0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 0.090 * * [simplify]: iters left: 6 (14 enodes) 0.098 * * [simplify]: iters left: 5 (57 enodes) 0.119 * * [simplify]: iters left: 4 (113 enodes) 0.185 * * [simplify]: iters left: 3 (238 enodes) 0.294 * * [simplify]: Extracting #0: cost 1 inf + 0 0.294 * * [simplify]: Extracting #1: cost 31 inf + 0 0.295 * * [simplify]: Extracting #2: cost 82 inf + 2 0.295 * * [simplify]: Extracting #3: cost 107 inf + 209 0.296 * * [simplify]: Extracting #4: cost 82 inf + 3474 0.297 * * [simplify]: Extracting #5: cost 63 inf + 6248 0.303 * * [simplify]: Extracting #6: cost 14 inf + 18680 0.316 * * [simplify]: Extracting #7: cost 0 inf + 22575 0.329 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 0.329 * [simplify]: Simplified (2) to (λ (v) (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v)))) 0.335 * * [progress]: iteration 1 / 4 0.335 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.386 * * * [progress]: generating rewritten candidates 0.386 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 0.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.423 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.441 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.501 * * * [progress]: generating series expansions 0.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 0.501 * [backup-simplify]: Simplify (* 3 (* v v)) into (* 3 (pow v 2)) 0.501 * [approximate]: Taking taylor expansion of (* 3 (pow v 2)) in (v) around 0 0.501 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.501 * [taylor]: Taking taylor expansion of 3 in v 0.501 * [backup-simplify]: Simplify 3 into 3 0.501 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.501 * [taylor]: Taking taylor expansion of v in v 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.502 * [taylor]: Taking taylor expansion of 3 in v 0.502 * [backup-simplify]: Simplify 3 into 3 0.502 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.502 * [taylor]: Taking taylor expansion of v in v 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (* 3 1) into 3 0.503 * [backup-simplify]: Simplify 3 into 3 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) 0.512 * [backup-simplify]: Simplify (* 3 (* (/ 1 v) (/ 1 v))) into (/ 3 (pow v 2)) 0.512 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 0.512 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 0.512 * [taylor]: Taking taylor expansion of 3 in v 0.512 * [backup-simplify]: Simplify 3 into 3 0.512 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.512 * [taylor]: Taking taylor expansion of v in v 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 3 1) into 3 0.513 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 0.513 * [taylor]: Taking taylor expansion of 3 in v 0.513 * [backup-simplify]: Simplify 3 into 3 0.513 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.513 * [taylor]: Taking taylor expansion of v in v 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 3 1) into 3 0.513 * [backup-simplify]: Simplify 3 into 3 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) 0.522 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 3 (pow v 2)) 0.522 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 0.522 * [taylor]: Taking taylor expansion of 3 in v 0.522 * [backup-simplify]: Simplify 3 into 3 0.522 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.522 * [taylor]: Taking taylor expansion of v in v 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 3 1) into 3 0.522 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 0.522 * [taylor]: Taking taylor expansion of 3 in v 0.522 * [backup-simplify]: Simplify 3 into 3 0.523 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.523 * [taylor]: Taking taylor expansion of v in v 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 3 1) into 3 0.523 * [backup-simplify]: Simplify 3 into 3 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) 0.533 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.533 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* v v)))) into (sqrt (- 1 (* 3 (pow v 2)))) 0.533 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in (v) around 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.533 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.533 * [taylor]: Taking taylor expansion of 1 in v 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.533 * [taylor]: Taking taylor expansion of 3 in v 0.533 * [backup-simplify]: Simplify 3 into 3 0.533 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.533 * [taylor]: Taking taylor expansion of v in v 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.535 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.535 * [taylor]: Taking taylor expansion of 1 in v 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.535 * [taylor]: Taking taylor expansion of 3 in v 0.535 * [backup-simplify]: Simplify 3 into 3 0.535 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.535 * [taylor]: Taking taylor expansion of v in v 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [backup-simplify]: Simplify (sqrt 1) into 1 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (* 3 1) into 3 0.539 * [backup-simplify]: Simplify (- 3) into -3 0.539 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.540 * [backup-simplify]: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 0.540 * [backup-simplify]: Simplify -3/2 into -3/2 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 0.544 * [backup-simplify]: Simplify -9/8 into -9/8 0.545 * [backup-simplify]: Simplify (+ (* -9/8 (pow v 4)) (+ (* -3/2 (pow v 2)) 1)) into (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2)))) 0.545 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) 0.545 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in (v) around 0 0.545 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.545 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.545 * [taylor]: Taking taylor expansion of 1 in v 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.545 * [taylor]: Taking taylor expansion of 3 in v 0.545 * [backup-simplify]: Simplify 3 into 3 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.545 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.545 * [taylor]: Taking taylor expansion of v in v 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (* 3 1) into 3 0.546 * [backup-simplify]: Simplify (- 3) into -3 0.546 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.546 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.549 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.549 * [taylor]: Taking taylor expansion of 1 in v 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.549 * [taylor]: Taking taylor expansion of 3 in v 0.549 * [backup-simplify]: Simplify 3 into 3 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.549 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.549 * [taylor]: Taking taylor expansion of v in v 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [backup-simplify]: Simplify (* 3 1) into 3 0.550 * [backup-simplify]: Simplify (- 3) into -3 0.550 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.550 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.553 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 0.557 * [backup-simplify]: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 0.568 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) 0.571 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 v)) (* (sqrt -3) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) 0.572 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) 0.572 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in (v) around 0 0.572 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.572 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.572 * [taylor]: Taking taylor expansion of 1 in v 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.572 * [taylor]: Taking taylor expansion of 3 in v 0.572 * [backup-simplify]: Simplify 3 into 3 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.572 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.572 * [taylor]: Taking taylor expansion of v in v 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [backup-simplify]: Simplify (* 3 1) into 3 0.574 * [backup-simplify]: Simplify (- 3) into -3 0.574 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.575 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.579 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.579 * [taylor]: Taking taylor expansion of 1 in v 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.579 * [taylor]: Taking taylor expansion of 3 in v 0.579 * [backup-simplify]: Simplify 3 into 3 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.579 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.579 * [taylor]: Taking taylor expansion of v in v 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (* 3 1) into 3 0.580 * [backup-simplify]: Simplify (- 3) into -3 0.581 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.581 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.585 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 1 0) into 1 0.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 0.594 * [backup-simplify]: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 0.604 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) 0.606 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 (- v))) (* (sqrt -3) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) 0.606 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.607 * [backup-simplify]: Simplify (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) 0.607 * [approximate]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) in (v) around 0 0.607 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) in v 0.607 * [taylor]: Taking taylor expansion of 1/4 in v 0.607 * [backup-simplify]: Simplify 1/4 into 1/4 0.607 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) in v 0.607 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.607 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.607 * [taylor]: Taking taylor expansion of 1 in v 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.607 * [taylor]: Taking taylor expansion of 3 in v 0.607 * [backup-simplify]: Simplify 3 into 3 0.607 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.607 * [taylor]: Taking taylor expansion of v in v 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.608 * [backup-simplify]: Simplify (sqrt 1) into 1 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.608 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.608 * [taylor]: Taking taylor expansion of 2 in v 0.608 * [backup-simplify]: Simplify 2 into 2 0.609 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.609 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2))) in v 0.609 * [taylor]: Taking taylor expansion of 1/4 in v 0.609 * [backup-simplify]: Simplify 1/4 into 1/4 0.609 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (sqrt 2)) in v 0.609 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.609 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.609 * [taylor]: Taking taylor expansion of 1 in v 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.609 * [taylor]: Taking taylor expansion of 3 in v 0.609 * [backup-simplify]: Simplify 3 into 3 0.609 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.609 * [taylor]: Taking taylor expansion of v in v 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (+ 1 0) into 1 0.610 * [backup-simplify]: Simplify (sqrt 1) into 1 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.611 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.611 * [taylor]: Taking taylor expansion of 2 in v 0.611 * [backup-simplify]: Simplify 2 into 2 0.611 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.612 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 0.612 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 0.613 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt 2))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 3 1) into 3 0.616 * [backup-simplify]: Simplify (- 3) into -3 0.616 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.616 * [backup-simplify]: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -3/2 (sqrt 2)))) into (- (* 3/2 (sqrt 2))) 0.622 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 3/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))) into (- (* 3/8 (sqrt 2))) 0.623 * [backup-simplify]: Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (sqrt 2))) 0.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -3/2 0) (* 0 (sqrt 2))))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* 3/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -3/2 0) (+ (* 0 0) (* -9/8 (sqrt 2)))))) into (- (* 9/8 (sqrt 2))) 0.641 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 9/8 (sqrt 2)))) (+ (* 0 0) (+ (* 0 (- (* 3/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 9/32 (sqrt 2))) 0.642 * [backup-simplify]: Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2))) 0.645 * [backup-simplify]: Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) 0.646 * [backup-simplify]: Simplify (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0.646 * [approximate]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 0.646 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.646 * [taylor]: Taking taylor expansion of 1/4 in v 0.646 * [backup-simplify]: Simplify 1/4 into 1/4 0.646 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.646 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.646 * [taylor]: Taking taylor expansion of 2 in v 0.646 * [backup-simplify]: Simplify 2 into 2 0.646 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.646 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.646 * [taylor]: Taking taylor expansion of 1 in v 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.647 * [taylor]: Taking taylor expansion of 3 in v 0.647 * [backup-simplify]: Simplify 3 into 3 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.647 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.647 * [taylor]: Taking taylor expansion of v in v 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify (* 3 1) into 3 0.648 * [backup-simplify]: Simplify (- 3) into -3 0.648 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.648 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.650 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.650 * [taylor]: Taking taylor expansion of 1/4 in v 0.650 * [backup-simplify]: Simplify 1/4 into 1/4 0.650 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.650 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.651 * [taylor]: Taking taylor expansion of 2 in v 0.651 * [backup-simplify]: Simplify 2 into 2 0.651 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.651 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.651 * [taylor]: Taking taylor expansion of 1 in v 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.651 * [taylor]: Taking taylor expansion of 3 in v 0.651 * [backup-simplify]: Simplify 3 into 3 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.651 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.651 * [taylor]: Taking taylor expansion of v in v 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [backup-simplify]: Simplify (* 3 1) into 3 0.652 * [backup-simplify]: Simplify (- 3) into -3 0.653 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.653 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.656 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt -3)) into (* (sqrt 2) (sqrt -3)) 0.657 * [backup-simplify]: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) 0.659 * [backup-simplify]: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) 0.660 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt -3))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (sqrt 2) (sqrt -3)))) into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 1 0) into 1 0.668 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 0.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.673 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/2 (/ (sqrt 2) (sqrt -3))) 0.680 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3))))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) 0.682 * [backup-simplify]: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 0.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.692 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3)))))) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 0.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.705 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.712 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.715 * [backup-simplify]: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.721 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 v) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 v)) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) 0.722 * [backup-simplify]: Simplify (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) into (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0.722 * [approximate]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 0.723 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.723 * [taylor]: Taking taylor expansion of 1/4 in v 0.723 * [backup-simplify]: Simplify 1/4 into 1/4 0.723 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.723 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.723 * [taylor]: Taking taylor expansion of 2 in v 0.723 * [backup-simplify]: Simplify 2 into 2 0.723 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.724 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.724 * [taylor]: Taking taylor expansion of 1 in v 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.724 * [taylor]: Taking taylor expansion of 3 in v 0.724 * [backup-simplify]: Simplify 3 into 3 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.724 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.724 * [taylor]: Taking taylor expansion of v in v 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (* 3 1) into 3 0.726 * [backup-simplify]: Simplify (- 3) into -3 0.726 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.726 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.730 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.730 * [taylor]: Taking taylor expansion of 1/4 in v 0.730 * [backup-simplify]: Simplify 1/4 into 1/4 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.730 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.730 * [taylor]: Taking taylor expansion of 2 in v 0.730 * [backup-simplify]: Simplify 2 into 2 0.731 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.732 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.732 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.732 * [taylor]: Taking taylor expansion of 1 in v 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.732 * [taylor]: Taking taylor expansion of 3 in v 0.732 * [backup-simplify]: Simplify 3 into 3 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.732 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.732 * [taylor]: Taking taylor expansion of v in v 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify (* 3 1) into 3 0.734 * [backup-simplify]: Simplify (- 3) into -3 0.734 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.734 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.739 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt -3)) into (* (sqrt 2) (sqrt -3)) 0.742 * [backup-simplify]: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) 0.744 * [backup-simplify]: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) 0.745 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt -3))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (sqrt 2) (sqrt -3)))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 1 0) into 1 0.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 0.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.759 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/2 (/ (sqrt 2) (sqrt -3))) 0.765 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3))))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) 0.767 * [backup-simplify]: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- 0) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 0.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.776 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3)))))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 0.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.798 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.812 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ (sqrt 2) (sqrt -3)))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt -3))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.815 * [backup-simplify]: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) 0.820 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 (- v))) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) 0.820 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.821 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) 0.821 * [approximate]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in (v) around 0 0.821 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in v 0.821 * [taylor]: Taking taylor expansion of 1/4 in v 0.821 * [backup-simplify]: Simplify 1/4 into 1/4 0.821 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))) in v 0.821 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.821 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.821 * [taylor]: Taking taylor expansion of 1 in v 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.821 * [taylor]: Taking taylor expansion of 3 in v 0.821 * [backup-simplify]: Simplify 3 into 3 0.821 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.821 * [taylor]: Taking taylor expansion of v in v 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (sqrt 1) into 1 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.823 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (pow v 2))) in v 0.823 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.823 * [taylor]: Taking taylor expansion of 2 in v 0.823 * [backup-simplify]: Simplify 2 into 2 0.823 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.824 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 0.824 * [taylor]: Taking taylor expansion of 1 in v 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.824 * [taylor]: Taking taylor expansion of v in v 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in v 0.824 * [taylor]: Taking taylor expansion of 1/4 in v 0.824 * [backup-simplify]: Simplify 1/4 into 1/4 0.824 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))) in v 0.824 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 0.824 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 0.824 * [taylor]: Taking taylor expansion of 1 in v 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 0.824 * [taylor]: Taking taylor expansion of 3 in v 0.824 * [backup-simplify]: Simplify 3 into 3 0.824 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.824 * [taylor]: Taking taylor expansion of v in v 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.825 * [backup-simplify]: Simplify (sqrt 1) into 1 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.825 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (pow v 2))) in v 0.825 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.825 * [taylor]: Taking taylor expansion of 2 in v 0.825 * [backup-simplify]: Simplify 2 into 2 0.826 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.826 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 0.826 * [taylor]: Taking taylor expansion of 1 in v 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.826 * [taylor]: Taking taylor expansion of v in v 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (+ 1 0) into 1 0.827 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.828 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 0.828 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 0.829 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt 2))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (* 1 1) into 1 0.831 * [backup-simplify]: Simplify (- 1) into -1 0.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.835 * [backup-simplify]: Simplify (+ (* (sqrt 2) -1) (+ (* 0 0) (* 0 1))) into (- (sqrt 2)) 0.836 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (* 3 1) into 3 0.837 * [backup-simplify]: Simplify (- 3) into -3 0.837 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.838 * [backup-simplify]: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 0.843 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 2))) (+ (* 0 0) (* -3/2 (sqrt 2)))) into (- (* 5/2 (sqrt 2))) 0.848 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))) into (- (* 5/8 (sqrt 2))) 0.849 * [backup-simplify]: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.855 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (sqrt 2))) (+ (* -3/2 0) (* 0 (sqrt 2))))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (- 0) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -3/2 (- (sqrt 2))) (+ (* 0 0) (* -9/8 (sqrt 2)))))) into (* 3/8 (sqrt 2)) 0.885 * [backup-simplify]: Simplify (+ (* 1/4 (* 3/8 (sqrt 2))) (+ (* 0 0) (+ (* 0 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (* 3/32 (sqrt 2)) 0.886 * [backup-simplify]: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) 0.890 * [backup-simplify]: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) 0.891 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) into (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 0.891 * [approximate]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 0.891 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.891 * [taylor]: Taking taylor expansion of 1/4 in v 0.891 * [backup-simplify]: Simplify 1/4 into 1/4 0.891 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.891 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 0.891 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.891 * [taylor]: Taking taylor expansion of 2 in v 0.891 * [backup-simplify]: Simplify 2 into 2 0.892 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.893 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 0.893 * [taylor]: Taking taylor expansion of 1 in v 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.893 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.893 * [taylor]: Taking taylor expansion of v in v 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.894 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.894 * [taylor]: Taking taylor expansion of 1 in v 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.894 * [taylor]: Taking taylor expansion of 3 in v 0.894 * [backup-simplify]: Simplify 3 into 3 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.894 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.894 * [taylor]: Taking taylor expansion of v in v 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (* 3 1) into 3 0.895 * [backup-simplify]: Simplify (- 3) into -3 0.896 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.896 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.900 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 0.900 * [taylor]: Taking taylor expansion of 1/4 in v 0.900 * [backup-simplify]: Simplify 1/4 into 1/4 0.900 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 0.900 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 0.900 * [taylor]: Taking taylor expansion of (sqrt 2) in v 0.900 * [taylor]: Taking taylor expansion of 2 in v 0.900 * [backup-simplify]: Simplify 2 into 2 0.900 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.901 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 0.901 * [taylor]: Taking taylor expansion of 1 in v 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.901 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.901 * [taylor]: Taking taylor expansion of v in v 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 0.902 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 0.902 * [taylor]: Taking taylor expansion of 1 in v 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 0.902 * [taylor]: Taking taylor expansion of 3 in v 0.902 * [backup-simplify]: Simplify 3 into 3 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.902 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.902 * [taylor]: Taking taylor expansion of v in v 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 1 1) into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [backup-simplify]: Simplify (* 3 1) into 3 0.904 * [backup-simplify]: Simplify (- 3) into -3 0.904 * [backup-simplify]: Simplify (+ 0 -3) into -3 0.905 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 0.909 * [backup-simplify]: Simplify (- 1) into -1 0.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.910 * [backup-simplify]: Simplify (* (sqrt 2) -1) into (* -1 (sqrt 2)) 0.912 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (sqrt -3)) into (* -1 (* (sqrt 2) (sqrt -3))) 0.915 * [backup-simplify]: Simplify (* 1/4 (* -1 (* (sqrt 2) (sqrt -3)))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 0.918 * [backup-simplify]: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 -1)) into 0 0.922 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ 1 0) into 1 0.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.933 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 -1))) into (sqrt 2) 0.939 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (sqrt 2) (sqrt -3)))) into (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 0.945 * [backup-simplify]: Simplify (+ (* 1/4 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 0.948 * [backup-simplify]: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.954 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (sqrt 2) 0) (* 0 (sqrt -3))))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))))) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.974 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 1.005 * [backup-simplify]: Simplify (+ (* 1/4 (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.013 * [backup-simplify]: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.030 * [backup-simplify]: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) 1.031 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) into (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 1.032 * [approximate]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 1.032 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 1.032 * [taylor]: Taking taylor expansion of 1/4 in v 1.032 * [backup-simplify]: Simplify 1/4 into 1/4 1.032 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 1.032 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 1.032 * [taylor]: Taking taylor expansion of (sqrt 2) in v 1.032 * [taylor]: Taking taylor expansion of 2 in v 1.032 * [backup-simplify]: Simplify 2 into 2 1.032 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.033 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.033 * [taylor]: Taking taylor expansion of 1 in v 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.033 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.033 * [taylor]: Taking taylor expansion of v in v 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 1.034 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 1.034 * [taylor]: Taking taylor expansion of 1 in v 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 1.034 * [taylor]: Taking taylor expansion of 3 in v 1.034 * [backup-simplify]: Simplify 3 into 3 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.034 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.034 * [taylor]: Taking taylor expansion of v in v 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (* 1 1) into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [backup-simplify]: Simplify (* 3 1) into 3 1.036 * [backup-simplify]: Simplify (- 3) into -3 1.037 * [backup-simplify]: Simplify (+ 0 -3) into -3 1.037 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 1.041 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 1.041 * [taylor]: Taking taylor expansion of 1/4 in v 1.041 * [backup-simplify]: Simplify 1/4 into 1/4 1.041 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 1.041 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 1.041 * [taylor]: Taking taylor expansion of (sqrt 2) in v 1.041 * [taylor]: Taking taylor expansion of 2 in v 1.041 * [backup-simplify]: Simplify 2 into 2 1.041 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.042 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.042 * [taylor]: Taking taylor expansion of 1 in v 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.042 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.042 * [taylor]: Taking taylor expansion of v in v 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (/ 1 1) into 1 1.043 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 1.043 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 1.043 * [taylor]: Taking taylor expansion of 1 in v 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 1.043 * [taylor]: Taking taylor expansion of 3 in v 1.043 * [backup-simplify]: Simplify 3 into 3 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.043 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.043 * [taylor]: Taking taylor expansion of v in v 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [backup-simplify]: Simplify (* 3 1) into 3 1.045 * [backup-simplify]: Simplify (- 3) into -3 1.045 * [backup-simplify]: Simplify (+ 0 -3) into -3 1.046 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 1.050 * [backup-simplify]: Simplify (- 1) into -1 1.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.051 * [backup-simplify]: Simplify (* (sqrt 2) -1) into (* -1 (sqrt 2)) 1.053 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (sqrt -3)) into (* -1 (* (sqrt 2) (sqrt -3))) 1.057 * [backup-simplify]: Simplify (* 1/4 (* -1 (* (sqrt 2) (sqrt -3)))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 1.059 * [backup-simplify]: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 -1)) into 0 1.066 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))) into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.071 * [backup-simplify]: Simplify (- 0) into 0 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.081 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 -1))) into (sqrt 2) 1.088 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (sqrt 2) (sqrt -3)))) into (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 1.099 * [backup-simplify]: Simplify (+ (* 1/4 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.105 * [backup-simplify]: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.116 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (sqrt 2) 0) (* 0 (sqrt -3))))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))))) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 1.147 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 1.158 * [backup-simplify]: Simplify (+ (* 1/4 (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.162 * [backup-simplify]: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 1.174 * [backup-simplify]: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) 1.175 * * * [progress]: simplifying candidates 1.175 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 1.175 * [simplify]: Simplifying (* 3 (* v v)) 1.175 * * [simplify]: iters left: 4 (4 enodes) 1.178 * * [simplify]: iters left: 3 (15 enodes) 1.182 * * [simplify]: iters left: 2 (19 enodes) 1.191 * * [simplify]: Extracting #0: cost 1 inf + 0 1.191 * * [simplify]: Extracting #1: cost 6 inf + 0 1.191 * * [simplify]: Extracting #2: cost 5 inf + 43 1.191 * * [simplify]: Extracting #3: cost 0 inf + 332 1.191 * [simplify]: Simplified to (* 3 (* v v)) 1.191 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))) 1.191 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 1.192 * [simplify]: Simplifying (* 3 (* v v)) 1.192 * * [simplify]: iters left: 4 (4 enodes) 1.193 * * [simplify]: iters left: 3 (15 enodes) 1.196 * * [simplify]: iters left: 2 (19 enodes) 1.198 * * [simplify]: Extracting #0: cost 1 inf + 0 1.199 * * [simplify]: Extracting #1: cost 6 inf + 0 1.199 * * [simplify]: Extracting #2: cost 5 inf + 43 1.199 * * [simplify]: Extracting #3: cost 0 inf + 332 1.199 * [simplify]: Simplified to (* 3 (* v v)) 1.199 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))) 1.199 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 1.199 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 1.199 * [simplify]: Simplifying (+ (log 3) (+ (log v) (log v))) 1.199 * * [simplify]: iters left: 5 (6 enodes) 1.201 * * [simplify]: iters left: 4 (21 enodes) 1.205 * * [simplify]: iters left: 3 (25 enodes) 1.209 * * [simplify]: Extracting #0: cost 1 inf + 0 1.209 * * [simplify]: Extracting #1: cost 6 inf + 0 1.209 * * [simplify]: Extracting #2: cost 12 inf + 0 1.209 * * [simplify]: Extracting #3: cost 10 inf + 2 1.209 * * [simplify]: Extracting #4: cost 0 inf + 1316 1.209 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 1.209 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))) 1.209 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 1.209 * [simplify]: Simplifying (+ (log 3) (log (* v v))) 1.209 * * [simplify]: iters left: 5 (6 enodes) 1.211 * * [simplify]: iters left: 4 (21 enodes) 1.215 * * [simplify]: iters left: 3 (27 enodes) 1.219 * * [simplify]: iters left: 2 (32 enodes) 1.228 * * [simplify]: Extracting #0: cost 1 inf + 0 1.228 * * [simplify]: Extracting #1: cost 6 inf + 0 1.228 * * [simplify]: Extracting #2: cost 13 inf + 0 1.228 * * [simplify]: Extracting #3: cost 9 inf + 185 1.229 * * [simplify]: Extracting #4: cost 4 inf + 741 1.229 * * [simplify]: Extracting #5: cost 0 inf + 1398 1.229 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 1.229 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))) 1.230 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 1.230 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 1.230 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 1.230 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) v) (* (* v v) v))) 1.230 * * [simplify]: iters left: 6 (8 enodes) 1.236 * * [simplify]: iters left: 5 (38 enodes) 1.251 * * [simplify]: iters left: 4 (96 enodes) 1.272 * * [simplify]: iters left: 3 (265 enodes) 1.449 * * [simplify]: Extracting #0: cost 1 inf + 0 1.449 * * [simplify]: Extracting #1: cost 54 inf + 0 1.451 * * [simplify]: Extracting #2: cost 83 inf + 1839 1.456 * * [simplify]: Extracting #3: cost 30 inf + 7514 1.462 * * [simplify]: Extracting #4: cost 8 inf + 12317 1.469 * * [simplify]: Extracting #5: cost 0 inf + 14739 1.480 * [simplify]: Simplified to (* 27 (* (* v (* v v)) (* v (* v v)))) 1.480 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* 27 (* (* v (* v v)) (* v (* v v)))))))) (- 1 (* v v)))) 1.480 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 1.480 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) (* v v)) (* v v))) 1.480 * * [simplify]: iters left: 6 (8 enodes) 1.486 * * [simplify]: iters left: 5 (39 enodes) 1.506 * * [simplify]: iters left: 4 (96 enodes) 1.539 * * [simplify]: iters left: 3 (269 enodes) 1.679 * * [simplify]: Extracting #0: cost 1 inf + 0 1.679 * * [simplify]: Extracting #1: cost 72 inf + 0 1.680 * * [simplify]: Extracting #2: cost 120 inf + 818 1.683 * * [simplify]: Extracting #3: cost 39 inf + 12504 1.687 * * [simplify]: Extracting #4: cost 1 inf + 19795 1.691 * * [simplify]: Extracting #5: cost 0 inf + 20047 1.695 * [simplify]: Simplified to (* (* v v) (* (* (* v v) (* v v)) 27)) 1.695 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* v v) (* (* (* v v) (* v v)) 27)))))) (- 1 (* v v)))) 1.695 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 1.695 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 1.696 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 1.696 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 1.696 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 1.696 * [simplify]: Simplifying (* (sqrt 3) v) 1.696 * * [simplify]: iters left: 3 (4 enodes) 1.699 * * [simplify]: iters left: 2 (13 enodes) 1.703 * * [simplify]: Extracting #0: cost 1 inf + 0 1.703 * * [simplify]: Extracting #1: cost 4 inf + 0 1.703 * * [simplify]: Extracting #2: cost 5 inf + 1 1.703 * * [simplify]: Extracting #3: cost 4 inf + 2 1.703 * * [simplify]: Extracting #4: cost 0 inf + 248 1.704 * [simplify]: Simplified to (* v (sqrt 3)) 1.704 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (sqrt 3)) (* (sqrt 3) v))))) (- 1 (* v v)))) 1.704 * [simplify]: Simplifying (* (sqrt 3) v) 1.704 * * [simplify]: iters left: 3 (4 enodes) 1.707 * * [simplify]: iters left: 2 (13 enodes) 1.712 * * [simplify]: Extracting #0: cost 1 inf + 0 1.712 * * [simplify]: Extracting #1: cost 4 inf + 0 1.712 * * [simplify]: Extracting #2: cost 5 inf + 1 1.712 * * [simplify]: Extracting #3: cost 4 inf + 2 1.712 * * [simplify]: Extracting #4: cost 0 inf + 248 1.712 * [simplify]: Simplified to (* v (sqrt 3)) 1.712 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (sqrt 3) v) (* v (sqrt 3)))))) (- 1 (* v v)))) 1.712 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 1.712 * * * * [progress]: [ 16 / 145 ] simplifiying candidate # 1.713 * [simplify]: Simplifying (* (cbrt 3) (cbrt 3)) 1.713 * * [simplify]: iters left: 3 (3 enodes) 1.715 * * [simplify]: iters left: 2 (9 enodes) 1.718 * * [simplify]: Extracting #0: cost 1 inf + 0 1.718 * * [simplify]: Extracting #1: cost 3 inf + 0 1.718 * * [simplify]: Extracting #2: cost 5 inf + 0 1.718 * * [simplify]: Extracting #3: cost 4 inf + 1 1.719 * * [simplify]: Extracting #4: cost 0 inf + 405 1.719 * [simplify]: Simplified to (* (cbrt 3) (cbrt 3)) 1.719 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* v v)))))) (- 1 (* v v)))) 1.719 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 1.719 * [simplify]: Simplifying (sqrt 3) 1.719 * * [simplify]: iters left: 1 (2 enodes) 1.721 * * [simplify]: Extracting #0: cost 1 inf + 0 1.721 * * [simplify]: Extracting #1: cost 3 inf + 0 1.721 * * [simplify]: Extracting #2: cost 2 inf + 1 1.721 * * [simplify]: Extracting #3: cost 0 inf + 83 1.721 * [simplify]: Simplified to (sqrt 3) 1.721 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt 3) (* (sqrt 3) (* v v)))))) (- 1 (* v v)))) 1.721 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 1.721 * * * * [progress]: [ 19 / 145 ] simplifiying candidate #real (real->posit16 (* 3 (* v v))))))) (- 1 (* v v))))> 1.721 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 1.722 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 1.722 * [simplify]: Simplifying (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) 1.722 * * [simplify]: iters left: 6 (9 enodes) 1.725 * * [simplify]: iters left: 5 (35 enodes) 1.731 * * [simplify]: iters left: 4 (55 enodes) 1.744 * * [simplify]: iters left: 3 (73 enodes) 1.758 * * [simplify]: Extracting #0: cost 1 inf + 0 1.758 * * [simplify]: Extracting #1: cost 4 inf + 0 1.758 * * [simplify]: Extracting #2: cost 7 inf + 0 1.758 * * [simplify]: Extracting #3: cost 11 inf + 0 1.758 * * [simplify]: Extracting #4: cost 20 inf + 1 1.758 * * [simplify]: Extracting #5: cost 19 inf + 128 1.759 * * [simplify]: Extracting #6: cost 9 inf + 867 1.760 * * [simplify]: Extracting #7: cost 1 inf + 2207 1.761 * * [simplify]: Extracting #8: cost 0 inf + 2450 1.762 * [simplify]: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) 1.762 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (* (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (cbrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 1.762 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 1.762 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) 1.763 * * [simplify]: iters left: 6 (8 enodes) 1.767 * * [simplify]: iters left: 5 (31 enodes) 1.778 * * [simplify]: iters left: 4 (51 enodes) 1.795 * * [simplify]: iters left: 3 (69 enodes) 1.815 * * [simplify]: Extracting #0: cost 1 inf + 0 1.815 * * [simplify]: Extracting #1: cost 3 inf + 0 1.815 * * [simplify]: Extracting #2: cost 5 inf + 0 1.815 * * [simplify]: Extracting #3: cost 9 inf + 0 1.815 * * [simplify]: Extracting #4: cost 18 inf + 1 1.815 * * [simplify]: Extracting #5: cost 17 inf + 128 1.816 * * [simplify]: Extracting #6: cost 6 inf + 868 1.817 * * [simplify]: Extracting #7: cost 0 inf + 1804 1.818 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) 1.818 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 1.818 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 1.818 * [simplify]: Simplifying (sqrt 1) 1.818 * * [simplify]: iters left: 1 (2 enodes) 1.821 * * [simplify]: Extracting #0: cost 1 inf + 0 1.821 * * [simplify]: Extracting #1: cost 0 inf + 1 1.821 * [simplify]: Simplified to 1 1.821 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (* 1 (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 1.822 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 1.822 * [simplify]: Simplifying (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))) 1.822 * * [simplify]: iters left: 6 (9 enodes) 1.829 * * [simplify]: iters left: 5 (46 enodes) 1.849 * * [simplify]: iters left: 4 (125 enodes) 1.921 * * [simplify]: iters left: 3 (400 enodes) 2.220 * * [simplify]: Extracting #0: cost 1 inf + 0 2.220 * * [simplify]: Extracting #1: cost 3 inf + 0 2.220 * * [simplify]: Extracting #2: cost 7 inf + 0 2.220 * * [simplify]: Extracting #3: cost 75 inf + 1 2.222 * * [simplify]: Extracting #4: cost 154 inf + 1794 2.230 * * [simplify]: Extracting #5: cost 73 inf + 13635 2.236 * * [simplify]: Extracting #6: cost 18 inf + 24926 2.243 * * [simplify]: Extracting #7: cost 5 inf + 31364 2.251 * * [simplify]: Extracting #8: cost 0 inf + 33782 2.263 * [simplify]: Simplified to (sqrt (- 1 (* (* (* v v) (* (* v v) 27)) (* v v)))) 2.263 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (/ (sqrt (- 1 (* (* (* v v) (* (* v v) 27)) (* v v)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v)))) 2.263 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 2.264 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))) 2.264 * * [simplify]: iters left: 6 (9 enodes) 2.270 * * [simplify]: iters left: 5 (40 enodes) 2.287 * * [simplify]: iters left: 4 (93 enodes) 2.309 * * [simplify]: iters left: 3 (204 enodes) 2.363 * * [simplify]: iters left: 2 (341 enodes) 2.477 * * [simplify]: iters left: 1 (395 enodes) 2.607 * * [simplify]: Extracting #0: cost 1 inf + 0 2.607 * * [simplify]: Extracting #1: cost 3 inf + 0 2.607 * * [simplify]: Extracting #2: cost 7 inf + 0 2.607 * * [simplify]: Extracting #3: cost 55 inf + 1 2.608 * * [simplify]: Extracting #4: cost 96 inf + 2081 2.610 * * [simplify]: Extracting #5: cost 73 inf + 4450 2.612 * * [simplify]: Extracting #6: cost 43 inf + 11008 2.616 * * [simplify]: Extracting #7: cost 5 inf + 21669 2.619 * * [simplify]: Extracting #8: cost 0 inf + 23895 2.623 * [simplify]: Simplified to (sqrt (- 1 (* 9 (* (* v v) (* v v))))) 2.623 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (/ (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))) 2.623 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 2.623 * [simplify]: Simplifying (- 1 (* 3 (* v v))) 2.623 * * [simplify]: iters left: 6 (6 enodes) 2.626 * * [simplify]: iters left: 5 (25 enodes) 2.633 * * [simplify]: iters left: 4 (45 enodes) 2.640 * * [simplify]: iters left: 3 (63 enodes) 2.653 * * [simplify]: Extracting #0: cost 1 inf + 0 2.653 * * [simplify]: Extracting #1: cost 5 inf + 0 2.653 * * [simplify]: Extracting #2: cost 14 inf + 1 2.653 * * [simplify]: Extracting #3: cost 13 inf + 128 2.653 * * [simplify]: Extracting #4: cost 2 inf + 868 2.653 * * [simplify]: Extracting #5: cost 0 inf + 1072 2.654 * [simplify]: Simplified to (+ 1 (* (* v v) -3)) 2.654 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (pow (+ 1 (* (* v v) -3)) (/ 1 2))) (- 1 (* v v)))) 2.654 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 2.654 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 2.654 * [simplify]: Simplifying (sqrt (- 1 (* 3 (* v v)))) 2.654 * * [simplify]: iters left: 6 (7 enodes) 2.657 * * [simplify]: iters left: 5 (28 enodes) 2.662 * * [simplify]: iters left: 4 (48 enodes) 2.670 * * [simplify]: iters left: 3 (66 enodes) 2.682 * * [simplify]: Extracting #0: cost 1 inf + 0 2.682 * * [simplify]: Extracting #1: cost 3 inf + 0 2.682 * * [simplify]: Extracting #2: cost 7 inf + 0 2.682 * * [simplify]: Extracting #3: cost 16 inf + 1 2.683 * * [simplify]: Extracting #4: cost 13 inf + 331 2.683 * * [simplify]: Extracting #5: cost 4 inf + 907 2.684 * * [simplify]: Extracting #6: cost 0 inf + 1398 2.685 * [simplify]: Simplified to (sqrt (- 1 (* (* v v) 3))) 2.685 * [simplify]: Simplified (2 1 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (fabs (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) 2.685 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 2.685 * * * * [progress]: [ 36 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))> 2.685 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 2.685 * [simplify]: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 2.685 * * [simplify]: iters left: 6 (12 enodes) 2.693 * * [simplify]: iters left: 5 (46 enodes) 2.710 * * [simplify]: iters left: 4 (72 enodes) 2.729 * * [simplify]: iters left: 3 (92 enodes) 2.743 * * [simplify]: Extracting #0: cost 1 inf + 0 2.743 * * [simplify]: Extracting #1: cost 8 inf + 0 2.743 * * [simplify]: Extracting #2: cost 14 inf + 1 2.743 * * [simplify]: Extracting #3: cost 17 inf + 2 2.743 * * [simplify]: Extracting #4: cost 22 inf + 249 2.743 * * [simplify]: Extracting #5: cost 20 inf + 457 2.743 * * [simplify]: Extracting #6: cost 11 inf + 992 2.744 * * [simplify]: Extracting #7: cost 9 inf + 1197 2.744 * * [simplify]: Extracting #8: cost 2 inf + 2583 2.745 * * [simplify]: Extracting #9: cost 0 inf + 3112 2.745 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* v v) -3))) (/ (sqrt 2) 4)) 2.746 * [simplify]: Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (+ 1 (* (* v v) -3))) (/ (sqrt 2) 4)) 1) (- 1 (* v v)))) 2.746 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 2.746 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 2.746 * [simplify]: Simplifying (+ (- (log (sqrt 2)) (log 4)) (log (sqrt (- 1 (* 3 (* v v)))))) 2.746 * * [simplify]: iters left: 6 (15 enodes) 2.754 * * [simplify]: iters left: 5 (57 enodes) 2.774 * * [simplify]: iters left: 4 (91 enodes) 2.794 * * [simplify]: iters left: 3 (128 enodes) 2.814 * * [simplify]: iters left: 2 (135 enodes) 2.838 * * [simplify]: iters left: 1 (139 enodes) 2.860 * * [simplify]: Extracting #0: cost 1 inf + 0 2.860 * * [simplify]: Extracting #1: cost 15 inf + 0 2.860 * * [simplify]: Extracting #2: cost 30 inf + 0 2.860 * * [simplify]: Extracting #3: cost 30 inf + 294 2.860 * * [simplify]: Extracting #4: cost 30 inf + 448 2.860 * * [simplify]: Extracting #5: cost 33 inf + 1528 2.861 * * [simplify]: Extracting #6: cost 31 inf + 2058 2.861 * * [simplify]: Extracting #7: cost 8 inf + 6047 2.863 * * [simplify]: Extracting #8: cost 0 inf + 8827 2.865 * [simplify]: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (- (log (sqrt 2)) (log 4))) 2.865 * [simplify]: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (- 1 (* (* v v) 3)))) (- (log (sqrt 2)) (log 4)))) (- 1 (* v v)))) 2.865 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 2.865 * [simplify]: Simplifying (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) 2.865 * * [simplify]: iters left: 6 (14 enodes) 2.870 * * [simplify]: iters left: 5 (53 enodes) 2.880 * * [simplify]: iters left: 4 (83 enodes) 2.896 * * [simplify]: iters left: 3 (116 enodes) 2.932 * * [simplify]: iters left: 2 (132 enodes) 2.963 * * [simplify]: iters left: 1 (135 enodes) 2.983 * * [simplify]: Extracting #0: cost 1 inf + 0 2.983 * * [simplify]: Extracting #1: cost 13 inf + 0 2.983 * * [simplify]: Extracting #2: cost 26 inf + 0 2.983 * * [simplify]: Extracting #3: cost 27 inf + 254 2.984 * * [simplify]: Extracting #4: cost 28 inf + 407 2.984 * * [simplify]: Extracting #5: cost 29 inf + 1361 2.984 * * [simplify]: Extracting #6: cost 29 inf + 1447 2.985 * * [simplify]: Extracting #7: cost 18 inf + 2145 2.986 * * [simplify]: Extracting #8: cost 3 inf + 6187 2.987 * * [simplify]: Extracting #9: cost 0 inf + 7188 2.990 * [simplify]: Simplified to (+ (log (sqrt (+ 1 (* (* v -3) v)))) (log (/ (sqrt 2) 4))) 2.990 * [simplify]: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (+ 1 (* (* v -3) v)))) (log (/ (sqrt 2) 4)))) (- 1 (* v v)))) 2.990 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 2.990 * * * * [progress]: [ 42 / 145 ] simplifiying candidate # 2.990 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 2.990 * [simplify]: Simplifying (* (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* 4 4) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) 2.991 * * [simplify]: iters left: 6 (18 enodes) 3.003 * * [simplify]: iters left: 5 (74 enodes) 3.026 * * [simplify]: iters left: 4 (177 enodes) 3.114 * * [simplify]: Extracting #0: cost 1 inf + 0 3.114 * * [simplify]: Extracting #1: cost 43 inf + 0 3.115 * * [simplify]: Extracting #2: cost 131 inf + 6 3.116 * * [simplify]: Extracting #3: cost 173 inf + 1237 3.119 * * [simplify]: Extracting #4: cost 145 inf + 4311 3.123 * * [simplify]: Extracting #5: cost 109 inf + 9619 3.132 * * [simplify]: Extracting #6: cost 58 inf + 21072 3.146 * * [simplify]: Extracting #7: cost 6 inf + 35578 3.162 * * [simplify]: Extracting #8: cost 0 inf + 37284 3.179 * [simplify]: Simplified to (* (+ 1 (* (* v v) -3)) (* (* (sqrt (+ 1 (* (* v v) -3))) 1/32) (sqrt 2))) 3.179 * [simplify]: Simplified (2 1 1) to (λ (v) (* (cbrt (* (+ 1 (* (* v v) -3)) (* (* (sqrt (+ 1 (* (* v v) -3))) 1/32) (sqrt 2)))) (- 1 (* v v)))) 3.179 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 3.179 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) 3.180 * * [simplify]: iters left: 6 (16 enodes) 3.190 * * [simplify]: iters left: 5 (66 enodes) 3.219 * * [simplify]: iters left: 4 (157 enodes) 3.292 * * [simplify]: iters left: 3 (464 enodes) 3.848 * * [simplify]: Extracting #0: cost 1 inf + 0 3.848 * * [simplify]: Extracting #1: cost 74 inf + 0 3.850 * * [simplify]: Extracting #2: cost 344 inf + 49 3.856 * * [simplify]: Extracting #3: cost 498 inf + 6432 3.882 * * [simplify]: Extracting #4: cost 241 inf + 65854 3.945 * * [simplify]: Extracting #5: cost 6 inf + 133836 3.992 * * [simplify]: Extracting #6: cost 0 inf + 135142 4.045 * [simplify]: Simplified to (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* v v) 3)))) (* 1/32 (sqrt 2))) 4.045 * [simplify]: Simplified (2 1 1) to (λ (v) (* (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* v v) 3)))) (* 1/32 (sqrt 2)))) (- 1 (* v v)))) 4.045 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 4.045 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 4.045 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 4.046 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 4.046 * [simplify]: Simplifying (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) 4.046 * * [simplify]: iters left: 6 (12 enodes) 4.055 * * [simplify]: iters left: 5 (55 enodes) 4.081 * * [simplify]: iters left: 4 (132 enodes) 4.130 * * [simplify]: iters left: 3 (423 enodes) 4.392 * * [simplify]: Extracting #0: cost 1 inf + 0 4.392 * * [simplify]: Extracting #1: cost 4 inf + 0 4.392 * * [simplify]: Extracting #2: cost 8 inf + 0 4.392 * * [simplify]: Extracting #3: cost 11 inf + 1 4.392 * * [simplify]: Extracting #4: cost 77 inf + 84 4.395 * * [simplify]: Extracting #5: cost 179 inf + 1661 4.403 * * [simplify]: Extracting #6: cost 88 inf + 14678 4.423 * * [simplify]: Extracting #7: cost 16 inf + 32188 4.439 * * [simplify]: Extracting #8: cost 0 inf + 38038 4.448 * [simplify]: Simplified to (* (sqrt (- 1 (* (* v (* v v)) (* (* v (* v v)) 27)))) (sqrt 2)) 4.448 * [simplify]: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* (* v (* v v)) (* (* v (* v v)) 27)))) (sqrt 2)) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v)))) 4.448 * [simplify]: Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) 4.448 * * [simplify]: iters left: 6 (13 enodes) 4.453 * * [simplify]: iters left: 5 (59 enodes) 4.466 * * [simplify]: iters left: 4 (143 enodes) 4.512 * * [simplify]: iters left: 3 (233 enodes) 4.604 * * [simplify]: iters left: 2 (315 enodes) 4.712 * * [simplify]: iters left: 1 (368 enodes) 4.787 * * [simplify]: Extracting #0: cost 1 inf + 0 4.787 * * [simplify]: Extracting #1: cost 4 inf + 0 4.787 * * [simplify]: Extracting #2: cost 5 inf + 1 4.788 * * [simplify]: Extracting #3: cost 12 inf + 1 4.788 * * [simplify]: Extracting #4: cost 41 inf + 2 4.788 * * [simplify]: Extracting #5: cost 69 inf + 511 4.789 * * [simplify]: Extracting #6: cost 47 inf + 3091 4.791 * * [simplify]: Extracting #7: cost 14 inf + 9995 4.793 * * [simplify]: Extracting #8: cost 0 inf + 13391 4.796 * [simplify]: Simplified to (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4) 4.796 * [simplify]: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (* (* v (* v v)) (* (* v (* v v)) 27)))) (sqrt 2)) (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4)) (- 1 (* v v)))) 4.796 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 4.796 * [simplify]: Simplifying (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) 4.796 * * [simplify]: iters left: 6 (12 enodes) 4.802 * * [simplify]: iters left: 5 (50 enodes) 4.820 * * [simplify]: iters left: 4 (103 enodes) 4.846 * * [simplify]: iters left: 3 (215 enodes) 4.930 * * [simplify]: iters left: 2 (351 enodes) 5.039 * * [simplify]: iters left: 1 (430 enodes) 5.236 * * [simplify]: Extracting #0: cost 1 inf + 0 5.236 * * [simplify]: Extracting #1: cost 4 inf + 0 5.236 * * [simplify]: Extracting #2: cost 8 inf + 0 5.236 * * [simplify]: Extracting #3: cost 11 inf + 1 5.236 * * [simplify]: Extracting #4: cost 57 inf + 84 5.237 * * [simplify]: Extracting #5: cost 108 inf + 1069 5.241 * * [simplify]: Extracting #6: cost 68 inf + 6546 5.248 * * [simplify]: Extracting #7: cost 28 inf + 16516 5.255 * * [simplify]: Extracting #8: cost 11 inf + 21312 5.262 * * [simplify]: Extracting #9: cost 0 inf + 25342 5.270 * [simplify]: Simplified to (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (sqrt 2)) 5.270 * [simplify]: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (sqrt 2)) (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))) 5.270 * [simplify]: Simplifying (* 4 (sqrt (+ 1 (* 3 (* v v))))) 5.271 * * [simplify]: iters left: 6 (9 enodes) 5.276 * * [simplify]: iters left: 5 (34 enodes) 5.287 * * [simplify]: iters left: 4 (40 enodes) 5.300 * * [simplify]: Extracting #0: cost 1 inf + 0 5.300 * * [simplify]: Extracting #1: cost 4 inf + 0 5.300 * * [simplify]: Extracting #2: cost 5 inf + 1 5.300 * * [simplify]: Extracting #3: cost 8 inf + 1 5.300 * * [simplify]: Extracting #4: cost 12 inf + 2 5.300 * * [simplify]: Extracting #5: cost 11 inf + 46 5.300 * * [simplify]: Extracting #6: cost 8 inf + 211 5.301 * * [simplify]: Extracting #7: cost 3 inf + 743 5.301 * * [simplify]: Extracting #8: cost 0 inf + 1314 5.302 * [simplify]: Simplified to (* (sqrt (+ 1 (* v (* 3 v)))) 4) 5.302 * [simplify]: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt (+ 1 (* v (* 3 v)))) 4)) (- 1 (* v v)))) 5.302 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 5.302 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 5.302 * [simplify]: Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.302 * * [simplify]: iters left: 6 (14 enodes) 5.311 * * [simplify]: iters left: 5 (50 enodes) 5.328 * * [simplify]: iters left: 4 (70 enodes) 5.351 * * [simplify]: iters left: 3 (88 enodes) 5.378 * * [simplify]: Extracting #0: cost 1 inf + 0 5.378 * * [simplify]: Extracting #1: cost 4 inf + 0 5.378 * * [simplify]: Extracting #2: cost 8 inf + 0 5.378 * * [simplify]: Extracting #3: cost 13 inf + 0 5.378 * * [simplify]: Extracting #4: cost 18 inf + 1 5.378 * * [simplify]: Extracting #5: cost 23 inf + 167 5.378 * * [simplify]: Extracting #6: cost 17 inf + 743 5.379 * * [simplify]: Extracting #7: cost 2 inf + 2498 5.383 * * [simplify]: Extracting #8: cost 0 inf + 3026 5.384 * [simplify]: Simplified to (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) 5.384 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 5.385 * [simplify]: Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.385 * * [simplify]: iters left: 6 (14 enodes) 5.393 * * [simplify]: iters left: 5 (50 enodes) 5.403 * * [simplify]: iters left: 4 (70 enodes) 5.416 * * [simplify]: iters left: 3 (88 enodes) 5.430 * * [simplify]: Extracting #0: cost 1 inf + 0 5.431 * * [simplify]: Extracting #1: cost 4 inf + 0 5.431 * * [simplify]: Extracting #2: cost 8 inf + 0 5.431 * * [simplify]: Extracting #3: cost 13 inf + 0 5.431 * * [simplify]: Extracting #4: cost 18 inf + 1 5.431 * * [simplify]: Extracting #5: cost 23 inf + 167 5.431 * * [simplify]: Extracting #6: cost 17 inf + 743 5.432 * * [simplify]: Extracting #7: cost 2 inf + 2498 5.434 * * [simplify]: Extracting #8: cost 0 inf + 3026 5.435 * [simplify]: Simplified to (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) 5.435 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3))))))) (- 1 (* v v)))) 5.435 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 5.435 * [simplify]: Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.435 * * [simplify]: iters left: 6 (14 enodes) 5.445 * * [simplify]: iters left: 5 (50 enodes) 5.462 * * [simplify]: iters left: 4 (70 enodes) 5.485 * * [simplify]: iters left: 3 (88 enodes) 5.514 * * [simplify]: Extracting #0: cost 1 inf + 0 5.514 * * [simplify]: Extracting #1: cost 4 inf + 0 5.514 * * [simplify]: Extracting #2: cost 8 inf + 0 5.514 * * [simplify]: Extracting #3: cost 13 inf + 0 5.514 * * [simplify]: Extracting #4: cost 18 inf + 1 5.514 * * [simplify]: Extracting #5: cost 23 inf + 167 5.515 * * [simplify]: Extracting #6: cost 17 inf + 743 5.515 * * [simplify]: Extracting #7: cost 2 inf + 2498 5.516 * * [simplify]: Extracting #8: cost 0 inf + 3026 5.517 * [simplify]: Simplified to (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) 5.517 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 5.517 * [simplify]: Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.517 * * [simplify]: iters left: 6 (14 enodes) 5.521 * * [simplify]: iters left: 5 (50 enodes) 5.531 * * [simplify]: iters left: 4 (70 enodes) 5.544 * * [simplify]: iters left: 3 (88 enodes) 5.569 * * [simplify]: Extracting #0: cost 1 inf + 0 5.569 * * [simplify]: Extracting #1: cost 4 inf + 0 5.569 * * [simplify]: Extracting #2: cost 8 inf + 0 5.569 * * [simplify]: Extracting #3: cost 13 inf + 0 5.569 * * [simplify]: Extracting #4: cost 18 inf + 1 5.570 * * [simplify]: Extracting #5: cost 23 inf + 167 5.570 * * [simplify]: Extracting #6: cost 17 inf + 743 5.570 * * [simplify]: Extracting #7: cost 2 inf + 2498 5.571 * * [simplify]: Extracting #8: cost 0 inf + 3026 5.571 * [simplify]: Simplified to (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3)))))) 5.571 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* v (* v 3))))))) (- 1 (* v v)))) 5.572 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 5.572 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.572 * * [simplify]: iters left: 6 (15 enodes) 5.577 * * [simplify]: iters left: 5 (55 enodes) 5.587 * * [simplify]: iters left: 4 (82 enodes) 5.605 * * [simplify]: iters left: 3 (102 enodes) 5.637 * * [simplify]: Extracting #0: cost 1 inf + 0 5.637 * * [simplify]: Extracting #1: cost 8 inf + 0 5.638 * * [simplify]: Extracting #2: cost 14 inf + 1 5.638 * * [simplify]: Extracting #3: cost 16 inf + 42 5.638 * * [simplify]: Extracting #4: cost 15 inf + 487 5.638 * * [simplify]: Extracting #5: cost 24 inf + 488 5.639 * * [simplify]: Extracting #6: cost 23 inf + 615 5.639 * * [simplify]: Extracting #7: cost 11 inf + 1559 5.640 * * [simplify]: Extracting #8: cost 7 inf + 2088 5.642 * * [simplify]: Extracting #9: cost 0 inf + 4155 5.643 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 5.643 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 5.644 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.644 * * [simplify]: iters left: 6 (15 enodes) 5.654 * * [simplify]: iters left: 5 (55 enodes) 5.673 * * [simplify]: iters left: 4 (82 enodes) 5.698 * * [simplify]: iters left: 3 (102 enodes) 5.728 * * [simplify]: Extracting #0: cost 1 inf + 0 5.728 * * [simplify]: Extracting #1: cost 8 inf + 0 5.728 * * [simplify]: Extracting #2: cost 14 inf + 1 5.728 * * [simplify]: Extracting #3: cost 16 inf + 42 5.728 * * [simplify]: Extracting #4: cost 15 inf + 487 5.729 * * [simplify]: Extracting #5: cost 24 inf + 488 5.729 * * [simplify]: Extracting #6: cost 23 inf + 615 5.730 * * [simplify]: Extracting #7: cost 11 inf + 1559 5.731 * * [simplify]: Extracting #8: cost 7 inf + 2088 5.733 * * [simplify]: Extracting #9: cost 0 inf + 4155 5.734 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 5.734 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) 5.734 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 5.735 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.735 * * [simplify]: iters left: 6 (15 enodes) 5.746 * * [simplify]: iters left: 5 (55 enodes) 5.764 * * [simplify]: iters left: 4 (82 enodes) 5.792 * * [simplify]: iters left: 3 (102 enodes) 5.822 * * [simplify]: Extracting #0: cost 1 inf + 0 5.822 * * [simplify]: Extracting #1: cost 8 inf + 0 5.822 * * [simplify]: Extracting #2: cost 14 inf + 1 5.822 * * [simplify]: Extracting #3: cost 16 inf + 42 5.822 * * [simplify]: Extracting #4: cost 15 inf + 487 5.822 * * [simplify]: Extracting #5: cost 24 inf + 488 5.823 * * [simplify]: Extracting #6: cost 23 inf + 615 5.824 * * [simplify]: Extracting #7: cost 11 inf + 1559 5.824 * * [simplify]: Extracting #8: cost 7 inf + 2088 5.826 * * [simplify]: Extracting #9: cost 0 inf + 4155 5.828 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 5.828 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 5.828 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.828 * * [simplify]: iters left: 6 (15 enodes) 5.839 * * [simplify]: iters left: 5 (55 enodes) 5.857 * * [simplify]: iters left: 4 (82 enodes) 5.871 * * [simplify]: iters left: 3 (102 enodes) 5.888 * * [simplify]: Extracting #0: cost 1 inf + 0 5.888 * * [simplify]: Extracting #1: cost 8 inf + 0 5.888 * * [simplify]: Extracting #2: cost 14 inf + 1 5.888 * * [simplify]: Extracting #3: cost 16 inf + 42 5.888 * * [simplify]: Extracting #4: cost 15 inf + 487 5.888 * * [simplify]: Extracting #5: cost 24 inf + 488 5.889 * * [simplify]: Extracting #6: cost 23 inf + 615 5.889 * * [simplify]: Extracting #7: cost 11 inf + 1559 5.890 * * [simplify]: Extracting #8: cost 7 inf + 2088 5.892 * * [simplify]: Extracting #9: cost 0 inf + 4155 5.893 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 5.894 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) 5.894 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 5.894 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.894 * * [simplify]: iters left: 6 (15 enodes) 5.906 * * [simplify]: iters left: 5 (55 enodes) 5.916 * * [simplify]: iters left: 4 (82 enodes) 5.929 * * [simplify]: iters left: 3 (102 enodes) 5.952 * * [simplify]: Extracting #0: cost 1 inf + 0 5.952 * * [simplify]: Extracting #1: cost 8 inf + 0 5.952 * * [simplify]: Extracting #2: cost 14 inf + 1 5.952 * * [simplify]: Extracting #3: cost 16 inf + 42 5.952 * * [simplify]: Extracting #4: cost 15 inf + 487 5.952 * * [simplify]: Extracting #5: cost 24 inf + 488 5.952 * * [simplify]: Extracting #6: cost 23 inf + 615 5.953 * * [simplify]: Extracting #7: cost 11 inf + 1559 5.953 * * [simplify]: Extracting #8: cost 7 inf + 2088 5.954 * * [simplify]: Extracting #9: cost 0 inf + 4155 5.955 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 5.955 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 5.955 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 5.956 * * [simplify]: iters left: 6 (15 enodes) 5.961 * * [simplify]: iters left: 5 (55 enodes) 5.971 * * [simplify]: iters left: 4 (82 enodes) 5.992 * * [simplify]: iters left: 3 (102 enodes) 6.018 * * [simplify]: Extracting #0: cost 1 inf + 0 6.018 * * [simplify]: Extracting #1: cost 8 inf + 0 6.018 * * [simplify]: Extracting #2: cost 14 inf + 1 6.018 * * [simplify]: Extracting #3: cost 16 inf + 42 6.018 * * [simplify]: Extracting #4: cost 15 inf + 487 6.018 * * [simplify]: Extracting #5: cost 24 inf + 488 6.018 * * [simplify]: Extracting #6: cost 23 inf + 615 6.019 * * [simplify]: Extracting #7: cost 11 inf + 1559 6.019 * * [simplify]: Extracting #8: cost 7 inf + 2088 6.020 * * [simplify]: Extracting #9: cost 0 inf + 4155 6.021 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 6.021 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) 6.021 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 6.021 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 6.021 * * [simplify]: iters left: 6 (15 enodes) 6.027 * * [simplify]: iters left: 5 (55 enodes) 6.037 * * [simplify]: iters left: 4 (82 enodes) 6.060 * * [simplify]: iters left: 3 (102 enodes) 6.089 * * [simplify]: Extracting #0: cost 1 inf + 0 6.089 * * [simplify]: Extracting #1: cost 8 inf + 0 6.089 * * [simplify]: Extracting #2: cost 14 inf + 1 6.089 * * [simplify]: Extracting #3: cost 16 inf + 42 6.089 * * [simplify]: Extracting #4: cost 15 inf + 487 6.090 * * [simplify]: Extracting #5: cost 24 inf + 488 6.090 * * [simplify]: Extracting #6: cost 23 inf + 615 6.091 * * [simplify]: Extracting #7: cost 11 inf + 1559 6.092 * * [simplify]: Extracting #8: cost 7 inf + 2088 6.093 * * [simplify]: Extracting #9: cost 0 inf + 4155 6.095 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 6.095 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) 6.096 * [simplify]: Simplifying (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) 6.096 * * [simplify]: iters left: 6 (15 enodes) 6.106 * * [simplify]: iters left: 5 (55 enodes) 6.125 * * [simplify]: iters left: 4 (82 enodes) 6.149 * * [simplify]: iters left: 3 (102 enodes) 6.165 * * [simplify]: Extracting #0: cost 1 inf + 0 6.166 * * [simplify]: Extracting #1: cost 8 inf + 0 6.166 * * [simplify]: Extracting #2: cost 14 inf + 1 6.166 * * [simplify]: Extracting #3: cost 16 inf + 42 6.166 * * [simplify]: Extracting #4: cost 15 inf + 487 6.166 * * [simplify]: Extracting #5: cost 24 inf + 488 6.167 * * [simplify]: Extracting #6: cost 23 inf + 615 6.167 * * [simplify]: Extracting #7: cost 11 inf + 1559 6.168 * * [simplify]: Extracting #8: cost 7 inf + 2088 6.170 * * [simplify]: Extracting #9: cost 0 inf + 4155 6.171 * [simplify]: Simplified to (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3))))) 6.172 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt (sqrt 2)) 2) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) 6.172 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 6.172 * [simplify]: Simplifying (cbrt (sqrt (- 1 (* 3 (* v v))))) 6.172 * * [simplify]: iters left: 6 (8 enodes) 6.177 * * [simplify]: iters left: 5 (31 enodes) 6.188 * * [simplify]: iters left: 4 (51 enodes) 6.196 * * [simplify]: iters left: 3 (69 enodes) 6.207 * * [simplify]: Extracting #0: cost 1 inf + 0 6.207 * * [simplify]: Extracting #1: cost 3 inf + 0 6.207 * * [simplify]: Extracting #2: cost 5 inf + 0 6.207 * * [simplify]: Extracting #3: cost 9 inf + 0 6.207 * * [simplify]: Extracting #4: cost 18 inf + 1 6.207 * * [simplify]: Extracting #5: cost 17 inf + 128 6.208 * * [simplify]: Extracting #6: cost 6 inf + 868 6.208 * * [simplify]: Extracting #7: cost 0 inf + 1884 6.208 * [simplify]: Simplified to (cbrt (sqrt (- 1 (* (* v v) 3)))) 6.208 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) 6.208 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 6.209 * [simplify]: Simplifying (sqrt (cbrt (- 1 (* 3 (* v v))))) 6.209 * * [simplify]: iters left: 6 (8 enodes) 6.211 * * [simplify]: iters left: 5 (31 enodes) 6.219 * * [simplify]: iters left: 4 (51 enodes) 6.235 * * [simplify]: iters left: 3 (69 enodes) 6.257 * * [simplify]: Extracting #0: cost 1 inf + 0 6.257 * * [simplify]: Extracting #1: cost 3 inf + 0 6.257 * * [simplify]: Extracting #2: cost 5 inf + 0 6.257 * * [simplify]: Extracting #3: cost 9 inf + 0 6.257 * * [simplify]: Extracting #4: cost 18 inf + 1 6.257 * * [simplify]: Extracting #5: cost 17 inf + 128 6.257 * * [simplify]: Extracting #6: cost 6 inf + 868 6.258 * * [simplify]: Extracting #7: cost 0 inf + 1964 6.258 * [simplify]: Simplified to (sqrt (cbrt (- 1 (* (* v v) 3)))) 6.258 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) 6.258 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 6.259 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) 6.259 * * [simplify]: iters left: 6 (8 enodes) 6.261 * * [simplify]: iters left: 5 (31 enodes) 6.267 * * [simplify]: iters left: 4 (51 enodes) 6.277 * * [simplify]: iters left: 3 (69 enodes) 6.287 * * [simplify]: Extracting #0: cost 1 inf + 0 6.287 * * [simplify]: Extracting #1: cost 3 inf + 0 6.287 * * [simplify]: Extracting #2: cost 5 inf + 0 6.287 * * [simplify]: Extracting #3: cost 9 inf + 0 6.287 * * [simplify]: Extracting #4: cost 18 inf + 1 6.287 * * [simplify]: Extracting #5: cost 17 inf + 128 6.288 * * [simplify]: Extracting #6: cost 6 inf + 868 6.288 * * [simplify]: Extracting #7: cost 0 inf + 1804 6.288 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) 6.288 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) 6.289 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 6.289 * [simplify]: Simplifying (sqrt (- 1 (* 3 (* v v)))) 6.289 * * [simplify]: iters left: 6 (7 enodes) 6.291 * * [simplify]: iters left: 5 (28 enodes) 6.297 * * [simplify]: iters left: 4 (48 enodes) 6.305 * * [simplify]: iters left: 3 (66 enodes) 6.322 * * [simplify]: Extracting #0: cost 1 inf + 0 6.322 * * [simplify]: Extracting #1: cost 3 inf + 0 6.322 * * [simplify]: Extracting #2: cost 7 inf + 0 6.322 * * [simplify]: Extracting #3: cost 16 inf + 1 6.322 * * [simplify]: Extracting #4: cost 13 inf + 331 6.323 * * [simplify]: Extracting #5: cost 4 inf + 907 6.324 * * [simplify]: Extracting #6: cost 0 inf + 1398 6.324 * [simplify]: Simplified to (sqrt (- 1 (* (* v v) 3))) 6.325 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) 6.325 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 6.325 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) 6.325 * * [simplify]: iters left: 6 (8 enodes) 6.330 * * [simplify]: iters left: 5 (31 enodes) 6.341 * * [simplify]: iters left: 4 (51 enodes) 6.359 * * [simplify]: iters left: 3 (69 enodes) 6.380 * * [simplify]: Extracting #0: cost 1 inf + 0 6.380 * * [simplify]: Extracting #1: cost 3 inf + 0 6.380 * * [simplify]: Extracting #2: cost 5 inf + 0 6.380 * * [simplify]: Extracting #3: cost 9 inf + 0 6.380 * * [simplify]: Extracting #4: cost 18 inf + 1 6.381 * * [simplify]: Extracting #5: cost 17 inf + 128 6.381 * * [simplify]: Extracting #6: cost 6 inf + 868 6.382 * * [simplify]: Extracting #7: cost 0 inf + 1804 6.383 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) 6.383 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) 6.383 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 6.383 * [simplify]: Simplifying (sqrt (- 1 (* 3 (* v v)))) 6.384 * * [simplify]: iters left: 6 (7 enodes) 6.388 * * [simplify]: iters left: 5 (28 enodes) 6.395 * * [simplify]: iters left: 4 (48 enodes) 6.403 * * [simplify]: iters left: 3 (66 enodes) 6.413 * * [simplify]: Extracting #0: cost 1 inf + 0 6.413 * * [simplify]: Extracting #1: cost 3 inf + 0 6.413 * * [simplify]: Extracting #2: cost 7 inf + 0 6.413 * * [simplify]: Extracting #3: cost 16 inf + 1 6.413 * * [simplify]: Extracting #4: cost 13 inf + 331 6.413 * * [simplify]: Extracting #5: cost 4 inf + 907 6.414 * * [simplify]: Extracting #6: cost 0 inf + 1398 6.414 * [simplify]: Simplified to (sqrt (- 1 (* (* v v) 3))) 6.414 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) 6.414 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 6.414 * [simplify]: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) 6.414 * * [simplify]: iters left: 6 (6 enodes) 6.416 * * [simplify]: iters left: 5 (18 enodes) 6.419 * * [simplify]: Extracting #0: cost 1 inf + 0 6.419 * * [simplify]: Extracting #1: cost 3 inf + 0 6.419 * * [simplify]: Extracting #2: cost 5 inf + 0 6.419 * * [simplify]: Extracting #3: cost 8 inf + 0 6.419 * * [simplify]: Extracting #4: cost 9 inf + 1 6.419 * * [simplify]: Extracting #5: cost 8 inf + 2 6.420 * * [simplify]: Extracting #6: cost 0 inf + 976 6.420 * [simplify]: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) 6.420 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.420 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 6.420 * [simplify]: Simplifying (sqrt (/ (sqrt 2) 4)) 6.420 * * [simplify]: iters left: 4 (5 enodes) 6.422 * * [simplify]: iters left: 3 (15 enodes) 6.426 * * [simplify]: Extracting #0: cost 1 inf + 0 6.426 * * [simplify]: Extracting #1: cost 3 inf + 0 6.426 * * [simplify]: Extracting #2: cost 6 inf + 0 6.426 * * [simplify]: Extracting #3: cost 7 inf + 1 6.426 * * [simplify]: Extracting #4: cost 6 inf + 2 6.426 * * [simplify]: Extracting #5: cost 0 inf + 492 6.426 * [simplify]: Simplified to (sqrt (/ (sqrt 2) 4)) 6.426 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.427 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 6.427 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt 4) (cbrt 4))) 6.427 * * [simplify]: iters left: 6 (8 enodes) 6.432 * * [simplify]: iters left: 5 (30 enodes) 6.443 * * [simplify]: iters left: 4 (45 enodes) 6.455 * * [simplify]: iters left: 3 (52 enodes) 6.463 * * [simplify]: iters left: 2 (55 enodes) 6.473 * * [simplify]: Extracting #0: cost 1 inf + 0 6.473 * * [simplify]: Extracting #1: cost 11 inf + 0 6.473 * * [simplify]: Extracting #2: cost 22 inf + 0 6.473 * * [simplify]: Extracting #3: cost 22 inf + 82 6.473 * * [simplify]: Extracting #4: cost 17 inf + 447 6.473 * * [simplify]: Extracting #5: cost 5 inf + 3107 6.474 * * [simplify]: Extracting #6: cost 0 inf + 4276 6.474 * [simplify]: Simplified to (* (/ (cbrt (sqrt 2)) (cbrt 4)) (/ (cbrt (sqrt 2)) (cbrt 4))) 6.474 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (/ (cbrt (sqrt 2)) (cbrt 4)) (/ (cbrt (sqrt 2)) (cbrt 4))) (* (/ (cbrt (sqrt 2)) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.475 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 6.475 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 4)) 6.475 * * [simplify]: iters left: 6 (7 enodes) 6.477 * * [simplify]: iters left: 5 (23 enodes) 6.481 * * [simplify]: iters left: 4 (29 enodes) 6.486 * * [simplify]: iters left: 3 (34 enodes) 6.491 * * [simplify]: Extracting #0: cost 1 inf + 0 6.492 * * [simplify]: Extracting #1: cost 8 inf + 0 6.492 * * [simplify]: Extracting #2: cost 13 inf + 1 6.492 * * [simplify]: Extracting #3: cost 13 inf + 42 6.492 * * [simplify]: Extracting #4: cost 3 inf + 1452 6.493 * * [simplify]: Extracting #5: cost 1 inf + 1814 6.493 * * [simplify]: Extracting #6: cost 0 inf + 2015 6.494 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (/ 2 (cbrt (sqrt 2)))) 6.494 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (cbrt (sqrt 2)) (/ 2 (cbrt (sqrt 2)))) (* (/ (cbrt (sqrt 2)) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.494 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 6.494 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) 6.494 * * [simplify]: iters left: 6 (6 enodes) 6.497 * * [simplify]: iters left: 5 (20 enodes) 6.501 * * [simplify]: iters left: 4 (30 enodes) 6.506 * * [simplify]: iters left: 3 (31 enodes) 6.511 * * [simplify]: Extracting #0: cost 1 inf + 0 6.511 * * [simplify]: Extracting #1: cost 5 inf + 0 6.511 * * [simplify]: Extracting #2: cost 7 inf + 1 6.511 * * [simplify]: Extracting #3: cost 9 inf + 1 6.511 * * [simplify]: Extracting #4: cost 8 inf + 2 6.511 * * [simplify]: Extracting #5: cost 0 inf + 972 6.512 * [simplify]: Simplified to (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 6.512 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.512 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 6.512 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt 4) (cbrt 4))) 6.512 * * [simplify]: iters left: 6 (8 enodes) 6.515 * * [simplify]: iters left: 5 (27 enodes) 6.520 * * [simplify]: iters left: 4 (29 enodes) 6.526 * * [simplify]: Extracting #0: cost 1 inf + 0 6.526 * * [simplify]: Extracting #1: cost 6 inf + 0 6.526 * * [simplify]: Extracting #2: cost 13 inf + 0 6.527 * * [simplify]: Extracting #3: cost 14 inf + 82 6.527 * * [simplify]: Extracting #4: cost 11 inf + 285 6.527 * * [simplify]: Extracting #5: cost 4 inf + 1334 6.527 * * [simplify]: Extracting #6: cost 0 inf + 2100 6.528 * [simplify]: Simplified to (/ (fabs (cbrt 2)) (* (cbrt 4) (cbrt 4))) 6.528 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt 2)) (* (cbrt 4) (cbrt 4))) (* (/ (sqrt (cbrt 2)) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.528 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 6.528 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt 4)) 6.529 * * [simplify]: iters left: 6 (7 enodes) 6.533 * * [simplify]: iters left: 5 (22 enodes) 6.541 * * [simplify]: Extracting #0: cost 1 inf + 0 6.541 * * [simplify]: Extracting #1: cost 4 inf + 0 6.541 * * [simplify]: Extracting #2: cost 6 inf + 1 6.541 * * [simplify]: Extracting #3: cost 3 inf + 606 6.541 * * [simplify]: Extracting #4: cost 0 inf + 969 6.542 * [simplify]: Simplified to (/ (fabs (cbrt 2)) 2) 6.542 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (fabs (cbrt 2)) 2) (* (/ (sqrt (cbrt 2)) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.542 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 6.542 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) 1) 6.542 * * [simplify]: iters left: 6 (6 enodes) 6.546 * * [simplify]: iters left: 5 (19 enodes) 6.553 * * [simplify]: iters left: 4 (23 enodes) 6.560 * * [simplify]: Extracting #0: cost 1 inf + 0 6.561 * * [simplify]: Extracting #1: cost 5 inf + 0 6.561 * * [simplify]: Extracting #2: cost 7 inf + 1 6.561 * * [simplify]: Extracting #3: cost 6 inf + 2 6.561 * * [simplify]: Extracting #4: cost 0 inf + 648 6.562 * [simplify]: Simplified to (fabs (cbrt 2)) 6.562 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt 2)) (* (/ (sqrt (cbrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.562 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 6.562 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) 6.562 * * [simplify]: iters left: 5 (7 enodes) 6.567 * * [simplify]: iters left: 4 (23 enodes) 6.576 * * [simplify]: iters left: 3 (25 enodes) 6.587 * * [simplify]: Extracting #0: cost 1 inf + 0 6.587 * * [simplify]: Extracting #1: cost 6 inf + 0 6.587 * * [simplify]: Extracting #2: cost 12 inf + 0 6.587 * * [simplify]: Extracting #3: cost 13 inf + 1 6.587 * * [simplify]: Extracting #4: cost 9 inf + 285 6.587 * * [simplify]: Extracting #5: cost 6 inf + 488 6.588 * * [simplify]: Extracting #6: cost 2 inf + 1094 6.588 * * [simplify]: Extracting #7: cost 0 inf + 1538 6.588 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) 6.589 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) (* (/ (sqrt (sqrt 2)) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.589 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 6.589 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt 4)) 6.589 * * [simplify]: iters left: 4 (6 enodes) 6.595 * * [simplify]: iters left: 3 (18 enodes) 6.600 * * [simplify]: Extracting #0: cost 1 inf + 0 6.600 * * [simplify]: Extracting #1: cost 4 inf + 0 6.600 * * [simplify]: Extracting #2: cost 5 inf + 1 6.600 * * [simplify]: Extracting #3: cost 1 inf + 446 6.600 * * [simplify]: Extracting #4: cost 0 inf + 487 6.601 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) 2) 6.601 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt 2)) 2) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.601 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 6.601 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 6.601 * * [simplify]: iters left: 4 (5 enodes) 6.603 * * [simplify]: iters left: 3 (15 enodes) 6.606 * * [simplify]: iters left: 2 (17 enodes) 6.609 * * [simplify]: Extracting #0: cost 1 inf + 0 6.609 * * [simplify]: Extracting #1: cost 4 inf + 0 6.609 * * [simplify]: Extracting #2: cost 5 inf + 1 6.609 * * [simplify]: Extracting #3: cost 4 inf + 2 6.609 * * [simplify]: Extracting #4: cost 1 inf + 165 6.609 * * [simplify]: Extracting #5: cost 0 inf + 246 6.609 * [simplify]: Simplified to (sqrt (sqrt 2)) 6.609 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.610 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 6.610 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt 4) (cbrt 4))) 6.610 * * [simplify]: iters left: 5 (6 enodes) 6.613 * * [simplify]: iters left: 4 (22 enodes) 6.617 * * [simplify]: iters left: 3 (29 enodes) 6.622 * * [simplify]: iters left: 2 (31 enodes) 6.627 * * [simplify]: Extracting #0: cost 1 inf + 0 6.627 * * [simplify]: Extracting #1: cost 7 inf + 0 6.627 * * [simplify]: Extracting #2: cost 11 inf + 1 6.627 * * [simplify]: Extracting #3: cost 10 inf + 2 6.627 * * [simplify]: Extracting #4: cost 2 inf + 935 6.627 * * [simplify]: Extracting #5: cost 0 inf + 1218 6.627 * [simplify]: Simplified to (/ 1 (* (cbrt 4) (cbrt 4))) 6.627 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (* (cbrt 4) (cbrt 4))) (* (/ (sqrt 2) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.628 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 6.628 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 4)) 6.628 * * [simplify]: iters left: 3 (5 enodes) 6.631 * * [simplify]: iters left: 2 (18 enodes) 6.638 * * [simplify]: iters left: 1 (21 enodes) 6.645 * * [simplify]: Extracting #0: cost 1 inf + 0 6.645 * * [simplify]: Extracting #1: cost 0 inf + 1 6.645 * [simplify]: Simplified to 1/2 6.645 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* 1/2 (* (/ (sqrt 2) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.645 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 6.645 * [simplify]: Simplifying (/ (sqrt 1) 1) 6.645 * * [simplify]: iters left: 3 (3 enodes) 6.649 * * [simplify]: iters left: 2 (9 enodes) 6.652 * * [simplify]: iters left: 1 (11 enodes) 6.654 * * [simplify]: Extracting #0: cost 1 inf + 0 6.654 * * [simplify]: Extracting #1: cost 0 inf + 1 6.654 * [simplify]: Simplified to 1 6.655 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.655 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 6.655 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) 6.655 * * [simplify]: iters left: 5 (7 enodes) 6.660 * * [simplify]: iters left: 4 (23 enodes) 6.669 * * [simplify]: iters left: 3 (25 enodes) 6.677 * * [simplify]: Extracting #0: cost 1 inf + 0 6.677 * * [simplify]: Extracting #1: cost 6 inf + 0 6.677 * * [simplify]: Extracting #2: cost 12 inf + 0 6.677 * * [simplify]: Extracting #3: cost 13 inf + 1 6.678 * * [simplify]: Extracting #4: cost 9 inf + 285 6.678 * * [simplify]: Extracting #5: cost 6 inf + 488 6.678 * * [simplify]: Extracting #6: cost 2 inf + 1094 6.678 * * [simplify]: Extracting #7: cost 0 inf + 1538 6.679 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) 6.679 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt 2)) (* (cbrt 4) (cbrt 4))) (* (/ (sqrt (sqrt 2)) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.679 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 6.679 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt 4)) 6.680 * * [simplify]: iters left: 4 (6 enodes) 6.685 * * [simplify]: iters left: 3 (18 enodes) 6.691 * * [simplify]: Extracting #0: cost 1 inf + 0 6.691 * * [simplify]: Extracting #1: cost 4 inf + 0 6.691 * * [simplify]: Extracting #2: cost 5 inf + 1 6.691 * * [simplify]: Extracting #3: cost 1 inf + 446 6.691 * * [simplify]: Extracting #4: cost 0 inf + 487 6.692 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) 2) 6.692 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ (sqrt (sqrt 2)) 2) (* (/ (sqrt (sqrt 2)) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.692 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 6.692 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 6.692 * * [simplify]: iters left: 4 (5 enodes) 6.696 * * [simplify]: iters left: 3 (15 enodes) 6.701 * * [simplify]: iters left: 2 (17 enodes) 6.707 * * [simplify]: Extracting #0: cost 1 inf + 0 6.707 * * [simplify]: Extracting #1: cost 4 inf + 0 6.707 * * [simplify]: Extracting #2: cost 5 inf + 1 6.707 * * [simplify]: Extracting #3: cost 4 inf + 2 6.707 * * [simplify]: Extracting #4: cost 1 inf + 165 6.707 * * [simplify]: Extracting #5: cost 0 inf + 246 6.707 * [simplify]: Simplified to (sqrt (sqrt 2)) 6.707 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.707 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 6.708 * [simplify]: Simplifying (/ 1 (* (cbrt 4) (cbrt 4))) 6.708 * * [simplify]: iters left: 5 (5 enodes) 6.711 * * [simplify]: iters left: 4 (19 enodes) 6.719 * * [simplify]: iters left: 3 (23 enodes) 6.730 * * [simplify]: Extracting #0: cost 1 inf + 0 6.730 * * [simplify]: Extracting #1: cost 6 inf + 0 6.730 * * [simplify]: Extracting #2: cost 9 inf + 1 6.730 * * [simplify]: Extracting #3: cost 1 inf + 852 6.730 * * [simplify]: Extracting #4: cost 0 inf + 974 6.731 * [simplify]: Simplified to (/ 1 (* (cbrt 4) (cbrt 4))) 6.731 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (/ 1 (* (cbrt 4) (cbrt 4))) (* (/ (sqrt 2) (cbrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.731 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 6.731 * [simplify]: Simplifying (/ 1 (sqrt 4)) 6.731 * * [simplify]: iters left: 3 (4 enodes) 6.735 * * [simplify]: iters left: 2 (16 enodes) 6.741 * * [simplify]: iters left: 1 (18 enodes) 6.746 * * [simplify]: Extracting #0: cost 1 inf + 0 6.746 * * [simplify]: Extracting #1: cost 0 inf + 1 6.746 * [simplify]: Simplified to 1/2 6.746 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* 1/2 (* (/ (sqrt 2) (sqrt 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.747 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 6.747 * [simplify]: Simplifying (/ 1 1) 6.747 * * [simplify]: iters left: 2 (2 enodes) 6.748 * * [simplify]: iters left: 1 (6 enodes) 6.750 * * [simplify]: Extracting #0: cost 1 inf + 0 6.750 * * [simplify]: Extracting #1: cost 0 inf + 1 6.750 * [simplify]: Simplified to 1 6.751 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.751 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 6.751 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 6.751 * [simplify]: Simplifying (sqrt 2) 6.751 * * [simplify]: iters left: 1 (2 enodes) 6.753 * * [simplify]: Extracting #0: cost 1 inf + 0 6.753 * * [simplify]: Extracting #1: cost 3 inf + 0 6.753 * * [simplify]: Extracting #2: cost 2 inf + 1 6.753 * * [simplify]: Extracting #3: cost 0 inf + 83 6.753 * [simplify]: Simplified to (sqrt 2) 6.753 * [simplify]: Simplified (2 1 1) to (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) 6.753 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 6.753 * [simplify]: Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) 6.753 * * [simplify]: iters left: 6 (11 enodes) 6.761 * * [simplify]: iters left: 5 (52 enodes) 6.782 * * [simplify]: iters left: 4 (136 enodes) 6.819 * * [simplify]: iters left: 3 (225 enodes) 6.907 * * [simplify]: iters left: 2 (308 enodes) 7.051 * * [simplify]: iters left: 1 (373 enodes) 7.171 * * [simplify]: Extracting #0: cost 1 inf + 0 7.171 * * [simplify]: Extracting #1: cost 3 inf + 0 7.171 * * [simplify]: Extracting #2: cost 10 inf + 0 7.171 * * [simplify]: Extracting #3: cost 38 inf + 1 7.171 * * [simplify]: Extracting #4: cost 72 inf + 413 7.172 * * [simplify]: Extracting #5: cost 38 inf + 5743 7.175 * * [simplify]: Extracting #6: cost 7 inf + 12323 7.177 * * [simplify]: Extracting #7: cost 0 inf + 13864 7.180 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v))))) 7.180 * [simplify]: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) 7.180 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 7.180 * [simplify]: Simplifying (sqrt (+ 1 (* 3 (* v v)))) 7.180 * * [simplify]: iters left: 6 (7 enodes) 7.183 * * [simplify]: iters left: 5 (27 enodes) 7.192 * * [simplify]: iters left: 4 (33 enodes) 7.201 * * [simplify]: Extracting #0: cost 1 inf + 0 7.202 * * [simplify]: Extracting #1: cost 3 inf + 0 7.202 * * [simplify]: Extracting #2: cost 6 inf + 0 7.202 * * [simplify]: Extracting #3: cost 10 inf + 1 7.202 * * [simplify]: Extracting #4: cost 8 inf + 86 7.202 * * [simplify]: Extracting #5: cost 4 inf + 374 7.202 * * [simplify]: Extracting #6: cost 1 inf + 742 7.203 * * [simplify]: Extracting #7: cost 0 inf + 905 7.203 * [simplify]: Simplified to (sqrt (+ 1 (* (* v v) 3))) 7.203 * [simplify]: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v)))) 7.203 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 7.204 * [simplify]: Simplifying (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) 7.204 * * [simplify]: iters left: 6 (10 enodes) 7.210 * * [simplify]: iters left: 5 (38 enodes) 7.223 * * [simplify]: iters left: 4 (58 enodes) 7.246 * * [simplify]: iters left: 3 (76 enodes) 7.258 * * [simplify]: Extracting #0: cost 1 inf + 0 7.259 * * [simplify]: Extracting #1: cost 4 inf + 0 7.259 * * [simplify]: Extracting #2: cost 8 inf + 0 7.259 * * [simplify]: Extracting #3: cost 11 inf + 1 7.259 * * [simplify]: Extracting #4: cost 18 inf + 84 7.259 * * [simplify]: Extracting #5: cost 18 inf + 169 7.259 * * [simplify]: Extracting #6: cost 2 inf + 1725 7.260 * * [simplify]: Extracting #7: cost 0 inf + 1969 7.260 * [simplify]: Simplified to (* (sqrt (+ (* -3 (* v v)) 1)) (sqrt 2)) 7.260 * [simplify]: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (+ (* -3 (* v v)) 1)) (sqrt 2)) 4) (- 1 (* v v)))) 7.260 * * * * [progress]: [ 88 / 145 ] simplifiying candidate #real (real->posit16 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))> 7.260 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 7.260 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 7.260 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 7.261 * * [simplify]: iters left: 6 (14 enodes) 7.265 * * [simplify]: iters left: 5 (57 enodes) 7.277 * * [simplify]: iters left: 4 (113 enodes) 7.315 * * [simplify]: iters left: 3 (238 enodes) 7.418 * * [simplify]: Extracting #0: cost 1 inf + 0 7.418 * * [simplify]: Extracting #1: cost 31 inf + 0 7.418 * * [simplify]: Extracting #2: cost 82 inf + 2 7.419 * * [simplify]: Extracting #3: cost 107 inf + 209 7.421 * * [simplify]: Extracting #4: cost 82 inf + 3474 7.423 * * [simplify]: Extracting #5: cost 63 inf + 6248 7.432 * * [simplify]: Extracting #6: cost 14 inf + 18680 7.444 * * [simplify]: Extracting #7: cost 0 inf + 22575 7.451 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 7.451 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 1)) 7.451 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 7.451 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 7.451 * * [simplify]: iters left: 6 (14 enodes) 7.458 * * [simplify]: iters left: 5 (57 enodes) 7.470 * * [simplify]: iters left: 4 (113 enodes) 7.503 * * [simplify]: iters left: 3 (238 enodes) 7.594 * * [simplify]: Extracting #0: cost 1 inf + 0 7.594 * * [simplify]: Extracting #1: cost 31 inf + 0 7.594 * * [simplify]: Extracting #2: cost 82 inf + 2 7.595 * * [simplify]: Extracting #3: cost 107 inf + 209 7.597 * * [simplify]: Extracting #4: cost 82 inf + 3474 7.600 * * [simplify]: Extracting #5: cost 63 inf + 6248 7.608 * * [simplify]: Extracting #6: cost 14 inf + 18680 7.621 * * [simplify]: Extracting #7: cost 0 inf + 22575 7.634 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 7.634 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 1)) 7.634 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 7.634 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 7.635 * [simplify]: Simplifying (+ (+ (- (log (sqrt 2)) (log 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) 7.635 * * [simplify]: iters left: 6 (18 enodes) 7.643 * * [simplify]: iters left: 5 (71 enodes) 7.655 * * [simplify]: iters left: 4 (125 enodes) 7.691 * * [simplify]: iters left: 3 (205 enodes) 7.734 * * [simplify]: iters left: 2 (279 enodes) 7.825 * * [simplify]: iters left: 1 (339 enodes) 7.921 * * [simplify]: Extracting #0: cost 1 inf + 0 7.921 * * [simplify]: Extracting #1: cost 34 inf + 0 7.921 * * [simplify]: Extracting #2: cost 70 inf + 0 7.922 * * [simplify]: Extracting #3: cost 75 inf + 143 7.922 * * [simplify]: Extracting #4: cost 78 inf + 297 7.922 * * [simplify]: Extracting #5: cost 74 inf + 1571 7.923 * * [simplify]: Extracting #6: cost 66 inf + 2467 7.925 * * [simplify]: Extracting #7: cost 31 inf + 12771 7.930 * * [simplify]: Extracting #8: cost 1 inf + 24787 7.936 * * [simplify]: Extracting #9: cost 0 inf + 25011 7.944 * [simplify]: Simplified to (+ (- (log (- 1 (* v v))) (log 4)) (+ (log (sqrt (- 1 (* (* v v) 3)))) (log (sqrt 2)))) 7.945 * [simplify]: Simplified (2 1) to (λ (v) (exp (+ (- (log (- 1 (* v v))) (log 4)) (+ (log (sqrt (- 1 (* (* v v) 3)))) (log (sqrt 2)))))) 7.945 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 7.945 * [simplify]: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) 7.945 * * [simplify]: iters left: 6 (17 enodes) 7.959 * * [simplify]: iters left: 5 (67 enodes) 7.974 * * [simplify]: iters left: 4 (111 enodes) 7.993 * * [simplify]: iters left: 3 (168 enodes) 8.037 * * [simplify]: iters left: 2 (233 enodes) 8.113 * * [simplify]: iters left: 1 (277 enodes) 8.191 * * [simplify]: Extracting #0: cost 1 inf + 0 8.191 * * [simplify]: Extracting #1: cost 25 inf + 0 8.191 * * [simplify]: Extracting #2: cost 53 inf + 0 8.191 * * [simplify]: Extracting #3: cost 58 inf + 254 8.192 * * [simplify]: Extracting #4: cost 61 inf + 408 8.192 * * [simplify]: Extracting #5: cost 59 inf + 1111 8.193 * * [simplify]: Extracting #6: cost 46 inf + 2516 8.194 * * [simplify]: Extracting #7: cost 29 inf + 5710 8.196 * * [simplify]: Extracting #8: cost 14 inf + 11755 8.200 * * [simplify]: Extracting #9: cost 2 inf + 16861 8.205 * * [simplify]: Extracting #10: cost 0 inf + 17629 8.209 * [simplify]: Simplified to (+ (log (/ (sqrt 2) 4)) (+ (log (- 1 (* v v))) (log (sqrt (- 1 (* (* v 3) v)))))) 8.209 * [simplify]: Simplified (2 1) to (λ (v) (exp (+ (log (/ (sqrt 2) 4)) (+ (log (- 1 (* v v))) (log (sqrt (- 1 (* (* v 3) v)))))))) 8.209 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 8.209 * [simplify]: Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) 8.209 * * [simplify]: iters left: 6 (16 enodes) 8.214 * * [simplify]: iters left: 5 (64 enodes) 8.227 * * [simplify]: iters left: 4 (108 enodes) 8.253 * * [simplify]: iters left: 3 (153 enodes) 8.287 * * [simplify]: iters left: 2 (205 enodes) 8.322 * * [simplify]: iters left: 1 (284 enodes) 8.375 * * [simplify]: Extracting #0: cost 1 inf + 0 8.376 * * [simplify]: Extracting #1: cost 36 inf + 0 8.376 * * [simplify]: Extracting #2: cost 67 inf + 0 8.376 * * [simplify]: Extracting #3: cost 75 inf + 254 8.377 * * [simplify]: Extracting #4: cost 78 inf + 408 8.377 * * [simplify]: Extracting #5: cost 76 inf + 1181 8.378 * * [simplify]: Extracting #6: cost 59 inf + 3437 8.381 * * [simplify]: Extracting #7: cost 18 inf + 15840 8.386 * * [simplify]: Extracting #8: cost 2 inf + 22077 8.392 * * [simplify]: Extracting #9: cost 0 inf + 22935 8.397 * * [simplify]: Extracting #10: cost 0 inf + 22865 8.403 * [simplify]: Simplified to (+ (log (- 1 (* v v))) (log (* (sqrt (+ 1 (* v (* v -3)))) (/ (sqrt 2) 4)))) 8.403 * [simplify]: Simplified (2 1) to (λ (v) (exp (+ (log (- 1 (* v v))) (log (* (sqrt (+ 1 (* v (* v -3)))) (/ (sqrt 2) 4)))))) 8.403 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 8.403 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 8.404 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 8.404 * [simplify]: Simplifying (* (* (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* 4 4) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) 8.404 * * [simplify]: iters left: 6 (22 enodes) 8.416 * * [simplify]: iters left: 5 (95 enodes) 8.459 * * [simplify]: iters left: 4 (258 enodes) 8.641 * * [simplify]: Extracting #0: cost 1 inf + 0 8.641 * * [simplify]: Extracting #1: cost 64 inf + 0 8.643 * * [simplify]: Extracting #2: cost 275 inf + 46 8.645 * * [simplify]: Extracting #3: cost 324 inf + 3376 8.651 * * [simplify]: Extracting #4: cost 196 inf + 33516 8.667 * * [simplify]: Extracting #5: cost 47 inf + 79469 8.717 * * [simplify]: Extracting #6: cost 0 inf + 96831 8.765 * * [simplify]: Extracting #7: cost 0 inf + 96828 8.804 * [simplify]: Simplified to (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (* (- 1 (* (* v v) 3)) 1/32) (sqrt 2))))) 8.804 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (* (- 1 (* (* v v) 3)) 1/32) (sqrt 2))))))) 8.804 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 8.804 * [simplify]: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) 8.805 * * [simplify]: iters left: 6 (20 enodes) 8.811 * * [simplify]: iters left: 5 (86 enodes) 8.831 * * [simplify]: iters left: 4 (251 enodes) 8.951 * * [simplify]: Extracting #0: cost 1 inf + 0 8.951 * * [simplify]: Extracting #1: cost 54 inf + 0 8.952 * * [simplify]: Extracting #2: cost 261 inf + 1 8.954 * * [simplify]: Extracting #3: cost 304 inf + 4269 8.961 * * [simplify]: Extracting #4: cost 184 inf + 34762 8.989 * * [simplify]: Extracting #5: cost 16 inf + 91617 9.017 * * [simplify]: Extracting #6: cost 0 inf + 96882 9.048 * [simplify]: Simplified to (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* v v) 3)))) (* (/ (* 1/2 (sqrt 2)) 16) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))) 9.048 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (* (* (- 1 (* (* v v) 3)) (sqrt (- 1 (* (* v v) 3)))) (* (/ (* 1/2 (sqrt 2)) 16) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))))) 9.048 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 9.049 * [simplify]: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) 9.049 * * [simplify]: iters left: 6 (18 enodes) 9.055 * * [simplify]: iters left: 5 (82 enodes) 9.082 * * [simplify]: iters left: 4 (224 enodes) 9.213 * * [simplify]: Extracting #0: cost 1 inf + 0 9.214 * * [simplify]: Extracting #1: cost 47 inf + 0 9.215 * * [simplify]: Extracting #2: cost 240 inf + 1 9.217 * * [simplify]: Extracting #3: cost 282 inf + 412 9.224 * * [simplify]: Extracting #4: cost 207 inf + 20096 9.247 * * [simplify]: Extracting #5: cost 38 inf + 82642 9.284 * * [simplify]: Extracting #6: cost 0 inf + 97068 9.333 * * [simplify]: Extracting #7: cost 0 inf + 97028 9.381 * [simplify]: Simplified to (* (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 9.382 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (* (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))))) 9.382 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 9.382 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 9.382 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 9.382 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 9.383 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) 9.383 * * [simplify]: iters left: 6 (15 enodes) 9.396 * * [simplify]: iters left: 5 (75 enodes) 9.429 * * [simplify]: iters left: 4 (205 enodes) 9.516 * * [simplify]: Extracting #0: cost 1 inf + 0 9.517 * * [simplify]: Extracting #1: cost 11 inf + 0 9.517 * * [simplify]: Extracting #2: cost 54 inf + 0 9.517 * * [simplify]: Extracting #3: cost 111 inf + 43 9.518 * * [simplify]: Extracting #4: cost 165 inf + 375 9.519 * * [simplify]: Extracting #5: cost 152 inf + 7619 9.525 * * [simplify]: Extracting #6: cost 43 inf + 32057 9.540 * * [simplify]: Extracting #7: cost 0 inf + 47824 9.559 * * [simplify]: Extracting #8: cost 0 inf + 47784 9.577 * [simplify]: Simplified to (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) 9.577 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 9.578 * [simplify]: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 9.578 * * [simplify]: iters left: 6 (18 enodes) 9.587 * * [simplify]: iters left: 5 (88 enodes) 9.613 * * [simplify]: iters left: 4 (242 enodes) 9.720 * * [simplify]: Extracting #0: cost 1 inf + 0 9.720 * * [simplify]: Extracting #1: cost 24 inf + 0 9.720 * * [simplify]: Extracting #2: cost 62 inf + 2 9.721 * * [simplify]: Extracting #3: cost 80 inf + 413 9.723 * * [simplify]: Extracting #4: cost 81 inf + 2323 9.726 * * [simplify]: Extracting #5: cost 67 inf + 5654 9.737 * * [simplify]: Extracting #6: cost 9 inf + 20550 9.753 * * [simplify]: Extracting #7: cost 0 inf + 23784 9.769 * [simplify]: Simplified to (* (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)) 9.769 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 9.769 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 9.770 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) 9.770 * * [simplify]: iters left: 6 (16 enodes) 9.781 * * [simplify]: iters left: 5 (73 enodes) 9.811 * * [simplify]: iters left: 4 (185 enodes) 9.907 * * [simplify]: Extracting #0: cost 1 inf + 0 9.907 * * [simplify]: Extracting #1: cost 11 inf + 0 9.907 * * [simplify]: Extracting #2: cost 44 inf + 0 9.907 * * [simplify]: Extracting #3: cost 64 inf + 167 9.908 * * [simplify]: Extracting #4: cost 108 inf + 2628 9.909 * * [simplify]: Extracting #5: cost 123 inf + 6324 9.915 * * [simplify]: Extracting #6: cost 18 inf + 28288 9.923 * * [simplify]: Extracting #7: cost 4 inf + 32109 9.931 * * [simplify]: Extracting #8: cost 0 inf + 33903 9.939 * [simplify]: Simplified to (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))) 9.939 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 9.939 * [simplify]: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))) 9.939 * * [simplify]: iters left: 6 (15 enodes) 9.945 * * [simplify]: iters left: 5 (75 enodes) 9.983 * * [simplify]: iters left: 4 (197 enodes) 10.039 * * [simplify]: iters left: 3 (339 enodes) 10.153 * * [simplify]: iters left: 2 (461 enodes) 10.273 * * [simplify]: Extracting #0: cost 1 inf + 0 10.274 * * [simplify]: Extracting #1: cost 10 inf + 0 10.274 * * [simplify]: Extracting #2: cost 22 inf + 2 10.274 * * [simplify]: Extracting #3: cost 30 inf + 208 10.274 * * [simplify]: Extracting #4: cost 45 inf + 620 10.275 * * [simplify]: Extracting #5: cost 50 inf + 2086 10.278 * * [simplify]: Extracting #6: cost 15 inf + 9345 10.282 * * [simplify]: Extracting #7: cost 0 inf + 12353 10.286 * * [simplify]: Extracting #8: cost 0 inf + 12153 10.292 * [simplify]: Simplified to (* (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 1 (* v v))) 4) 10.292 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))) (* (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 1 (* v v))) 4))) 10.292 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 10.292 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) 10.292 * * [simplify]: iters left: 6 (16 enodes) 10.298 * * [simplify]: iters left: 5 (74 enodes) 10.315 * * [simplify]: iters left: 4 (185 enodes) 10.361 * * [simplify]: Extracting #0: cost 1 inf + 0 10.361 * * [simplify]: Extracting #1: cost 11 inf + 0 10.361 * * [simplify]: Extracting #2: cost 54 inf + 0 10.363 * * [simplify]: Extracting #3: cost 110 inf + 43 10.364 * * [simplify]: Extracting #4: cost 133 inf + 294 10.365 * * [simplify]: Extracting #5: cost 104 inf + 6243 10.370 * * [simplify]: Extracting #6: cost 11 inf + 30702 10.377 * * [simplify]: Extracting #7: cost 0 inf + 33610 10.383 * [simplify]: Simplified to (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) 10.383 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 10.384 * [simplify]: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 10.384 * * [simplify]: iters left: 6 (15 enodes) 10.389 * * [simplify]: iters left: 5 (63 enodes) 10.402 * * [simplify]: iters left: 4 (151 enodes) 10.464 * * [simplify]: iters left: 3 (398 enodes) 10.604 * * [simplify]: Extracting #0: cost 1 inf + 0 10.604 * * [simplify]: Extracting #1: cost 26 inf + 0 10.604 * * [simplify]: Extracting #2: cost 80 inf + 2 10.605 * * [simplify]: Extracting #3: cost 122 inf + 496 10.607 * * [simplify]: Extracting #4: cost 53 inf + 11896 10.613 * * [simplify]: Extracting #5: cost 11 inf + 22266 10.621 * * [simplify]: Extracting #6: cost 0 inf + 25230 10.629 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 10.629 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 10.629 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 10.629 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) 10.629 * * [simplify]: iters left: 6 (15 enodes) 10.635 * * [simplify]: iters left: 5 (67 enodes) 10.660 * * [simplify]: iters left: 4 (150 enodes) 10.697 * * [simplify]: iters left: 3 (349 enodes) 10.857 * * [simplify]: Extracting #0: cost 1 inf + 0 10.857 * * [simplify]: Extracting #1: cost 19 inf + 0 10.857 * * [simplify]: Extracting #2: cost 76 inf + 1 10.858 * * [simplify]: Extracting #3: cost 125 inf + 247 10.861 * * [simplify]: Extracting #4: cost 97 inf + 7001 10.865 * * [simplify]: Extracting #5: cost 95 inf + 9635 10.879 * * [simplify]: Extracting #6: cost 26 inf + 25583 10.892 * * [simplify]: Extracting #7: cost 0 inf + 34252 10.903 * [simplify]: Simplified to (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) 10.903 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 10.903 * [simplify]: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))) 10.903 * * [simplify]: iters left: 6 (11 enodes) 10.907 * * [simplify]: iters left: 5 (50 enodes) 10.923 * * [simplify]: iters left: 4 (94 enodes) 10.962 * * [simplify]: iters left: 3 (157 enodes) 10.995 * * [simplify]: iters left: 2 (201 enodes) 11.026 * * [simplify]: iters left: 1 (202 enodes) 11.045 * * [simplify]: Extracting #0: cost 1 inf + 0 11.045 * * [simplify]: Extracting #1: cost 10 inf + 0 11.045 * * [simplify]: Extracting #2: cost 22 inf + 2 11.045 * * [simplify]: Extracting #3: cost 26 inf + 168 11.045 * * [simplify]: Extracting #4: cost 22 inf + 741 11.046 * * [simplify]: Extracting #5: cost 20 inf + 866 11.047 * * [simplify]: Extracting #6: cost 8 inf + 3062 11.048 * * [simplify]: Extracting #7: cost 0 inf + 5132 11.050 * [simplify]: Simplified to (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* v (* 3 v))))) 11.050 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* v (* 3 v))))))) 11.050 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 11.050 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) 11.050 * * [simplify]: iters left: 6 (17 enodes) 11.057 * * [simplify]: iters left: 5 (83 enodes) 11.078 * * [simplify]: iters left: 4 (225 enodes) 11.190 * * [simplify]: Extracting #0: cost 1 inf + 0 11.190 * * [simplify]: Extracting #1: cost 20 inf + 0 11.190 * * [simplify]: Extracting #2: cost 75 inf + 1 11.191 * * [simplify]: Extracting #3: cost 130 inf + 44 11.192 * * [simplify]: Extracting #4: cost 180 inf + 873 11.197 * * [simplify]: Extracting #5: cost 148 inf + 16480 11.217 * * [simplify]: Extracting #6: cost 17 inf + 51572 11.241 * * [simplify]: Extracting #7: cost 0 inf + 57687 11.270 * * [simplify]: Extracting #8: cost 0 inf + 57567 11.294 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v (* v v)))) v))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) 11.294 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v (* v v)))) v))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 11.295 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 11.295 * * [simplify]: iters left: 6 (16 enodes) 11.306 * * [simplify]: iters left: 5 (78 enodes) 11.339 * * [simplify]: iters left: 4 (200 enodes) 11.419 * * [simplify]: iters left: 3 (402 enodes) 11.596 * * [simplify]: Extracting #0: cost 1 inf + 0 11.596 * * [simplify]: Extracting #1: cost 10 inf + 0 11.597 * * [simplify]: Extracting #2: cost 32 inf + 1 11.597 * * [simplify]: Extracting #3: cost 50 inf + 43 11.598 * * [simplify]: Extracting #4: cost 53 inf + 1751 11.601 * * [simplify]: Extracting #5: cost 43 inf + 4201 11.608 * * [simplify]: Extracting #6: cost 11 inf + 11118 11.619 * * [simplify]: Extracting #7: cost 0 inf + 14154 11.628 * [simplify]: Simplified to (+ (* (* v v) (* (+ (* v v) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))) 11.628 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v (* v v)))) v))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (+ (* (* v v) (* (+ (* v v) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) 11.628 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 11.628 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) 11.629 * * [simplify]: iters left: 6 (18 enodes) 11.636 * * [simplify]: iters left: 5 (81 enodes) 11.654 * * [simplify]: iters left: 4 (205 enodes) 11.713 * * [simplify]: Extracting #0: cost 1 inf + 0 11.713 * * [simplify]: Extracting #1: cost 20 inf + 0 11.713 * * [simplify]: Extracting #2: cost 65 inf + 1 11.713 * * [simplify]: Extracting #3: cost 81 inf + 533 11.714 * * [simplify]: Extracting #4: cost 110 inf + 3945 11.716 * * [simplify]: Extracting #5: cost 126 inf + 8059 11.721 * * [simplify]: Extracting #6: cost 51 inf + 21800 11.729 * * [simplify]: Extracting #7: cost 5 inf + 37892 11.741 * * [simplify]: Extracting #8: cost 0 inf + 39477 11.757 * [simplify]: Simplified to (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4)) 11.757 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4)) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 11.758 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))) 11.758 * * [simplify]: iters left: 6 (13 enodes) 11.763 * * [simplify]: iters left: 5 (66 enodes) 11.781 * * [simplify]: iters left: 4 (160 enodes) 11.826 * * [simplify]: iters left: 3 (269 enodes) 11.907 * * [simplify]: iters left: 2 (352 enodes) 12.013 * * [simplify]: iters left: 1 (404 enodes) 12.086 * * [simplify]: Extracting #0: cost 1 inf + 0 12.086 * * [simplify]: Extracting #1: cost 6 inf + 0 12.086 * * [simplify]: Extracting #2: cost 12 inf + 1 12.086 * * [simplify]: Extracting #3: cost 19 inf + 2 12.086 * * [simplify]: Extracting #4: cost 43 inf + 166 12.087 * * [simplify]: Extracting #5: cost 67 inf + 1352 12.088 * * [simplify]: Extracting #6: cost 34 inf + 6577 12.091 * * [simplify]: Extracting #7: cost 6 inf + 13463 12.094 * * [simplify]: Extracting #8: cost 0 inf + 14719 12.097 * [simplify]: Simplified to (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ 1 (* v v))) 12.097 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4)) (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ 1 (* v v))))) 12.097 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 12.098 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) 12.098 * * [simplify]: iters left: 6 (18 enodes) 12.105 * * [simplify]: iters left: 5 (82 enodes) 12.132 * * [simplify]: iters left: 4 (205 enodes) 12.217 * * [simplify]: Extracting #0: cost 1 inf + 0 12.217 * * [simplify]: Extracting #1: cost 20 inf + 0 12.218 * * [simplify]: Extracting #2: cost 75 inf + 1 12.218 * * [simplify]: Extracting #3: cost 130 inf + 126 12.219 * * [simplify]: Extracting #4: cost 149 inf + 875 12.220 * * [simplify]: Extracting #5: cost 122 inf + 6856 12.227 * * [simplify]: Extracting #6: cost 30 inf + 33058 12.244 * * [simplify]: Extracting #7: cost 0 inf + 42922 12.261 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) 12.262 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 12.262 * [simplify]: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 12.262 * * [simplify]: iters left: 6 (13 enodes) 12.270 * * [simplify]: iters left: 5 (54 enodes) 12.291 * * [simplify]: iters left: 4 (106 enodes) 12.340 * * [simplify]: iters left: 3 (227 enodes) 12.417 * * [simplify]: iters left: 2 (322 enodes) 12.507 * * [simplify]: iters left: 1 (396 enodes) 12.634 * * [simplify]: Extracting #0: cost 1 inf + 0 12.634 * * [simplify]: Extracting #1: cost 10 inf + 0 12.635 * * [simplify]: Extracting #2: cost 37 inf + 1 12.635 * * [simplify]: Extracting #3: cost 71 inf + 43 12.636 * * [simplify]: Extracting #4: cost 57 inf + 1878 12.639 * * [simplify]: Extracting #5: cost 24 inf + 8618 12.644 * * [simplify]: Extracting #6: cost 1 inf + 16256 12.651 * * [simplify]: Extracting #7: cost 0 inf + 16459 12.657 * [simplify]: Simplified to (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) 12.657 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 12.657 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 12.657 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) 12.657 * * [simplify]: iters left: 6 (17 enodes) 12.663 * * [simplify]: iters left: 5 (75 enodes) 12.679 * * [simplify]: iters left: 4 (170 enodes) 12.725 * * [simplify]: iters left: 3 (410 enodes) 12.910 * * [simplify]: Extracting #0: cost 1 inf + 0 12.910 * * [simplify]: Extracting #1: cost 26 inf + 0 12.911 * * [simplify]: Extracting #2: cost 101 inf + 2 12.912 * * [simplify]: Extracting #3: cost 174 inf + 372 12.915 * * [simplify]: Extracting #4: cost 143 inf + 8290 12.924 * * [simplify]: Extracting #5: cost 92 inf + 23745 12.946 * * [simplify]: Extracting #6: cost 14 inf + 44413 12.976 * * [simplify]: Extracting #7: cost 0 inf + 49473 13.003 * [simplify]: Simplified to (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) 13.003 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 13.003 * [simplify]: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) 13.003 * * [simplify]: iters left: 6 (9 enodes) 13.006 * * [simplify]: iters left: 5 (41 enodes) 13.014 * * [simplify]: iters left: 4 (57 enodes) 13.023 * * [simplify]: iters left: 3 (82 enodes) 13.036 * * [simplify]: Extracting #0: cost 1 inf + 0 13.036 * * [simplify]: Extracting #1: cost 6 inf + 0 13.036 * * [simplify]: Extracting #2: cost 12 inf + 1 13.036 * * [simplify]: Extracting #3: cost 13 inf + 125 13.036 * * [simplify]: Extracting #4: cost 14 inf + 248 13.036 * * [simplify]: Extracting #5: cost 14 inf + 249 13.036 * * [simplify]: Extracting #6: cost 9 inf + 620 13.037 * * [simplify]: Extracting #7: cost 1 inf + 2164 13.037 * * [simplify]: Extracting #8: cost 0 inf + 2367 13.038 * [simplify]: Simplified to (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))) 13.038 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) 13.038 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 13.038 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) 13.039 * * [simplify]: iters left: 6 (14 enodes) 13.044 * * [simplify]: iters left: 5 (64 enodes) 13.057 * * [simplify]: iters left: 4 (148 enodes) 13.094 * * [simplify]: iters left: 3 (373 enodes) 13.296 * * [simplify]: Extracting #0: cost 1 inf + 0 13.297 * * [simplify]: Extracting #1: cost 18 inf + 0 13.297 * * [simplify]: Extracting #2: cost 146 inf + 1 13.300 * * [simplify]: Extracting #3: cost 319 inf + 451 13.309 * * [simplify]: Extracting #4: cost 246 inf + 17744 13.323 * * [simplify]: Extracting #5: cost 55 inf + 87186 13.344 * * [simplify]: Extracting #6: cost 1 inf + 108994 13.385 * * [simplify]: Extracting #7: cost 0 inf + 109246 13.425 * [simplify]: Simplified to (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) 13.425 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 13.425 * [simplify]: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 13.425 * * [simplify]: iters left: 6 (10 enodes) 13.435 * * [simplify]: iters left: 5 (41 enodes) 13.451 * * [simplify]: iters left: 4 (86 enodes) 13.486 * * [simplify]: iters left: 3 (182 enodes) 13.533 * * [simplify]: iters left: 2 (259 enodes) 13.608 * * [simplify]: iters left: 1 (333 enodes) 13.736 * * [simplify]: Extracting #0: cost 1 inf + 0 13.736 * * [simplify]: Extracting #1: cost 10 inf + 0 13.736 * * [simplify]: Extracting #2: cost 33 inf + 2 13.737 * * [simplify]: Extracting #3: cost 59 inf + 510 13.738 * * [simplify]: Extracting #4: cost 37 inf + 4616 13.745 * * [simplify]: Extracting #5: cost 10 inf + 8456 13.749 * * [simplify]: Extracting #6: cost 0 inf + 11224 13.753 * [simplify]: Simplified to (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) 13.753 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))) 13.753 * * * * [progress]: [ 113 / 145 ] simplifiying candidate # 13.754 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) 13.754 * * [simplify]: iters left: 6 (14 enodes) 13.763 * * [simplify]: iters left: 5 (57 enodes) 13.784 * * [simplify]: iters left: 4 (112 enodes) 13.808 * * [simplify]: iters left: 3 (224 enodes) 13.900 * * [simplify]: Extracting #0: cost 1 inf + 0 13.900 * * [simplify]: Extracting #1: cost 13 inf + 0 13.900 * * [simplify]: Extracting #2: cost 71 inf + 1 13.901 * * [simplify]: Extracting #3: cost 117 inf + 530 13.902 * * [simplify]: Extracting #4: cost 70 inf + 7412 13.907 * * [simplify]: Extracting #5: cost 13 inf + 22991 13.915 * * [simplify]: Extracting #6: cost 0 inf + 26244 13.924 * [simplify]: Simplified to (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (* v v) (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) 13.925 * [simplify]: Simplified (2 1) to (λ (v) (/ (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (* v v) (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) (* 4 (+ 1 (* v v))))) 13.925 * [simplify]: Simplifying (* 4 (+ 1 (* v v))) 13.925 * * [simplify]: iters left: 6 (6 enodes) 13.928 * * [simplify]: iters left: 5 (28 enodes) 13.933 * * [simplify]: iters left: 4 (40 enodes) 13.942 * * [simplify]: iters left: 3 (44 enodes) 13.951 * * [simplify]: Extracting #0: cost 1 inf + 0 13.951 * * [simplify]: Extracting #1: cost 5 inf + 0 13.951 * * [simplify]: Extracting #2: cost 10 inf + 1 13.951 * * [simplify]: Extracting #3: cost 3 inf + 578 13.952 * * [simplify]: Extracting #4: cost 0 inf + 741 13.952 * [simplify]: Simplified to (+ (* (* v v) 4) 4) 13.952 * [simplify]: Simplified (2 2) to (λ (v) (/ (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (* v v) (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) (+ (* (* v v) 4) 4))) 13.952 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 13.952 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 13.953 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) 13.953 * * [simplify]: iters left: 6 (14 enodes) 13.962 * * [simplify]: iters left: 5 (60 enodes) 13.985 * * [simplify]: iters left: 4 (126 enodes) 14.038 * * [simplify]: iters left: 3 (285 enodes) 14.115 * * [simplify]: Extracting #0: cost 1 inf + 0 14.115 * * [simplify]: Extracting #1: cost 48 inf + 0 14.116 * * [simplify]: Extracting #2: cost 95 inf + 166 14.116 * * [simplify]: Extracting #3: cost 84 inf + 1922 14.117 * * [simplify]: Extracting #4: cost 68 inf + 4932 14.119 * * [simplify]: Extracting #5: cost 61 inf + 5630 14.123 * * [simplify]: Extracting #6: cost 9 inf + 19353 14.129 * * [simplify]: Extracting #7: cost 0 inf + 22029 14.137 * [simplify]: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (- (/ (sqrt 2) (/ 4 (* v v))))) 14.138 * [simplify]: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (sqrt (- 1 (* v (* 3 v)))) (- (/ (sqrt 2) (/ 4 (* v v))))))) 14.138 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 14.138 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) 14.138 * * [simplify]: iters left: 6 (14 enodes) 14.143 * * [simplify]: iters left: 5 (60 enodes) 14.166 * * [simplify]: iters left: 4 (126 enodes) 14.218 * * [simplify]: iters left: 3 (285 enodes) 14.325 * * [simplify]: Extracting #0: cost 1 inf + 0 14.326 * * [simplify]: Extracting #1: cost 48 inf + 0 14.326 * * [simplify]: Extracting #2: cost 95 inf + 166 14.326 * * [simplify]: Extracting #3: cost 84 inf + 1922 14.328 * * [simplify]: Extracting #4: cost 68 inf + 4932 14.329 * * [simplify]: Extracting #5: cost 61 inf + 5630 14.333 * * [simplify]: Extracting #6: cost 9 inf + 19353 14.340 * * [simplify]: Extracting #7: cost 0 inf + 22029 14.355 * [simplify]: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (- (/ (sqrt 2) (/ 4 (* v v))))) 14.356 * [simplify]: Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (sqrt (- 1 (* v (* 3 v)))) (- (/ (sqrt 2) (/ 4 (* v v))))))) 14.356 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 14.356 * [simplify]: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 14.356 * * [simplify]: iters left: 6 (14 enodes) 14.366 * * [simplify]: iters left: 5 (60 enodes) 14.388 * * [simplify]: iters left: 4 (126 enodes) 14.439 * * [simplify]: iters left: 3 (284 enodes) 14.572 * * [simplify]: Extracting #0: cost 1 inf + 0 14.572 * * [simplify]: Extracting #1: cost 50 inf + 0 14.573 * * [simplify]: Extracting #2: cost 93 inf + 84 14.574 * * [simplify]: Extracting #3: cost 89 inf + 1270 14.576 * * [simplify]: Extracting #4: cost 68 inf + 4607 14.579 * * [simplify]: Extracting #5: cost 64 inf + 5017 14.585 * * [simplify]: Extracting #6: cost 17 inf + 16432 14.597 * * [simplify]: Extracting #7: cost 0 inf + 21345 14.609 * [simplify]: Simplified to (* (/ (sqrt 2) 4) (* (- (sqrt (- 1 (* 3 (* v v))))) (* v v))) 14.609 * [simplify]: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (* (- (sqrt (- 1 (* 3 (* v v))))) (* v v))))) 14.609 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 14.610 * [simplify]: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 14.610 * * [simplify]: iters left: 6 (14 enodes) 14.621 * * [simplify]: iters left: 5 (60 enodes) 14.633 * * [simplify]: iters left: 4 (126 enodes) 14.670 * * [simplify]: iters left: 3 (284 enodes) 14.764 * * [simplify]: Extracting #0: cost 1 inf + 0 14.764 * * [simplify]: Extracting #1: cost 50 inf + 0 14.764 * * [simplify]: Extracting #2: cost 93 inf + 84 14.765 * * [simplify]: Extracting #3: cost 89 inf + 1270 14.766 * * [simplify]: Extracting #4: cost 68 inf + 4607 14.767 * * [simplify]: Extracting #5: cost 64 inf + 5017 14.771 * * [simplify]: Extracting #6: cost 17 inf + 16432 14.782 * * [simplify]: Extracting #7: cost 0 inf + 21345 14.794 * [simplify]: Simplified to (* (/ (sqrt 2) 4) (* (- (sqrt (- 1 (* 3 (* v v))))) (* v v))) 14.794 * [simplify]: Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (* (- (sqrt (- 1 (* 3 (* v v))))) (* v v))))) 14.795 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 14.795 * [simplify]: Simplifying (cbrt (- 1 (* v v))) 14.795 * * [simplify]: iters left: 5 (5 enodes) 14.798 * * [simplify]: iters left: 4 (19 enodes) 14.804 * * [simplify]: iters left: 3 (27 enodes) 14.811 * * [simplify]: iters left: 2 (29 enodes) 14.815 * * [simplify]: Extracting #0: cost 1 inf + 0 14.815 * * [simplify]: Extracting #1: cost 3 inf + 0 14.815 * * [simplify]: Extracting #2: cost 7 inf + 0 14.816 * * [simplify]: Extracting #3: cost 10 inf + 1 14.816 * * [simplify]: Extracting #4: cost 1 inf + 775 14.816 * * [simplify]: Extracting #5: cost 0 inf + 816 14.816 * [simplify]: Simplified to (cbrt (- 1 (* v v))) 14.816 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v))))) 14.816 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 14.816 * [simplify]: Simplifying (sqrt (- 1 (* v v))) 14.816 * * [simplify]: iters left: 5 (5 enodes) 14.818 * * [simplify]: iters left: 4 (19 enodes) 14.821 * * [simplify]: iters left: 3 (27 enodes) 14.825 * * [simplify]: iters left: 2 (29 enodes) 14.830 * * [simplify]: Extracting #0: cost 1 inf + 0 14.830 * * [simplify]: Extracting #1: cost 3 inf + 0 14.830 * * [simplify]: Extracting #2: cost 7 inf + 0 14.830 * * [simplify]: Extracting #3: cost 10 inf + 1 14.830 * * [simplify]: Extracting #4: cost 1 inf + 695 14.831 * * [simplify]: Extracting #5: cost 0 inf + 736 14.831 * [simplify]: Simplified to (sqrt (- 1 (* v v))) 14.831 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) 14.831 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 14.831 * [simplify]: Simplifying (- 1 (* v v)) 14.831 * * [simplify]: iters left: 4 (4 enodes) 14.834 * * [simplify]: iters left: 3 (16 enodes) 14.840 * * [simplify]: iters left: 2 (24 enodes) 14.847 * * [simplify]: iters left: 1 (26 enodes) 14.854 * * [simplify]: Extracting #0: cost 1 inf + 0 14.854 * * [simplify]: Extracting #1: cost 5 inf + 0 14.854 * * [simplify]: Extracting #2: cost 8 inf + 1 14.855 * * [simplify]: Extracting #3: cost 2 inf + 370 14.855 * * [simplify]: Extracting #4: cost 0 inf + 492 14.855 * [simplify]: Simplified to (- 1 (* v v)) 14.855 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v)))) 14.855 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 14.856 * [simplify]: Simplifying (- (sqrt 1) v) 14.856 * * [simplify]: iters left: 3 (4 enodes) 14.859 * * [simplify]: iters left: 2 (16 enodes) 14.863 * * [simplify]: iters left: 1 (22 enodes) 14.869 * * [simplify]: Extracting #0: cost 1 inf + 0 14.869 * * [simplify]: Extracting #1: cost 5 inf + 0 14.869 * * [simplify]: Extracting #2: cost 3 inf + 43 14.870 * * [simplify]: Extracting #3: cost 0 inf + 168 14.870 * [simplify]: Simplified to (- 1 v) 14.870 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ (sqrt 1) v)) (- 1 v))) 14.870 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 14.870 * [simplify]: Simplifying (- 1 v) 14.870 * * [simplify]: iters left: 2 (3 enodes) 14.872 * * [simplify]: iters left: 1 (13 enodes) 14.876 * * [simplify]: Extracting #0: cost 1 inf + 0 14.876 * * [simplify]: Extracting #1: cost 5 inf + 0 14.877 * * [simplify]: Extracting #2: cost 3 inf + 43 14.877 * * [simplify]: Extracting #3: cost 0 inf + 168 14.877 * [simplify]: Simplified to (- 1 v) 14.877 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1 v)) (- 1 v))) 14.877 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 14.877 * [simplify]: Simplifying (/ (sqrt 2) 4) 14.877 * * [simplify]: iters left: 3 (4 enodes) 14.880 * * [simplify]: iters left: 2 (12 enodes) 14.885 * * [simplify]: Extracting #0: cost 1 inf + 0 14.885 * * [simplify]: Extracting #1: cost 4 inf + 0 14.885 * * [simplify]: Extracting #2: cost 5 inf + 1 14.885 * * [simplify]: Extracting #3: cost 4 inf + 2 14.885 * * [simplify]: Extracting #4: cost 0 inf + 248 14.886 * [simplify]: Simplified to (/ (sqrt 2) 4) 14.886 * [simplify]: Simplified (2 1) to (λ (v) (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))))) 14.886 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 14.886 * [simplify]: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 14.886 * * [simplify]: iters left: 6 (8 enodes) 14.891 * * [simplify]: iters left: 5 (28 enodes) 14.901 * * [simplify]: iters left: 4 (51 enodes) 14.921 * * [simplify]: iters left: 3 (90 enodes) 14.947 * * [simplify]: iters left: 2 (115 enodes) 14.966 * * [simplify]: iters left: 1 (143 enodes) 14.998 * * [simplify]: Extracting #0: cost 1 inf + 0 14.998 * * [simplify]: Extracting #1: cost 8 inf + 0 14.998 * * [simplify]: Extracting #2: cost 23 inf + 1 14.998 * * [simplify]: Extracting #3: cost 37 inf + 44 14.998 * * [simplify]: Extracting #4: cost 18 inf + 2766 14.999 * * [simplify]: Extracting #5: cost 3 inf + 5302 15.000 * * [simplify]: Extracting #6: cost 0 inf + 5889 15.001 * [simplify]: Simplified to (+ 1 (+ (* v v) (* (* v v) (* v v)))) 15.001 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 15.001 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 15.001 * [simplify]: Simplifying (+ 1 (* v v)) 15.002 * * [simplify]: iters left: 4 (4 enodes) 15.003 * * [simplify]: iters left: 3 (15 enodes) 15.005 * * [simplify]: iters left: 2 (17 enodes) 15.008 * * [simplify]: Extracting #0: cost 1 inf + 0 15.008 * * [simplify]: Extracting #1: cost 4 inf + 0 15.008 * * [simplify]: Extracting #2: cost 5 inf + 1 15.008 * * [simplify]: Extracting #3: cost 4 inf + 2 15.009 * * [simplify]: Extracting #4: cost 1 inf + 207 15.009 * * [simplify]: Extracting #5: cost 0 inf + 248 15.009 * [simplify]: Simplified to (+ 1 (* v v)) 15.009 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v)))) 15.009 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 15.009 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) 15.010 * * [simplify]: iters left: 6 (14 enodes) 15.018 * * [simplify]: iters left: 5 (66 enodes) 15.048 * * [simplify]: iters left: 4 (169 enodes) 15.109 * * [simplify]: Extracting #0: cost 1 inf + 0 15.110 * * [simplify]: Extracting #1: cost 9 inf + 0 15.110 * * [simplify]: Extracting #2: cost 34 inf + 0 15.110 * * [simplify]: Extracting #3: cost 42 inf + 126 15.111 * * [simplify]: Extracting #4: cost 95 inf + 656 15.112 * * [simplify]: Extracting #5: cost 128 inf + 2285 15.121 * * [simplify]: Extracting #6: cost 36 inf + 19957 15.132 * * [simplify]: Extracting #7: cost 4 inf + 26747 15.145 * * [simplify]: Extracting #8: cost 0 inf + 28497 15.160 * [simplify]: Simplified to (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v))))))) 15.161 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v))))))) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 15.161 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 15.161 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) 15.161 * * [simplify]: iters left: 6 (14 enodes) 15.170 * * [simplify]: iters left: 5 (61 enodes) 15.189 * * [simplify]: iters left: 4 (139 enodes) 15.221 * * [simplify]: iters left: 3 (311 enodes) 15.335 * * [simplify]: Extracting #0: cost 1 inf + 0 15.335 * * [simplify]: Extracting #1: cost 13 inf + 0 15.336 * * [simplify]: Extracting #2: cost 47 inf + 1 15.336 * * [simplify]: Extracting #3: cost 60 inf + 126 15.336 * * [simplify]: Extracting #4: cost 63 inf + 2571 15.338 * * [simplify]: Extracting #5: cost 64 inf + 4858 15.342 * * [simplify]: Extracting #6: cost 7 inf + 15324 15.350 * * [simplify]: Extracting #7: cost 0 inf + 16792 15.357 * [simplify]: Simplified to (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) 15.357 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 15.357 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 15.357 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) 15.357 * * [simplify]: iters left: 6 (16 enodes) 15.363 * * [simplify]: iters left: 5 (74 enodes) 15.380 * * [simplify]: iters left: 4 (189 enodes) 15.464 * * [simplify]: Extracting #0: cost 1 inf + 0 15.464 * * [simplify]: Extracting #1: cost 18 inf + 0 15.464 * * [simplify]: Extracting #2: cost 55 inf + 1 15.465 * * [simplify]: Extracting #3: cost 60 inf + 290 15.466 * * [simplify]: Extracting #4: cost 103 inf + 2205 15.468 * * [simplify]: Extracting #5: cost 134 inf + 3840 15.476 * * [simplify]: Extracting #6: cost 49 inf + 21797 15.491 * * [simplify]: Extracting #7: cost 2 inf + 33651 15.502 * * [simplify]: Extracting #8: cost 0 inf + 34237 15.510 * [simplify]: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (- 1 (* v v)))) 15.510 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (- 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 15.510 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 15.511 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) 15.511 * * [simplify]: iters left: 6 (16 enodes) 15.517 * * [simplify]: iters left: 5 (69 enodes) 15.542 * * [simplify]: iters left: 4 (159 enodes) 15.599 * * [simplify]: iters left: 3 (371 enodes) 15.742 * * [simplify]: Extracting #0: cost 1 inf + 0 15.742 * * [simplify]: Extracting #1: cost 26 inf + 0 15.743 * * [simplify]: Extracting #2: cost 77 inf + 2 15.743 * * [simplify]: Extracting #3: cost 101 inf + 86 15.745 * * [simplify]: Extracting #4: cost 96 inf + 3350 15.749 * * [simplify]: Extracting #5: cost 87 inf + 7307 15.760 * * [simplify]: Extracting #6: cost 21 inf + 20624 15.777 * * [simplify]: Extracting #7: cost 0 inf + 26548 15.795 * [simplify]: Simplified to (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) 15.795 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (+ 1 (* 3 (* v v)))))) 15.796 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 15.796 * [simplify]: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 15.796 * * [simplify]: iters left: 6 (12 enodes) 15.803 * * [simplify]: iters left: 5 (49 enodes) 15.821 * * [simplify]: iters left: 4 (93 enodes) 15.842 * * [simplify]: iters left: 3 (168 enodes) 15.890 * * [simplify]: iters left: 2 (322 enodes) 15.993 * * [simplify]: iters left: 1 (441 enodes) 16.100 * * [simplify]: Extracting #0: cost 1 inf + 0 16.100 * * [simplify]: Extracting #1: cost 11 inf + 0 16.100 * * [simplify]: Extracting #2: cost 38 inf + 1 16.100 * * [simplify]: Extracting #3: cost 49 inf + 371 16.101 * * [simplify]: Extracting #4: cost 42 inf + 1633 16.102 * * [simplify]: Extracting #5: cost 30 inf + 2981 16.104 * * [simplify]: Extracting #6: cost 5 inf + 8703 16.108 * * [simplify]: Extracting #7: cost 0 inf + 9920 16.112 * [simplify]: Simplified to (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))) 16.112 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))) 4)) 16.112 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))> 16.112 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 16.112 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 16.112 * [simplify]: Simplifying (* 3 (pow v 2)) 16.112 * * [simplify]: iters left: 3 (5 enodes) 16.115 * * [simplify]: iters left: 2 (21 enodes) 16.118 * * [simplify]: iters left: 1 (29 enodes) 16.124 * * [simplify]: Extracting #0: cost 1 inf + 0 16.124 * * [simplify]: Extracting #1: cost 6 inf + 0 16.124 * * [simplify]: Extracting #2: cost 6 inf + 43 16.124 * * [simplify]: Extracting #3: cost 0 inf + 333 16.124 * [simplify]: Simplified to (* (* v v) 3) 16.124 * [simplify]: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) 16.124 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 16.124 * [simplify]: Simplifying (* 3 (pow v 2)) 16.124 * * [simplify]: iters left: 3 (5 enodes) 16.126 * * [simplify]: iters left: 2 (21 enodes) 16.130 * * [simplify]: iters left: 1 (29 enodes) 16.135 * * [simplify]: Extracting #0: cost 1 inf + 0 16.135 * * [simplify]: Extracting #1: cost 6 inf + 0 16.135 * * [simplify]: Extracting #2: cost 6 inf + 43 16.135 * * [simplify]: Extracting #3: cost 0 inf + 333 16.135 * [simplify]: Simplified to (* (* v v) 3) 16.135 * [simplify]: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) 16.135 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 16.136 * [simplify]: Simplifying (* 3 (pow v 2)) 16.136 * * [simplify]: iters left: 3 (5 enodes) 16.138 * * [simplify]: iters left: 2 (21 enodes) 16.141 * * [simplify]: iters left: 1 (29 enodes) 16.146 * * [simplify]: Extracting #0: cost 1 inf + 0 16.147 * * [simplify]: Extracting #1: cost 6 inf + 0 16.147 * * [simplify]: Extracting #2: cost 6 inf + 43 16.147 * * [simplify]: Extracting #3: cost 0 inf + 333 16.147 * [simplify]: Simplified to (* (* v v) 3) 16.147 * [simplify]: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) 16.147 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 16.147 * [simplify]: Simplifying (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2)))) 16.147 * * [simplify]: iters left: 6 (12 enodes) 16.157 * * [simplify]: iters left: 5 (52 enodes) 16.174 * * [simplify]: iters left: 4 (73 enodes) 16.202 * * [simplify]: iters left: 3 (117 enodes) 16.239 * * [simplify]: iters left: 2 (156 enodes) 16.274 * * [simplify]: iters left: 1 (207 enodes) 16.319 * * [simplify]: Extracting #0: cost 1 inf + 0 16.320 * * [simplify]: Extracting #1: cost 18 inf + 0 16.320 * * [simplify]: Extracting #2: cost 39 inf + 2 16.320 * * [simplify]: Extracting #3: cost 43 inf + 213 16.321 * * [simplify]: Extracting #4: cost 14 inf + 3555 16.322 * * [simplify]: Extracting #5: cost 0 inf + 5789 16.324 * [simplify]: Simplified to (- (* (* (* v v) (* v v)) -9/8) (- (* 3/2 (* v v)) 1)) 16.324 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- (* (* (* v v) (* v v)) -9/8) (- (* 3/2 (* v v)) 1))) (- 1 (* v v)))) 16.324 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 16.324 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) 16.324 * * [simplify]: iters left: 6 (17 enodes) 16.331 * * [simplify]: iters left: 5 (83 enodes) 16.362 * * [simplify]: iters left: 4 (179 enodes) 16.417 * * [simplify]: iters left: 3 (426 enodes) 16.598 * * [simplify]: Extracting #0: cost 1 inf + 0 16.599 * * [simplify]: Extracting #1: cost 10 inf + 0 16.599 * * [simplify]: Extracting #2: cost 120 inf + 0 16.600 * * [simplify]: Extracting #3: cost 261 inf + 1073 16.602 * * [simplify]: Extracting #4: cost 248 inf + 10182 16.617 * * [simplify]: Extracting #5: cost 93 inf + 55399 16.637 * * [simplify]: Extracting #6: cost 13 inf + 92512 16.650 * * [simplify]: Extracting #7: cost 0 inf + 99051 16.662 * [simplify]: Simplified to (- (+ (* (sqrt -3) v) (/ (/ 1/2 (sqrt -3)) v)) (/ (/ (/ -1/24 (sqrt -3)) v) (* v v))) 16.662 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- (+ (* (sqrt -3) v) (/ (/ 1/2 (sqrt -3)) v)) (/ (/ (/ -1/24 (sqrt -3)) v) (* v v)))) (- 1 (* v v)))) 16.662 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 16.662 * [simplify]: Simplifying (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) 16.662 * * [simplify]: iters left: 6 (17 enodes) 16.674 * * [simplify]: iters left: 5 (83 enodes) 16.705 * * [simplify]: iters left: 4 (171 enodes) 16.760 * * [simplify]: iters left: 3 (416 enodes) 16.929 * * [simplify]: Extracting #0: cost 1 inf + 0 16.929 * * [simplify]: Extracting #1: cost 15 inf + 0 16.930 * * [simplify]: Extracting #2: cost 124 inf + 0 16.932 * * [simplify]: Extracting #3: cost 256 inf + 783 16.937 * * [simplify]: Extracting #4: cost 231 inf + 11396 16.950 * * [simplify]: Extracting #5: cost 87 inf + 55501 16.972 * * [simplify]: Extracting #6: cost 6 inf + 89983 16.995 * * [simplify]: Extracting #7: cost 0 inf + 92531 17.017 * [simplify]: Simplified to (- (/ -1/2 (* (sqrt -3) v)) (- (* (sqrt -3) v) (/ (/ -1/24 (sqrt -3)) (* v (* v v))))) 17.017 * [simplify]: Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- (/ -1/2 (* (sqrt -3) v)) (- (* (sqrt -3) v) (/ (/ -1/24 (sqrt -3)) (* v (* v v)))))) (- 1 (* v v)))) 17.017 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 17.017 * [simplify]: Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) 17.017 * * [simplify]: iters left: 6 (16 enodes) 17.027 * * [simplify]: iters left: 5 (70 enodes) 17.040 * * [simplify]: iters left: 4 (111 enodes) 17.074 * * [simplify]: iters left: 3 (226 enodes) 17.136 * * [simplify]: iters left: 2 (459 enodes) 17.371 * * [simplify]: Extracting #0: cost 1 inf + 0 17.371 * * [simplify]: Extracting #1: cost 23 inf + 0 17.372 * * [simplify]: Extracting #2: cost 137 inf + 0 17.374 * * [simplify]: Extracting #3: cost 200 inf + 579 17.379 * * [simplify]: Extracting #4: cost 113 inf + 13402 17.395 * * [simplify]: Extracting #5: cost 8 inf + 33517 17.412 * * [simplify]: Extracting #6: cost 0 inf + 32281 17.428 * * [simplify]: Extracting #7: cost 0 inf + 31601 17.445 * [simplify]: Simplified to (* (+ 1/4 (* (* v v) (- (* (* v v) -9/32) 3/8))) (sqrt 2)) 17.445 * [simplify]: Simplified (2 1) to (λ (v) (* (* (+ 1/4 (* (* v v) (- (* (* v v) -9/32) 3/8))) (sqrt 2)) (- 1 (* v v)))) 17.446 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 17.446 * [simplify]: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) 17.446 * * [simplify]: iters left: 6 (21 enodes) 17.454 * * [simplify]: iters left: 5 (98 enodes) 17.483 * * [simplify]: iters left: 4 (237 enodes) 17.582 * * [simplify]: Extracting #0: cost 1 inf + 0 17.582 * * [simplify]: Extracting #1: cost 10 inf + 0 17.582 * * [simplify]: Extracting #2: cost 134 inf + 0 17.584 * * [simplify]: Extracting #3: cost 222 inf + 417 17.589 * * [simplify]: Extracting #4: cost 137 inf + 12959 17.602 * * [simplify]: Extracting #5: cost 40 inf + 37829 17.618 * * [simplify]: Extracting #6: cost 7 inf + 50219 17.636 * * [simplify]: Extracting #7: cost 0 inf + 52861 17.644 * [simplify]: Simplified to (+ (- (* (* v (* (sqrt 2) (sqrt -3))) 1/4) (/ (* (/ -1/96 (sqrt -3)) (/ (sqrt 2) v)) (* v v))) (/ (* (sqrt 2) 1/8) (* v (sqrt -3)))) 17.644 * [simplify]: Simplified (2 1) to (λ (v) (* (+ (- (* (* v (* (sqrt 2) (sqrt -3))) 1/4) (/ (* (/ -1/96 (sqrt -3)) (/ (sqrt 2) v)) (* v v))) (/ (* (sqrt 2) 1/8) (* v (sqrt -3)))) (- 1 (* v v)))) 17.644 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 17.644 * [simplify]: Simplifying (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) 17.645 * * [simplify]: iters left: 6 (21 enodes) 17.653 * * [simplify]: iters left: 5 (98 enodes) 17.683 * * [simplify]: iters left: 4 (229 enodes) 17.782 * * [simplify]: Extracting #0: cost 1 inf + 0 17.782 * * [simplify]: Extracting #1: cost 13 inf + 0 17.783 * * [simplify]: Extracting #2: cost 141 inf + 0 17.784 * * [simplify]: Extracting #3: cost 224 inf + 337 17.791 * * [simplify]: Extracting #4: cost 128 inf + 13652 17.808 * * [simplify]: Extracting #5: cost 31 inf + 38579 17.825 * * [simplify]: Extracting #6: cost 2 inf + 50163 17.842 * * [simplify]: Extracting #7: cost 0 inf + 50627 17.858 * [simplify]: Simplified to (- (/ (* (/ -1/96 (sqrt -3)) (/ (/ (sqrt 2) v) v)) v) (- (* v (* (sqrt 2) (* 1/4 (sqrt -3)))) (* (/ (/ (sqrt 2) v) (sqrt -3)) -1/8))) 17.859 * [simplify]: Simplified (2 1) to (λ (v) (* (- (/ (* (/ -1/96 (sqrt -3)) (/ (/ (sqrt 2) v) v)) v) (- (* v (* (sqrt 2) (* 1/4 (sqrt -3)))) (* (/ (/ (sqrt 2) v) (sqrt -3)) -1/8))) (- 1 (* v v)))) 17.859 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 17.859 * [simplify]: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) 17.859 * * [simplify]: iters left: 6 (16 enodes) 17.871 * * [simplify]: iters left: 5 (70 enodes) 17.896 * * [simplify]: iters left: 4 (121 enodes) 17.941 * * [simplify]: iters left: 3 (226 enodes) 18.030 * * [simplify]: iters left: 2 (385 enodes) 18.171 * * [simplify]: Extracting #0: cost 1 inf + 0 18.171 * * [simplify]: Extracting #1: cost 29 inf + 0 18.171 * * [simplify]: Extracting #2: cost 103 inf + 0 18.174 * * [simplify]: Extracting #3: cost 134 inf + 460 18.176 * * [simplify]: Extracting #4: cost 60 inf + 10375 18.185 * * [simplify]: Extracting #5: cost 7 inf + 19572 18.196 * * [simplify]: Extracting #6: cost 0 inf + 20916 18.205 * [simplify]: Simplified to (* (+ 1/4 (* (* v v) (- (* 3/32 (* v v)) 5/8))) (sqrt 2)) 18.205 * [simplify]: Simplified (2) to (λ (v) (* (+ 1/4 (* (* v v) (- (* 3/32 (* v v)) 5/8))) (sqrt 2))) 18.205 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 18.205 * [simplify]: Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) 18.205 * * [simplify]: iters left: 6 (29 enodes) 18.215 * * [simplify]: iters left: 5 (138 enodes) 18.253 * * [simplify]: iters left: 4 (325 enodes) 18.387 * * [simplify]: Extracting #0: cost 1 inf + 0 18.387 * * [simplify]: Extracting #1: cost 38 inf + 0 18.388 * * [simplify]: Extracting #2: cost 178 inf + 0 18.395 * * [simplify]: Extracting #3: cost 262 inf + 256 18.400 * * [simplify]: Extracting #4: cost 185 inf + 10535 18.411 * * [simplify]: Extracting #5: cost 76 inf + 38460 18.425 * * [simplify]: Extracting #6: cost 9 inf + 67575 18.443 * * [simplify]: Extracting #7: cost 0 inf + 71151 18.464 * [simplify]: Simplified to (+ (- (* 1/8 (- (/ (sqrt 2) (* v (sqrt -3))) (/ (* (sqrt 2) v) (sqrt -3)))) (* 1/4 (* (sqrt -3) (* v (* (* v v) (sqrt 2)))))) (+ (/ (* (/ -1/96 (sqrt -3)) (sqrt 2)) v) (* (* 1/4 (sqrt 2)) (* v (sqrt -3))))) 18.464 * [simplify]: Simplified (2) to (λ (v) (+ (- (* 1/8 (- (/ (sqrt 2) (* v (sqrt -3))) (/ (* (sqrt 2) v) (sqrt -3)))) (* 1/4 (* (sqrt -3) (* v (* (* v v) (sqrt 2)))))) (+ (/ (* (/ -1/96 (sqrt -3)) (sqrt 2)) v) (* (* 1/4 (sqrt 2)) (* v (sqrt -3)))))) 18.464 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 18.465 * [simplify]: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) 18.465 * * [simplify]: iters left: 6 (29 enodes) 18.474 * * [simplify]: iters left: 5 (138 enodes) 18.521 * * [simplify]: iters left: 4 (327 enodes) 18.652 * * [simplify]: Extracting #0: cost 1 inf + 0 18.652 * * [simplify]: Extracting #1: cost 34 inf + 0 18.653 * * [simplify]: Extracting #2: cost 180 inf + 0 18.654 * * [simplify]: Extracting #3: cost 265 inf + 173 18.656 * * [simplify]: Extracting #4: cost 201 inf + 9022 18.665 * * [simplify]: Extracting #5: cost 65 inf + 45138 18.684 * * [simplify]: Extracting #6: cost 8 inf + 67684 18.713 * * [simplify]: Extracting #7: cost 0 inf + 70233 18.741 * [simplify]: Simplified to (- (- (+ (* (/ (sqrt 2) (/ (sqrt -3) v)) 1/8) (* (* (sqrt 2) 1/4) (* (* v (* v v)) (sqrt -3)))) (* (sqrt -3) (* v (* (sqrt 2) 1/4)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3))))) 18.741 * [simplify]: Simplified (2) to (λ (v) (- (- (+ (* (/ (sqrt 2) (/ (sqrt -3) v)) 1/8) (* (* (sqrt 2) 1/4) (* (* v (* v v)) (sqrt -3)))) (* (sqrt -3) (* v (* (sqrt 2) 1/4)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3)))))) 18.742 * * * [progress]: adding candidates to table 20.271 * * [progress]: iteration 2 / 4 20.271 * * * [progress]: picking best candidate 20.274 * * * * [pick]: Picked # 20.274 * * * [progress]: localizing error 20.305 * * * [progress]: generating rewritten candidates 20.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 20.595 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1 2) 20.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 2) 20.633 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 20.673 * * * [progress]: generating series expansions 20.673 * * * * [progress]: [ 1 / 4 ] generating series at (2) 20.675 * [backup-simplify]: Simplify (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) 20.675 * [approximate]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in (v) around 0 20.675 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in v 20.675 * [taylor]: Taking taylor expansion of 1/4 in v 20.675 * [backup-simplify]: Simplify 1/4 into 1/4 20.675 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))) in v 20.675 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 20.675 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 20.675 * [taylor]: Taking taylor expansion of 1 in v 20.675 * [backup-simplify]: Simplify 1 into 1 20.675 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 20.675 * [taylor]: Taking taylor expansion of 3 in v 20.675 * [backup-simplify]: Simplify 3 into 3 20.675 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.675 * [taylor]: Taking taylor expansion of v in v 20.675 * [backup-simplify]: Simplify 0 into 0 20.675 * [backup-simplify]: Simplify 1 into 1 20.676 * [backup-simplify]: Simplify (+ 1 0) into 1 20.676 * [backup-simplify]: Simplify (sqrt 1) into 1 20.676 * [backup-simplify]: Simplify (+ 0 0) into 0 20.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.677 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (pow v 2))) in v 20.677 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.677 * [taylor]: Taking taylor expansion of 2 in v 20.677 * [backup-simplify]: Simplify 2 into 2 20.677 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.677 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 20.677 * [taylor]: Taking taylor expansion of 1 in v 20.677 * [backup-simplify]: Simplify 1 into 1 20.677 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.677 * [taylor]: Taking taylor expansion of v in v 20.677 * [backup-simplify]: Simplify 0 into 0 20.677 * [backup-simplify]: Simplify 1 into 1 20.677 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) in v 20.677 * [taylor]: Taking taylor expansion of 1/4 in v 20.677 * [backup-simplify]: Simplify 1/4 into 1/4 20.677 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))) in v 20.678 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 20.678 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 20.678 * [taylor]: Taking taylor expansion of 1 in v 20.678 * [backup-simplify]: Simplify 1 into 1 20.678 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 20.678 * [taylor]: Taking taylor expansion of 3 in v 20.678 * [backup-simplify]: Simplify 3 into 3 20.678 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.678 * [taylor]: Taking taylor expansion of v in v 20.678 * [backup-simplify]: Simplify 0 into 0 20.678 * [backup-simplify]: Simplify 1 into 1 20.678 * [backup-simplify]: Simplify (+ 1 0) into 1 20.678 * [backup-simplify]: Simplify (sqrt 1) into 1 20.678 * [backup-simplify]: Simplify (+ 0 0) into 0 20.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.679 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (pow v 2))) in v 20.679 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.679 * [taylor]: Taking taylor expansion of 2 in v 20.679 * [backup-simplify]: Simplify 2 into 2 20.679 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.680 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 20.680 * [taylor]: Taking taylor expansion of 1 in v 20.680 * [backup-simplify]: Simplify 1 into 1 20.680 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.680 * [taylor]: Taking taylor expansion of v in v 20.680 * [backup-simplify]: Simplify 0 into 0 20.680 * [backup-simplify]: Simplify 1 into 1 20.680 * [backup-simplify]: Simplify (+ 1 0) into 1 20.681 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 20.681 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 20.682 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 20.682 * [backup-simplify]: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) 20.683 * [backup-simplify]: Simplify (+ 0 0) into 0 20.683 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 20.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 20.685 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt 2))) into 0 20.685 * [backup-simplify]: Simplify 0 into 0 20.685 * [backup-simplify]: Simplify (* 1 1) into 1 20.685 * [backup-simplify]: Simplify (- 1) into -1 20.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 20.688 * [backup-simplify]: Simplify (+ (* (sqrt 2) -1) (+ (* 0 0) (* 0 1))) into (- (sqrt 2)) 20.688 * [backup-simplify]: Simplify (* 1 1) into 1 20.688 * [backup-simplify]: Simplify (* 3 1) into 3 20.689 * [backup-simplify]: Simplify (- 3) into -3 20.689 * [backup-simplify]: Simplify (+ 0 -3) into -3 20.689 * [backup-simplify]: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 20.692 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 2))) (+ (* 0 0) (* -3/2 (sqrt 2)))) into (- (* 5/2 (sqrt 2))) 20.695 * [backup-simplify]: Simplify (+ (* 1/4 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))) into (- (* 5/8 (sqrt 2))) 20.696 * [backup-simplify]: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) 20.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.697 * [backup-simplify]: Simplify (- 0) into 0 20.697 * [backup-simplify]: Simplify (+ 0 0) into 0 20.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.699 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 20.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.700 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 20.700 * [backup-simplify]: Simplify (- 0) into 0 20.700 * [backup-simplify]: Simplify (+ 0 0) into 0 20.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 20.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (sqrt 2))) (+ (* -3/2 0) (* 0 (sqrt 2))))) into 0 20.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.705 * [backup-simplify]: Simplify (- 0) into 0 20.706 * [backup-simplify]: Simplify (+ 0 0) into 0 20.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.707 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 20.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.709 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 20.709 * [backup-simplify]: Simplify (- 0) into 0 20.709 * [backup-simplify]: Simplify (+ 0 0) into 0 20.710 * [backup-simplify]: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 20.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -3/2 (- (sqrt 2))) (+ (* 0 0) (* -9/8 (sqrt 2)))))) into (* 3/8 (sqrt 2)) 20.728 * [backup-simplify]: Simplify (+ (* 1/4 (* 3/8 (sqrt 2))) (+ (* 0 0) (+ (* 0 (- (* 5/2 (sqrt 2)))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (* 3/32 (sqrt 2)) 20.729 * [backup-simplify]: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) 20.731 * [backup-simplify]: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) 20.733 * [backup-simplify]: Simplify (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) into (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 20.733 * [approximate]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 20.733 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 20.733 * [taylor]: Taking taylor expansion of 1/4 in v 20.733 * [backup-simplify]: Simplify 1/4 into 1/4 20.733 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 20.733 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 20.733 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.733 * [taylor]: Taking taylor expansion of 2 in v 20.733 * [backup-simplify]: Simplify 2 into 2 20.733 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.734 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 20.734 * [taylor]: Taking taylor expansion of 1 in v 20.734 * [backup-simplify]: Simplify 1 into 1 20.734 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.734 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.734 * [taylor]: Taking taylor expansion of v in v 20.734 * [backup-simplify]: Simplify 0 into 0 20.734 * [backup-simplify]: Simplify 1 into 1 20.734 * [backup-simplify]: Simplify (* 1 1) into 1 20.735 * [backup-simplify]: Simplify (/ 1 1) into 1 20.735 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 20.735 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 20.735 * [taylor]: Taking taylor expansion of 1 in v 20.735 * [backup-simplify]: Simplify 1 into 1 20.735 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 20.735 * [taylor]: Taking taylor expansion of 3 in v 20.735 * [backup-simplify]: Simplify 3 into 3 20.735 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.735 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.735 * [taylor]: Taking taylor expansion of v in v 20.735 * [backup-simplify]: Simplify 0 into 0 20.735 * [backup-simplify]: Simplify 1 into 1 20.735 * [backup-simplify]: Simplify (* 1 1) into 1 20.735 * [backup-simplify]: Simplify (/ 1 1) into 1 20.735 * [backup-simplify]: Simplify (* 3 1) into 3 20.736 * [backup-simplify]: Simplify (- 3) into -3 20.736 * [backup-simplify]: Simplify (+ 0 -3) into -3 20.736 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 20.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.738 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 20.738 * [backup-simplify]: Simplify (- 0) into 0 20.738 * [backup-simplify]: Simplify (+ 0 0) into 0 20.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 20.738 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 20.739 * [taylor]: Taking taylor expansion of 1/4 in v 20.739 * [backup-simplify]: Simplify 1/4 into 1/4 20.739 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 20.739 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 20.739 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.739 * [taylor]: Taking taylor expansion of 2 in v 20.739 * [backup-simplify]: Simplify 2 into 2 20.739 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.739 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 20.739 * [taylor]: Taking taylor expansion of 1 in v 20.739 * [backup-simplify]: Simplify 1 into 1 20.739 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.739 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.739 * [taylor]: Taking taylor expansion of v in v 20.739 * [backup-simplify]: Simplify 0 into 0 20.739 * [backup-simplify]: Simplify 1 into 1 20.740 * [backup-simplify]: Simplify (* 1 1) into 1 20.740 * [backup-simplify]: Simplify (/ 1 1) into 1 20.740 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 20.740 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 20.740 * [taylor]: Taking taylor expansion of 1 in v 20.740 * [backup-simplify]: Simplify 1 into 1 20.740 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 20.740 * [taylor]: Taking taylor expansion of 3 in v 20.740 * [backup-simplify]: Simplify 3 into 3 20.740 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.740 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.740 * [taylor]: Taking taylor expansion of v in v 20.740 * [backup-simplify]: Simplify 0 into 0 20.740 * [backup-simplify]: Simplify 1 into 1 20.740 * [backup-simplify]: Simplify (* 1 1) into 1 20.741 * [backup-simplify]: Simplify (/ 1 1) into 1 20.741 * [backup-simplify]: Simplify (* 3 1) into 3 20.741 * [backup-simplify]: Simplify (- 3) into -3 20.741 * [backup-simplify]: Simplify (+ 0 -3) into -3 20.742 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 20.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.743 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 20.743 * [backup-simplify]: Simplify (- 0) into 0 20.744 * [backup-simplify]: Simplify (+ 0 0) into 0 20.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 20.745 * [backup-simplify]: Simplify (- 1) into -1 20.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.747 * [backup-simplify]: Simplify (* (sqrt 2) -1) into (* -1 (sqrt 2)) 20.749 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (sqrt -3)) into (* -1 (* (sqrt 2) (sqrt -3))) 20.752 * [backup-simplify]: Simplify (* 1/4 (* -1 (* (sqrt 2) (sqrt -3)))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 20.755 * [backup-simplify]: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 20.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.757 * [backup-simplify]: Simplify (- 0) into 0 20.757 * [backup-simplify]: Simplify (+ 0 0) into 0 20.758 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 -1)) into 0 20.759 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 20.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))) into 0 20.761 * [backup-simplify]: Simplify 0 into 0 20.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.764 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 20.764 * [backup-simplify]: Simplify (- 0) into 0 20.764 * [backup-simplify]: Simplify (+ 1 0) into 1 20.766 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 20.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.767 * [backup-simplify]: Simplify (- 0) into 0 20.767 * [backup-simplify]: Simplify (+ 1 0) into 1 20.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 20.770 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 -1))) into (sqrt 2) 20.774 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (sqrt 2) (sqrt -3)))) into (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 20.780 * [backup-simplify]: Simplify (+ (* 1/4 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.784 * [backup-simplify]: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.786 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.786 * [backup-simplify]: Simplify (- 0) into 0 20.787 * [backup-simplify]: Simplify (+ 0 0) into 0 20.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 20.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.789 * [backup-simplify]: Simplify (- 0) into 0 20.789 * [backup-simplify]: Simplify (+ 0 0) into 0 20.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.791 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 20.792 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (sqrt 2) 0) (* 0 (sqrt -3))))) into 0 20.794 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))))) into 0 20.794 * [backup-simplify]: Simplify 0 into 0 20.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.797 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.798 * [backup-simplify]: Simplify (- 0) into 0 20.798 * [backup-simplify]: Simplify (+ 0 0) into 0 20.804 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 20.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.806 * [backup-simplify]: Simplify (- 0) into 0 20.806 * [backup-simplify]: Simplify (+ 0 0) into 0 20.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.808 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 20.816 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 20.830 * [backup-simplify]: Simplify (+ (* 1/4 (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.838 * [backup-simplify]: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.854 * [backup-simplify]: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) 20.857 * [backup-simplify]: Simplify (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) into (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) 20.857 * [approximate]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in (v) around 0 20.857 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 20.857 * [taylor]: Taking taylor expansion of 1/4 in v 20.857 * [backup-simplify]: Simplify 1/4 into 1/4 20.857 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 20.857 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 20.857 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.857 * [taylor]: Taking taylor expansion of 2 in v 20.857 * [backup-simplify]: Simplify 2 into 2 20.858 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.859 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 20.859 * [taylor]: Taking taylor expansion of 1 in v 20.859 * [backup-simplify]: Simplify 1 into 1 20.859 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.859 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.859 * [taylor]: Taking taylor expansion of v in v 20.859 * [backup-simplify]: Simplify 0 into 0 20.859 * [backup-simplify]: Simplify 1 into 1 20.859 * [backup-simplify]: Simplify (* 1 1) into 1 20.860 * [backup-simplify]: Simplify (/ 1 1) into 1 20.860 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 20.860 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 20.860 * [taylor]: Taking taylor expansion of 1 in v 20.860 * [backup-simplify]: Simplify 1 into 1 20.860 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 20.860 * [taylor]: Taking taylor expansion of 3 in v 20.860 * [backup-simplify]: Simplify 3 into 3 20.860 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.860 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.860 * [taylor]: Taking taylor expansion of v in v 20.860 * [backup-simplify]: Simplify 0 into 0 20.860 * [backup-simplify]: Simplify 1 into 1 20.860 * [backup-simplify]: Simplify (* 1 1) into 1 20.861 * [backup-simplify]: Simplify (/ 1 1) into 1 20.861 * [backup-simplify]: Simplify (* 3 1) into 3 20.862 * [backup-simplify]: Simplify (- 3) into -3 20.862 * [backup-simplify]: Simplify (+ 0 -3) into -3 20.862 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 20.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.865 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 20.865 * [backup-simplify]: Simplify (- 0) into 0 20.865 * [backup-simplify]: Simplify (+ 0 0) into 0 20.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 20.866 * [taylor]: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2))))))) in v 20.866 * [taylor]: Taking taylor expansion of 1/4 in v 20.866 * [backup-simplify]: Simplify 1/4 into 1/4 20.866 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) (sqrt (- 1 (* 3 (/ 1 (pow v 2)))))) in v 20.866 * [taylor]: Taking taylor expansion of (* (sqrt 2) (- 1 (/ 1 (pow v 2)))) in v 20.866 * [taylor]: Taking taylor expansion of (sqrt 2) in v 20.866 * [taylor]: Taking taylor expansion of 2 in v 20.866 * [backup-simplify]: Simplify 2 into 2 20.867 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 20.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 20.868 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 20.868 * [taylor]: Taking taylor expansion of 1 in v 20.868 * [backup-simplify]: Simplify 1 into 1 20.868 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.868 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.868 * [taylor]: Taking taylor expansion of v in v 20.868 * [backup-simplify]: Simplify 0 into 0 20.868 * [backup-simplify]: Simplify 1 into 1 20.868 * [backup-simplify]: Simplify (* 1 1) into 1 20.868 * [backup-simplify]: Simplify (/ 1 1) into 1 20.869 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 20.869 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 20.869 * [taylor]: Taking taylor expansion of 1 in v 20.869 * [backup-simplify]: Simplify 1 into 1 20.869 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 20.869 * [taylor]: Taking taylor expansion of 3 in v 20.869 * [backup-simplify]: Simplify 3 into 3 20.869 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 20.869 * [taylor]: Taking taylor expansion of (pow v 2) in v 20.869 * [taylor]: Taking taylor expansion of v in v 20.869 * [backup-simplify]: Simplify 0 into 0 20.869 * [backup-simplify]: Simplify 1 into 1 20.869 * [backup-simplify]: Simplify (* 1 1) into 1 20.870 * [backup-simplify]: Simplify (/ 1 1) into 1 20.870 * [backup-simplify]: Simplify (* 3 1) into 3 20.870 * [backup-simplify]: Simplify (- 3) into -3 20.871 * [backup-simplify]: Simplify (+ 0 -3) into -3 20.871 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 20.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.874 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 20.874 * [backup-simplify]: Simplify (- 0) into 0 20.874 * [backup-simplify]: Simplify (+ 0 0) into 0 20.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 20.876 * [backup-simplify]: Simplify (- 1) into -1 20.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.877 * [backup-simplify]: Simplify (* (sqrt 2) -1) into (* -1 (sqrt 2)) 20.879 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (sqrt -3)) into (* -1 (* (sqrt 2) (sqrt -3))) 20.883 * [backup-simplify]: Simplify (* 1/4 (* -1 (* (sqrt 2) (sqrt -3)))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 20.885 * [backup-simplify]: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) 20.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.887 * [backup-simplify]: Simplify (- 0) into 0 20.887 * [backup-simplify]: Simplify (+ 0 0) into 0 20.888 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 -1)) into 0 20.889 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 20.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))) into 0 20.891 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.894 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 20.894 * [backup-simplify]: Simplify (- 0) into 0 20.895 * [backup-simplify]: Simplify (+ 1 0) into 1 20.898 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 20.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.900 * [backup-simplify]: Simplify (- 0) into 0 20.901 * [backup-simplify]: Simplify (+ 1 0) into 1 20.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 20.904 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 -1))) into (sqrt 2) 20.912 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (sqrt 2) (sqrt -3)))) into (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 20.921 * [backup-simplify]: Simplify (+ (* 1/4 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.925 * [backup-simplify]: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.927 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.927 * [backup-simplify]: Simplify (- 0) into 0 20.927 * [backup-simplify]: Simplify (+ 0 0) into 0 20.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 20.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.930 * [backup-simplify]: Simplify (- 0) into 0 20.930 * [backup-simplify]: Simplify (+ 0 0) into 0 20.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.931 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 20.933 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (sqrt 2) 0) (* 0 (sqrt -3))))) into 0 20.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3))))))) into 0 20.934 * [backup-simplify]: Simplify 0 into 0 20.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.937 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.937 * [backup-simplify]: Simplify (- 0) into 0 20.937 * [backup-simplify]: Simplify (+ 0 0) into 0 20.941 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 20.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.942 * [backup-simplify]: Simplify (- 0) into 0 20.943 * [backup-simplify]: Simplify (+ 0 0) into 0 20.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 20.953 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 20.968 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (sqrt 2) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) 20.986 * [backup-simplify]: Simplify (+ (* 1/4 (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (+ (* 0 (- (* (sqrt 2) (sqrt -3)) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (+ (* 0 0) (* 0 (* -1 (* (sqrt 2) (sqrt -3)))))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 20.994 * [backup-simplify]: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) 21.008 * [backup-simplify]: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) 21.008 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1 2) 21.008 * [backup-simplify]: Simplify (* 3 (* v v)) into (* 3 (pow v 2)) 21.008 * [approximate]: Taking taylor expansion of (* 3 (pow v 2)) in (v) around 0 21.008 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.008 * [taylor]: Taking taylor expansion of 3 in v 21.008 * [backup-simplify]: Simplify 3 into 3 21.008 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.008 * [taylor]: Taking taylor expansion of v in v 21.008 * [backup-simplify]: Simplify 0 into 0 21.008 * [backup-simplify]: Simplify 1 into 1 21.008 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.008 * [taylor]: Taking taylor expansion of 3 in v 21.008 * [backup-simplify]: Simplify 3 into 3 21.008 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.008 * [taylor]: Taking taylor expansion of v in v 21.008 * [backup-simplify]: Simplify 0 into 0 21.008 * [backup-simplify]: Simplify 1 into 1 21.008 * [backup-simplify]: Simplify (* 1 1) into 1 21.009 * [backup-simplify]: Simplify (* 3 1) into 3 21.009 * [backup-simplify]: Simplify 3 into 3 21.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.009 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.011 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 21.011 * [backup-simplify]: Simplify 0 into 0 21.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.012 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.012 * [backup-simplify]: Simplify 0 into 0 21.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.013 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.013 * [backup-simplify]: Simplify 0 into 0 21.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.015 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.015 * [backup-simplify]: Simplify 0 into 0 21.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.017 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.017 * [backup-simplify]: Simplify 0 into 0 21.017 * [backup-simplify]: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) 21.017 * [backup-simplify]: Simplify (* 3 (* (/ 1 v) (/ 1 v))) into (/ 3 (pow v 2)) 21.017 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 21.017 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.017 * [taylor]: Taking taylor expansion of 3 in v 21.017 * [backup-simplify]: Simplify 3 into 3 21.017 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.017 * [taylor]: Taking taylor expansion of v in v 21.017 * [backup-simplify]: Simplify 0 into 0 21.017 * [backup-simplify]: Simplify 1 into 1 21.018 * [backup-simplify]: Simplify (* 1 1) into 1 21.018 * [backup-simplify]: Simplify (/ 3 1) into 3 21.018 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.018 * [taylor]: Taking taylor expansion of 3 in v 21.018 * [backup-simplify]: Simplify 3 into 3 21.018 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.018 * [taylor]: Taking taylor expansion of v in v 21.018 * [backup-simplify]: Simplify 0 into 0 21.018 * [backup-simplify]: Simplify 1 into 1 21.018 * [backup-simplify]: Simplify (* 1 1) into 1 21.018 * [backup-simplify]: Simplify (/ 3 1) into 3 21.018 * [backup-simplify]: Simplify 3 into 3 21.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 21.019 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.021 * [backup-simplify]: Simplify 0 into 0 21.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.022 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.023 * [backup-simplify]: Simplify 0 into 0 21.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.025 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) 21.027 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 3 (pow v 2)) 21.027 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 21.027 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.027 * [taylor]: Taking taylor expansion of 3 in v 21.027 * [backup-simplify]: Simplify 3 into 3 21.027 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.027 * [taylor]: Taking taylor expansion of v in v 21.027 * [backup-simplify]: Simplify 0 into 0 21.027 * [backup-simplify]: Simplify 1 into 1 21.027 * [backup-simplify]: Simplify (* 1 1) into 1 21.027 * [backup-simplify]: Simplify (/ 3 1) into 3 21.027 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.027 * [taylor]: Taking taylor expansion of 3 in v 21.027 * [backup-simplify]: Simplify 3 into 3 21.027 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.027 * [taylor]: Taking taylor expansion of v in v 21.027 * [backup-simplify]: Simplify 0 into 0 21.027 * [backup-simplify]: Simplify 1 into 1 21.028 * [backup-simplify]: Simplify (* 1 1) into 1 21.028 * [backup-simplify]: Simplify (/ 3 1) into 3 21.028 * [backup-simplify]: Simplify 3 into 3 21.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 21.029 * [backup-simplify]: Simplify 0 into 0 21.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.030 * [backup-simplify]: Simplify 0 into 0 21.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.032 * [backup-simplify]: Simplify 0 into 0 21.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.034 * [backup-simplify]: Simplify 0 into 0 21.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.037 * [backup-simplify]: Simplify 0 into 0 21.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.039 * [backup-simplify]: Simplify 0 into 0 21.040 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) 21.040 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 2) 21.040 * [backup-simplify]: Simplify (* 3 (* v v)) into (* 3 (pow v 2)) 21.040 * [approximate]: Taking taylor expansion of (* 3 (pow v 2)) in (v) around 0 21.040 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.040 * [taylor]: Taking taylor expansion of 3 in v 21.040 * [backup-simplify]: Simplify 3 into 3 21.040 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.040 * [taylor]: Taking taylor expansion of v in v 21.040 * [backup-simplify]: Simplify 0 into 0 21.040 * [backup-simplify]: Simplify 1 into 1 21.040 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.040 * [taylor]: Taking taylor expansion of 3 in v 21.040 * [backup-simplify]: Simplify 3 into 3 21.040 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.040 * [taylor]: Taking taylor expansion of v in v 21.040 * [backup-simplify]: Simplify 0 into 0 21.040 * [backup-simplify]: Simplify 1 into 1 21.041 * [backup-simplify]: Simplify (* 1 1) into 1 21.041 * [backup-simplify]: Simplify (* 3 1) into 3 21.041 * [backup-simplify]: Simplify 3 into 3 21.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.043 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.043 * [backup-simplify]: Simplify 0 into 0 21.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.045 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 21.045 * [backup-simplify]: Simplify 0 into 0 21.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.047 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.047 * [backup-simplify]: Simplify 0 into 0 21.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.050 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.050 * [backup-simplify]: Simplify 0 into 0 21.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.052 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.053 * [backup-simplify]: Simplify 0 into 0 21.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.056 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.056 * [backup-simplify]: Simplify 0 into 0 21.056 * [backup-simplify]: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) 21.056 * [backup-simplify]: Simplify (* 3 (* (/ 1 v) (/ 1 v))) into (/ 3 (pow v 2)) 21.056 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 21.056 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.056 * [taylor]: Taking taylor expansion of 3 in v 21.057 * [backup-simplify]: Simplify 3 into 3 21.057 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.057 * [taylor]: Taking taylor expansion of v in v 21.057 * [backup-simplify]: Simplify 0 into 0 21.057 * [backup-simplify]: Simplify 1 into 1 21.057 * [backup-simplify]: Simplify (* 1 1) into 1 21.057 * [backup-simplify]: Simplify (/ 3 1) into 3 21.057 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.057 * [taylor]: Taking taylor expansion of 3 in v 21.057 * [backup-simplify]: Simplify 3 into 3 21.058 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.058 * [taylor]: Taking taylor expansion of v in v 21.058 * [backup-simplify]: Simplify 0 into 0 21.058 * [backup-simplify]: Simplify 1 into 1 21.058 * [backup-simplify]: Simplify (* 1 1) into 1 21.058 * [backup-simplify]: Simplify (/ 3 1) into 3 21.058 * [backup-simplify]: Simplify 3 into 3 21.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 21.060 * [backup-simplify]: Simplify 0 into 0 21.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.062 * [backup-simplify]: Simplify 0 into 0 21.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.064 * [backup-simplify]: Simplify 0 into 0 21.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.065 * [backup-simplify]: Simplify 0 into 0 21.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.067 * [backup-simplify]: Simplify 0 into 0 21.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.068 * [backup-simplify]: Simplify 0 into 0 21.068 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) 21.069 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 3 (pow v 2)) 21.069 * [approximate]: Taking taylor expansion of (/ 3 (pow v 2)) in (v) around 0 21.069 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.069 * [taylor]: Taking taylor expansion of 3 in v 21.069 * [backup-simplify]: Simplify 3 into 3 21.069 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.069 * [taylor]: Taking taylor expansion of v in v 21.069 * [backup-simplify]: Simplify 0 into 0 21.069 * [backup-simplify]: Simplify 1 into 1 21.069 * [backup-simplify]: Simplify (* 1 1) into 1 21.069 * [backup-simplify]: Simplify (/ 3 1) into 3 21.069 * [taylor]: Taking taylor expansion of (/ 3 (pow v 2)) in v 21.069 * [taylor]: Taking taylor expansion of 3 in v 21.069 * [backup-simplify]: Simplify 3 into 3 21.069 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.069 * [taylor]: Taking taylor expansion of v in v 21.069 * [backup-simplify]: Simplify 0 into 0 21.069 * [backup-simplify]: Simplify 1 into 1 21.070 * [backup-simplify]: Simplify (* 1 1) into 1 21.070 * [backup-simplify]: Simplify (/ 3 1) into 3 21.070 * [backup-simplify]: Simplify 3 into 3 21.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 21.071 * [backup-simplify]: Simplify 0 into 0 21.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.072 * [backup-simplify]: Simplify 0 into 0 21.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.078 * [backup-simplify]: Simplify 0 into 0 21.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.080 * [backup-simplify]: Simplify 0 into 0 21.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.082 * [backup-simplify]: Simplify 0 into 0 21.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.083 * [backup-simplify]: Simplify 0 into 0 21.084 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) 21.084 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 21.084 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* v v)))) into (sqrt (- 1 (* 3 (pow v 2)))) 21.084 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in (v) around 0 21.084 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 21.084 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 21.084 * [taylor]: Taking taylor expansion of 1 in v 21.084 * [backup-simplify]: Simplify 1 into 1 21.084 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.084 * [taylor]: Taking taylor expansion of 3 in v 21.084 * [backup-simplify]: Simplify 3 into 3 21.084 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.084 * [taylor]: Taking taylor expansion of v in v 21.084 * [backup-simplify]: Simplify 0 into 0 21.084 * [backup-simplify]: Simplify 1 into 1 21.084 * [backup-simplify]: Simplify (+ 1 0) into 1 21.085 * [backup-simplify]: Simplify (sqrt 1) into 1 21.085 * [backup-simplify]: Simplify (+ 0 0) into 0 21.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.085 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (pow v 2)))) in v 21.085 * [taylor]: Taking taylor expansion of (- 1 (* 3 (pow v 2))) in v 21.085 * [taylor]: Taking taylor expansion of 1 in v 21.085 * [backup-simplify]: Simplify 1 into 1 21.085 * [taylor]: Taking taylor expansion of (* 3 (pow v 2)) in v 21.085 * [taylor]: Taking taylor expansion of 3 in v 21.085 * [backup-simplify]: Simplify 3 into 3 21.085 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.085 * [taylor]: Taking taylor expansion of v in v 21.085 * [backup-simplify]: Simplify 0 into 0 21.085 * [backup-simplify]: Simplify 1 into 1 21.086 * [backup-simplify]: Simplify (+ 1 0) into 1 21.086 * [backup-simplify]: Simplify (sqrt 1) into 1 21.086 * [backup-simplify]: Simplify (+ 0 0) into 0 21.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.087 * [backup-simplify]: Simplify 1 into 1 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [backup-simplify]: Simplify (* 1 1) into 1 21.088 * [backup-simplify]: Simplify (* 3 1) into 3 21.088 * [backup-simplify]: Simplify (- 3) into -3 21.088 * [backup-simplify]: Simplify (+ 0 -3) into -3 21.089 * [backup-simplify]: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 21.089 * [backup-simplify]: Simplify -3/2 into -3/2 21.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.090 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.090 * [backup-simplify]: Simplify (- 0) into 0 21.090 * [backup-simplify]: Simplify (+ 0 0) into 0 21.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 21.091 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.093 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 21.094 * [backup-simplify]: Simplify (- 0) into 0 21.094 * [backup-simplify]: Simplify (+ 0 0) into 0 21.096 * [backup-simplify]: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 21.096 * [backup-simplify]: Simplify -9/8 into -9/8 21.096 * [backup-simplify]: Simplify (+ (* -9/8 (pow v 4)) (+ (* -3/2 (pow v 2)) 1)) into (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2)))) 21.096 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) 21.096 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in (v) around 0 21.096 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 21.096 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 21.096 * [taylor]: Taking taylor expansion of 1 in v 21.096 * [backup-simplify]: Simplify 1 into 1 21.097 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 21.097 * [taylor]: Taking taylor expansion of 3 in v 21.097 * [backup-simplify]: Simplify 3 into 3 21.097 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 21.097 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.097 * [taylor]: Taking taylor expansion of v in v 21.097 * [backup-simplify]: Simplify 0 into 0 21.097 * [backup-simplify]: Simplify 1 into 1 21.097 * [backup-simplify]: Simplify (* 1 1) into 1 21.098 * [backup-simplify]: Simplify (/ 1 1) into 1 21.098 * [backup-simplify]: Simplify (* 3 1) into 3 21.098 * [backup-simplify]: Simplify (- 3) into -3 21.099 * [backup-simplify]: Simplify (+ 0 -3) into -3 21.099 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.101 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.102 * [backup-simplify]: Simplify (- 0) into 0 21.102 * [backup-simplify]: Simplify (+ 0 0) into 0 21.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 21.103 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 21.103 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 21.103 * [taylor]: Taking taylor expansion of 1 in v 21.103 * [backup-simplify]: Simplify 1 into 1 21.103 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 21.103 * [taylor]: Taking taylor expansion of 3 in v 21.103 * [backup-simplify]: Simplify 3 into 3 21.103 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 21.103 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.103 * [taylor]: Taking taylor expansion of v in v 21.103 * [backup-simplify]: Simplify 0 into 0 21.103 * [backup-simplify]: Simplify 1 into 1 21.103 * [backup-simplify]: Simplify (* 1 1) into 1 21.104 * [backup-simplify]: Simplify (/ 1 1) into 1 21.104 * [backup-simplify]: Simplify (* 3 1) into 3 21.104 * [backup-simplify]: Simplify (- 3) into -3 21.104 * [backup-simplify]: Simplify (+ 0 -3) into -3 21.105 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.106 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.107 * [backup-simplify]: Simplify (- 0) into 0 21.107 * [backup-simplify]: Simplify (+ 0 0) into 0 21.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 21.108 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.108 * [backup-simplify]: Simplify 0 into 0 21.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.109 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 21.110 * [backup-simplify]: Simplify (- 0) into 0 21.110 * [backup-simplify]: Simplify (+ 1 0) into 1 21.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 21.112 * [backup-simplify]: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) 21.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.114 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.114 * [backup-simplify]: Simplify (- 0) into 0 21.114 * [backup-simplify]: Simplify (+ 0 0) into 0 21.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 21.115 * [backup-simplify]: Simplify 0 into 0 21.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.117 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.118 * [backup-simplify]: Simplify (- 0) into 0 21.118 * [backup-simplify]: Simplify (+ 0 0) into 0 21.122 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 21.123 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) 21.126 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 v)) (* (sqrt -3) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) 21.126 * [backup-simplify]: Simplify (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) into (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) 21.126 * [approximate]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in (v) around 0 21.126 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 21.126 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 21.126 * [taylor]: Taking taylor expansion of 1 in v 21.126 * [backup-simplify]: Simplify 1 into 1 21.126 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 21.126 * [taylor]: Taking taylor expansion of 3 in v 21.126 * [backup-simplify]: Simplify 3 into 3 21.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 21.126 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.126 * [taylor]: Taking taylor expansion of v in v 21.127 * [backup-simplify]: Simplify 0 into 0 21.127 * [backup-simplify]: Simplify 1 into 1 21.127 * [backup-simplify]: Simplify (* 1 1) into 1 21.127 * [backup-simplify]: Simplify (/ 1 1) into 1 21.128 * [backup-simplify]: Simplify (* 3 1) into 3 21.128 * [backup-simplify]: Simplify (- 3) into -3 21.129 * [backup-simplify]: Simplify (+ 0 -3) into -3 21.129 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.131 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.132 * [backup-simplify]: Simplify (- 0) into 0 21.132 * [backup-simplify]: Simplify (+ 0 0) into 0 21.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 21.133 * [taylor]: Taking taylor expansion of (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) in v 21.133 * [taylor]: Taking taylor expansion of (- 1 (* 3 (/ 1 (pow v 2)))) in v 21.133 * [taylor]: Taking taylor expansion of 1 in v 21.133 * [backup-simplify]: Simplify 1 into 1 21.133 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow v 2))) in v 21.133 * [taylor]: Taking taylor expansion of 3 in v 21.133 * [backup-simplify]: Simplify 3 into 3 21.133 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 21.133 * [taylor]: Taking taylor expansion of (pow v 2) in v 21.133 * [taylor]: Taking taylor expansion of v in v 21.133 * [backup-simplify]: Simplify 0 into 0 21.133 * [backup-simplify]: Simplify 1 into 1 21.133 * [backup-simplify]: Simplify (* 1 1) into 1 21.134 * [backup-simplify]: Simplify (/ 1 1) into 1 21.134 * [backup-simplify]: Simplify (* 3 1) into 3 21.135 * [backup-simplify]: Simplify (- 3) into -3 21.135 * [backup-simplify]: Simplify (+ 0 -3) into -3 21.135 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.138 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 21.138 * [backup-simplify]: Simplify (- 0) into 0 21.139 * [backup-simplify]: Simplify (+ 0 0) into 0 21.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -3))) into 0 21.140 * [backup-simplify]: Simplify (sqrt -3) into (sqrt -3) 21.140 * [backup-simplify]: Simplify 0 into 0 21.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.143 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 21.143 * [backup-simplify]: Simplify (- 0) into 0 21.144 * [backup-simplify]: Simplify (+ 1 0) into 1 21.147 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) 21.147 * [backup-simplify]: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) 21.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.151 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.151 * [backup-simplify]: Simplify (- 0) into 0 21.152 * [backup-simplify]: Simplify (+ 0 0) into 0 21.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 21.153 * [backup-simplify]: Simplify 0 into 0 21.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.157 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.158 * [backup-simplify]: Simplify (- 0) into 0 21.158 * [backup-simplify]: Simplify (+ 0 0) into 0 21.165 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) 21.167 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) 21.170 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 (- v))) (* (sqrt -3) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) 21.170 * * * [progress]: simplifying candidates 21.170 * * * * [progress]: [ 1 / 458 ] simplifiying candidate # 21.171 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 21.171 * * [simplify]: iters left: 6 (14 enodes) 21.180 * * [simplify]: iters left: 5 (57 enodes) 21.201 * * [simplify]: iters left: 4 (113 enodes) 21.237 * * [simplify]: iters left: 3 (238 enodes) 21.320 * * [simplify]: Extracting #0: cost 1 inf + 0 21.321 * * [simplify]: Extracting #1: cost 31 inf + 0 21.321 * * [simplify]: Extracting #2: cost 82 inf + 2 21.322 * * [simplify]: Extracting #3: cost 107 inf + 209 21.323 * * [simplify]: Extracting #4: cost 82 inf + 3474 21.325 * * [simplify]: Extracting #5: cost 63 inf + 6248 21.329 * * [simplify]: Extracting #6: cost 14 inf + 18680 21.335 * * [simplify]: Extracting #7: cost 0 inf + 22575 21.342 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 21.342 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ 1/2 1/2))) 21.342 * [simplify]: Simplifying (+ 1/2 1/2) 21.342 * * [simplify]: iters left: 2 (2 enodes) 21.344 * * [simplify]: iters left: 1 (7 enodes) 21.345 * * [simplify]: Extracting #0: cost 1 inf + 0 21.345 * * [simplify]: Extracting #1: cost 0 inf + 1 21.345 * [simplify]: Simplified to 1 21.345 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 21.345 * * * * [progress]: [ 2 / 458 ] simplifiying candidate # 21.346 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 21.346 * * [simplify]: iters left: 6 (14 enodes) 21.350 * * [simplify]: iters left: 5 (57 enodes) 21.362 * * [simplify]: iters left: 4 (113 enodes) 21.401 * * [simplify]: iters left: 3 (238 enodes) 21.496 * * [simplify]: Extracting #0: cost 1 inf + 0 21.496 * * [simplify]: Extracting #1: cost 31 inf + 0 21.500 * * [simplify]: Extracting #2: cost 82 inf + 2 21.501 * * [simplify]: Extracting #3: cost 107 inf + 209 21.503 * * [simplify]: Extracting #4: cost 82 inf + 3474 21.506 * * [simplify]: Extracting #5: cost 63 inf + 6248 21.514 * * [simplify]: Extracting #6: cost 14 inf + 18680 21.527 * * [simplify]: Extracting #7: cost 0 inf + 22575 21.540 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 21.540 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ 1/2 (/ 1 2)))) 21.540 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 21.540 * * [simplify]: iters left: 4 (5 enodes) 21.546 * * [simplify]: iters left: 3 (18 enodes) 21.554 * * [simplify]: iters left: 2 (20 enodes) 21.560 * * [simplify]: Extracting #0: cost 1 inf + 0 21.561 * * [simplify]: Extracting #1: cost 0 inf + 1 21.561 * [simplify]: Simplified to 1 21.561 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 21.561 * * * * [progress]: [ 3 / 458 ] simplifiying candidate # 21.561 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 21.561 * * [simplify]: iters left: 6 (14 enodes) 21.570 * * [simplify]: iters left: 5 (57 enodes) 21.591 * * [simplify]: iters left: 4 (113 enodes) 21.636 * * [simplify]: iters left: 3 (238 enodes) 21.747 * * [simplify]: Extracting #0: cost 1 inf + 0 21.747 * * [simplify]: Extracting #1: cost 31 inf + 0 21.748 * * [simplify]: Extracting #2: cost 82 inf + 2 21.748 * * [simplify]: Extracting #3: cost 107 inf + 209 21.749 * * [simplify]: Extracting #4: cost 82 inf + 3474 21.750 * * [simplify]: Extracting #5: cost 63 inf + 6248 21.754 * * [simplify]: Extracting #6: cost 14 inf + 18680 21.763 * * [simplify]: Extracting #7: cost 0 inf + 22575 21.769 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 21.769 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ 1/2 (/ 1 2)))) 21.770 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 21.770 * * [simplify]: iters left: 4 (5 enodes) 21.774 * * [simplify]: iters left: 3 (18 enodes) 21.778 * * [simplify]: iters left: 2 (20 enodes) 21.782 * * [simplify]: Extracting #0: cost 1 inf + 0 21.782 * * [simplify]: Extracting #1: cost 0 inf + 1 21.782 * [simplify]: Simplified to 1 21.782 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 21.782 * * * * [progress]: [ 4 / 458 ] simplifiying candidate # 21.782 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 21.782 * * [simplify]: iters left: 6 (14 enodes) 21.787 * * [simplify]: iters left: 5 (57 enodes) 21.800 * * [simplify]: iters left: 4 (113 enodes) 21.843 * * [simplify]: iters left: 3 (238 enodes) 21.928 * * [simplify]: Extracting #0: cost 1 inf + 0 21.928 * * [simplify]: Extracting #1: cost 31 inf + 0 21.929 * * [simplify]: Extracting #2: cost 82 inf + 2 21.930 * * [simplify]: Extracting #3: cost 107 inf + 209 21.932 * * [simplify]: Extracting #4: cost 82 inf + 3474 21.934 * * [simplify]: Extracting #5: cost 63 inf + 6248 21.943 * * [simplify]: Extracting #6: cost 14 inf + 18680 21.949 * * [simplify]: Extracting #7: cost 0 inf + 22575 21.958 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 21.958 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ 1/2 (/ 1 2)))) 21.958 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 21.959 * * [simplify]: iters left: 4 (5 enodes) 21.962 * * [simplify]: iters left: 3 (18 enodes) 21.967 * * [simplify]: iters left: 2 (20 enodes) 21.970 * * [simplify]: Extracting #0: cost 1 inf + 0 21.970 * * [simplify]: Extracting #1: cost 0 inf + 1 21.970 * [simplify]: Simplified to 1 21.970 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 21.970 * * * * [progress]: [ 5 / 458 ] simplifiying candidate # 21.971 * [simplify]: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 21.971 * * [simplify]: iters left: 6 (15 enodes) 21.976 * * [simplify]: iters left: 5 (60 enodes) 21.998 * * [simplify]: iters left: 4 (116 enodes) 22.027 * * [simplify]: iters left: 3 (233 enodes) 22.142 * * [simplify]: Extracting #0: cost 1 inf + 0 22.142 * * [simplify]: Extracting #1: cost 3 inf + 0 22.142 * * [simplify]: Extracting #2: cost 32 inf + 0 22.143 * * [simplify]: Extracting #3: cost 83 inf + 2 22.144 * * [simplify]: Extracting #4: cost 107 inf + 86 22.145 * * [simplify]: Extracting #5: cost 80 inf + 3880 22.148 * * [simplify]: Extracting #6: cost 57 inf + 7022 22.156 * * [simplify]: Extracting #7: cost 11 inf + 19448 22.169 * * [simplify]: Extracting #8: cost 0 inf + 22250 22.181 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 22.181 * [simplify]: Simplified (2 1) to (λ (v) (pow (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (+ 1 1))) 22.182 * [simplify]: Simplifying (+ 1 1) 22.182 * * [simplify]: iters left: 2 (2 enodes) 22.184 * * [simplify]: iters left: 1 (9 enodes) 22.187 * * [simplify]: Extracting #0: cost 1 inf + 0 22.187 * * [simplify]: Extracting #1: cost 0 inf + 1 22.187 * [simplify]: Simplified to 2 22.187 * [simplify]: Simplified (2 2) to (λ (v) (pow (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 2)) 22.188 * * * * [progress]: [ 6 / 458 ] simplifiying candidate # 22.188 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 22.188 * * [simplify]: iters left: 6 (14 enodes) 22.197 * * [simplify]: iters left: 5 (57 enodes) 22.215 * * [simplify]: iters left: 4 (113 enodes) 22.238 * * [simplify]: iters left: 3 (238 enodes) 22.303 * * [simplify]: Extracting #0: cost 1 inf + 0 22.303 * * [simplify]: Extracting #1: cost 31 inf + 0 22.303 * * [simplify]: Extracting #2: cost 82 inf + 2 22.304 * * [simplify]: Extracting #3: cost 107 inf + 209 22.305 * * [simplify]: Extracting #4: cost 82 inf + 3474 22.306 * * [simplify]: Extracting #5: cost 63 inf + 6248 22.310 * * [simplify]: Extracting #6: cost 14 inf + 18680 22.317 * * [simplify]: Extracting #7: cost 0 inf + 22575 22.325 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 22.325 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) 1/2))) 22.325 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 22.325 * * [simplify]: iters left: 4 (5 enodes) 22.333 * * [simplify]: iters left: 3 (18 enodes) 22.338 * * [simplify]: iters left: 2 (20 enodes) 22.344 * * [simplify]: Extracting #0: cost 1 inf + 0 22.344 * * [simplify]: Extracting #1: cost 0 inf + 1 22.344 * [simplify]: Simplified to 1 22.344 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 22.344 * * * * [progress]: [ 7 / 458 ] simplifiying candidate # 22.344 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 22.345 * * [simplify]: iters left: 6 (14 enodes) 22.353 * * [simplify]: iters left: 5 (57 enodes) 22.375 * * [simplify]: iters left: 4 (113 enodes) 22.409 * * [simplify]: iters left: 3 (238 enodes) 22.498 * * [simplify]: Extracting #0: cost 1 inf + 0 22.498 * * [simplify]: Extracting #1: cost 31 inf + 0 22.499 * * [simplify]: Extracting #2: cost 82 inf + 2 22.499 * * [simplify]: Extracting #3: cost 107 inf + 209 22.500 * * [simplify]: Extracting #4: cost 82 inf + 3474 22.501 * * [simplify]: Extracting #5: cost 63 inf + 6248 22.505 * * [simplify]: Extracting #6: cost 14 inf + 18680 22.512 * * [simplify]: Extracting #7: cost 0 inf + 22575 22.522 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 22.522 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 22.523 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 22.523 * * [simplify]: iters left: 4 (4 enodes) 22.528 * * [simplify]: iters left: 3 (15 enodes) 22.532 * * [simplify]: iters left: 2 (17 enodes) 22.535 * * [simplify]: Extracting #0: cost 1 inf + 0 22.535 * * [simplify]: Extracting #1: cost 0 inf + 1 22.535 * [simplify]: Simplified to 1 22.535 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 22.535 * * * * [progress]: [ 8 / 458 ] simplifiying candidate # 22.536 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 22.536 * * [simplify]: iters left: 6 (14 enodes) 22.541 * * [simplify]: iters left: 5 (57 enodes) 22.552 * * [simplify]: iters left: 4 (113 enodes) 22.585 * * [simplify]: iters left: 3 (238 enodes) 22.660 * * [simplify]: Extracting #0: cost 1 inf + 0 22.661 * * [simplify]: Extracting #1: cost 31 inf + 0 22.661 * * [simplify]: Extracting #2: cost 82 inf + 2 22.662 * * [simplify]: Extracting #3: cost 107 inf + 209 22.663 * * [simplify]: Extracting #4: cost 82 inf + 3474 22.666 * * [simplify]: Extracting #5: cost 63 inf + 6248 22.674 * * [simplify]: Extracting #6: cost 14 inf + 18680 22.683 * * [simplify]: Extracting #7: cost 0 inf + 22575 22.689 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 22.689 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 22.690 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 22.690 * * [simplify]: iters left: 4 (4 enodes) 22.693 * * [simplify]: iters left: 3 (15 enodes) 22.696 * * [simplify]: iters left: 2 (17 enodes) 22.699 * * [simplify]: Extracting #0: cost 1 inf + 0 22.699 * * [simplify]: Extracting #1: cost 0 inf + 1 22.699 * [simplify]: Simplified to 1 22.699 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 22.699 * * * * [progress]: [ 9 / 458 ] simplifiying candidate # 22.699 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 22.699 * * [simplify]: iters left: 6 (14 enodes) 22.704 * * [simplify]: iters left: 5 (57 enodes) 22.715 * * [simplify]: iters left: 4 (113 enodes) 22.749 * * [simplify]: iters left: 3 (238 enodes) 22.848 * * [simplify]: Extracting #0: cost 1 inf + 0 22.848 * * [simplify]: Extracting #1: cost 31 inf + 0 22.848 * * [simplify]: Extracting #2: cost 82 inf + 2 22.849 * * [simplify]: Extracting #3: cost 107 inf + 209 22.851 * * [simplify]: Extracting #4: cost 82 inf + 3474 22.853 * * [simplify]: Extracting #5: cost 63 inf + 6248 22.858 * * [simplify]: Extracting #6: cost 14 inf + 18680 22.865 * * [simplify]: Extracting #7: cost 0 inf + 22575 22.872 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 22.872 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 22.872 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 22.872 * * [simplify]: iters left: 4 (4 enodes) 22.875 * * [simplify]: iters left: 3 (15 enodes) 22.878 * * [simplify]: iters left: 2 (17 enodes) 22.881 * * [simplify]: Extracting #0: cost 1 inf + 0 22.881 * * [simplify]: Extracting #1: cost 0 inf + 1 22.881 * [simplify]: Simplified to 1 22.881 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 22.881 * * * * [progress]: [ 10 / 458 ] simplifiying candidate # 22.881 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 22.881 * * [simplify]: iters left: 6 (14 enodes) 22.886 * * [simplify]: iters left: 5 (57 enodes) 22.898 * * [simplify]: iters left: 4 (113 enodes) 22.943 * * [simplify]: iters left: 3 (238 enodes) 23.031 * * [simplify]: Extracting #0: cost 1 inf + 0 23.032 * * [simplify]: Extracting #1: cost 31 inf + 0 23.032 * * [simplify]: Extracting #2: cost 82 inf + 2 23.033 * * [simplify]: Extracting #3: cost 107 inf + 209 23.034 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.036 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.042 * * [simplify]: Extracting #6: cost 14 inf + 18680 23.057 * * [simplify]: Extracting #7: cost 0 inf + 22575 23.069 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 23.070 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) 1/2))) 23.070 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 23.070 * * [simplify]: iters left: 4 (5 enodes) 23.078 * * [simplify]: iters left: 3 (18 enodes) 23.081 * * [simplify]: iters left: 2 (20 enodes) 23.085 * * [simplify]: Extracting #0: cost 1 inf + 0 23.085 * * [simplify]: Extracting #1: cost 0 inf + 1 23.085 * [simplify]: Simplified to 1 23.085 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 23.085 * * * * [progress]: [ 11 / 458 ] simplifiying candidate # 23.085 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 23.085 * * [simplify]: iters left: 6 (14 enodes) 23.090 * * [simplify]: iters left: 5 (57 enodes) 23.101 * * [simplify]: iters left: 4 (113 enodes) 23.125 * * [simplify]: iters left: 3 (238 enodes) 23.190 * * [simplify]: Extracting #0: cost 1 inf + 0 23.190 * * [simplify]: Extracting #1: cost 31 inf + 0 23.191 * * [simplify]: Extracting #2: cost 82 inf + 2 23.191 * * [simplify]: Extracting #3: cost 107 inf + 209 23.192 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.193 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.197 * * [simplify]: Extracting #6: cost 14 inf + 18680 23.204 * * [simplify]: Extracting #7: cost 0 inf + 22575 23.212 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 23.212 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 23.213 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 23.213 * * [simplify]: iters left: 4 (4 enodes) 23.215 * * [simplify]: iters left: 3 (15 enodes) 23.218 * * [simplify]: iters left: 2 (17 enodes) 23.221 * * [simplify]: Extracting #0: cost 1 inf + 0 23.221 * * [simplify]: Extracting #1: cost 0 inf + 1 23.221 * [simplify]: Simplified to 1 23.221 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 23.221 * * * * [progress]: [ 12 / 458 ] simplifiying candidate # 23.221 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 23.221 * * [simplify]: iters left: 6 (14 enodes) 23.228 * * [simplify]: iters left: 5 (57 enodes) 23.245 * * [simplify]: iters left: 4 (113 enodes) 23.269 * * [simplify]: iters left: 3 (238 enodes) 23.347 * * [simplify]: Extracting #0: cost 1 inf + 0 23.347 * * [simplify]: Extracting #1: cost 31 inf + 0 23.348 * * [simplify]: Extracting #2: cost 82 inf + 2 23.348 * * [simplify]: Extracting #3: cost 107 inf + 209 23.349 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.350 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.354 * * [simplify]: Extracting #6: cost 14 inf + 18680 23.360 * * [simplify]: Extracting #7: cost 0 inf + 22575 23.367 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 23.367 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 23.367 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 23.367 * * [simplify]: iters left: 4 (4 enodes) 23.370 * * [simplify]: iters left: 3 (15 enodes) 23.372 * * [simplify]: iters left: 2 (17 enodes) 23.375 * * [simplify]: Extracting #0: cost 1 inf + 0 23.375 * * [simplify]: Extracting #1: cost 0 inf + 1 23.375 * [simplify]: Simplified to 1 23.375 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 23.375 * * * * [progress]: [ 13 / 458 ] simplifiying candidate # 23.376 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 23.376 * * [simplify]: iters left: 6 (14 enodes) 23.386 * * [simplify]: iters left: 5 (57 enodes) 23.408 * * [simplify]: iters left: 4 (113 enodes) 23.452 * * [simplify]: iters left: 3 (238 enodes) 23.539 * * [simplify]: Extracting #0: cost 1 inf + 0 23.539 * * [simplify]: Extracting #1: cost 31 inf + 0 23.539 * * [simplify]: Extracting #2: cost 82 inf + 2 23.540 * * [simplify]: Extracting #3: cost 107 inf + 209 23.541 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.543 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.547 * * [simplify]: Extracting #6: cost 14 inf + 18680 23.559 * * [simplify]: Extracting #7: cost 0 inf + 22575 23.572 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 23.572 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 23.572 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 23.572 * * [simplify]: iters left: 4 (4 enodes) 23.575 * * [simplify]: iters left: 3 (15 enodes) 23.578 * * [simplify]: iters left: 2 (17 enodes) 23.581 * * [simplify]: Extracting #0: cost 1 inf + 0 23.581 * * [simplify]: Extracting #1: cost 0 inf + 1 23.581 * [simplify]: Simplified to 1 23.581 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 23.581 * * * * [progress]: [ 14 / 458 ] simplifiying candidate # 23.581 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 23.581 * * [simplify]: iters left: 6 (14 enodes) 23.586 * * [simplify]: iters left: 5 (57 enodes) 23.602 * * [simplify]: iters left: 4 (113 enodes) 23.640 * * [simplify]: iters left: 3 (238 enodes) 23.742 * * [simplify]: Extracting #0: cost 1 inf + 0 23.742 * * [simplify]: Extracting #1: cost 31 inf + 0 23.742 * * [simplify]: Extracting #2: cost 82 inf + 2 23.743 * * [simplify]: Extracting #3: cost 107 inf + 209 23.745 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.748 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.756 * * [simplify]: Extracting #6: cost 14 inf + 18680 23.769 * * [simplify]: Extracting #7: cost 0 inf + 22575 23.780 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 23.780 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) 1/2))) 23.781 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 23.781 * * [simplify]: iters left: 4 (5 enodes) 23.786 * * [simplify]: iters left: 3 (18 enodes) 23.789 * * [simplify]: iters left: 2 (20 enodes) 23.792 * * [simplify]: Extracting #0: cost 1 inf + 0 23.792 * * [simplify]: Extracting #1: cost 0 inf + 1 23.792 * [simplify]: Simplified to 1 23.792 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 23.792 * * * * [progress]: [ 15 / 458 ] simplifiying candidate # 23.793 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 23.793 * * [simplify]: iters left: 6 (14 enodes) 23.798 * * [simplify]: iters left: 5 (57 enodes) 23.809 * * [simplify]: iters left: 4 (113 enodes) 23.852 * * [simplify]: iters left: 3 (238 enodes) 23.976 * * [simplify]: Extracting #0: cost 1 inf + 0 23.977 * * [simplify]: Extracting #1: cost 31 inf + 0 23.977 * * [simplify]: Extracting #2: cost 82 inf + 2 23.978 * * [simplify]: Extracting #3: cost 107 inf + 209 23.980 * * [simplify]: Extracting #4: cost 82 inf + 3474 23.983 * * [simplify]: Extracting #5: cost 63 inf + 6248 23.990 * * [simplify]: Extracting #6: cost 14 inf + 18680 24.003 * * [simplify]: Extracting #7: cost 0 inf + 22575 24.017 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 24.017 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 24.017 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 24.018 * * [simplify]: iters left: 4 (4 enodes) 24.022 * * [simplify]: iters left: 3 (15 enodes) 24.027 * * [simplify]: iters left: 2 (17 enodes) 24.032 * * [simplify]: Extracting #0: cost 1 inf + 0 24.032 * * [simplify]: Extracting #1: cost 0 inf + 1 24.032 * [simplify]: Simplified to 1 24.032 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 24.032 * * * * [progress]: [ 16 / 458 ] simplifiying candidate # 24.033 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 24.033 * * [simplify]: iters left: 6 (14 enodes) 24.041 * * [simplify]: iters left: 5 (57 enodes) 24.062 * * [simplify]: iters left: 4 (113 enodes) 24.103 * * [simplify]: iters left: 3 (238 enodes) 24.187 * * [simplify]: Extracting #0: cost 1 inf + 0 24.187 * * [simplify]: Extracting #1: cost 31 inf + 0 24.187 * * [simplify]: Extracting #2: cost 82 inf + 2 24.188 * * [simplify]: Extracting #3: cost 107 inf + 209 24.189 * * [simplify]: Extracting #4: cost 82 inf + 3474 24.190 * * [simplify]: Extracting #5: cost 63 inf + 6248 24.194 * * [simplify]: Extracting #6: cost 14 inf + 18680 24.200 * * [simplify]: Extracting #7: cost 0 inf + 22575 24.207 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 24.207 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 24.207 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 24.207 * * [simplify]: iters left: 4 (4 enodes) 24.210 * * [simplify]: iters left: 3 (15 enodes) 24.213 * * [simplify]: iters left: 2 (17 enodes) 24.216 * * [simplify]: Extracting #0: cost 1 inf + 0 24.216 * * [simplify]: Extracting #1: cost 0 inf + 1 24.216 * [simplify]: Simplified to 1 24.216 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 24.216 * * * * [progress]: [ 17 / 458 ] simplifiying candidate # 24.216 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 24.216 * * [simplify]: iters left: 6 (14 enodes) 24.221 * * [simplify]: iters left: 5 (57 enodes) 24.233 * * [simplify]: iters left: 4 (113 enodes) 24.257 * * [simplify]: iters left: 3 (238 enodes) 24.348 * * [simplify]: Extracting #0: cost 1 inf + 0 24.348 * * [simplify]: Extracting #1: cost 31 inf + 0 24.349 * * [simplify]: Extracting #2: cost 82 inf + 2 24.350 * * [simplify]: Extracting #3: cost 107 inf + 209 24.351 * * [simplify]: Extracting #4: cost 82 inf + 3474 24.354 * * [simplify]: Extracting #5: cost 63 inf + 6248 24.365 * * [simplify]: Extracting #6: cost 14 inf + 18680 24.378 * * [simplify]: Extracting #7: cost 0 inf + 22575 24.390 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 24.390 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (+ (/ 1 2) (/ 1 2)))) 24.392 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 24.392 * * [simplify]: iters left: 4 (4 enodes) 24.397 * * [simplify]: iters left: 3 (15 enodes) 24.401 * * [simplify]: iters left: 2 (17 enodes) 24.406 * * [simplify]: Extracting #0: cost 1 inf + 0 24.407 * * [simplify]: Extracting #1: cost 0 inf + 1 24.407 * [simplify]: Simplified to 1 24.407 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 24.407 * * * * [progress]: [ 18 / 458 ] simplifiying candidate # 24.407 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 24.407 * * [simplify]: iters left: 6 (15 enodes) 24.416 * * [simplify]: iters left: 5 (67 enodes) 24.444 * * [simplify]: iters left: 4 (190 enodes) 24.577 * * [simplify]: Extracting #0: cost 1 inf + 0 24.577 * * [simplify]: Extracting #1: cost 45 inf + 0 24.578 * * [simplify]: Extracting #2: cost 163 inf + 1 24.579 * * [simplify]: Extracting #3: cost 207 inf + 44 24.582 * * [simplify]: Extracting #4: cost 173 inf + 3794 24.590 * * [simplify]: Extracting #5: cost 111 inf + 20273 24.615 * * [simplify]: Extracting #6: cost 13 inf + 53629 24.648 * * [simplify]: Extracting #7: cost 0 inf + 58569 24.676 * * [simplify]: Extracting #8: cost 0 inf + 58489 24.705 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 24.705 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 24.706 * * * * [progress]: [ 19 / 458 ] simplifiying candidate # 24.706 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 24.706 * * [simplify]: iters left: 6 (16 enodes) 24.716 * * [simplify]: iters left: 5 (61 enodes) 24.738 * * [simplify]: iters left: 4 (118 enodes) 24.784 * * [simplify]: iters left: 3 (235 enodes) 24.869 * * [simplify]: iters left: 2 (494 enodes) 25.101 * * [simplify]: Extracting #0: cost 1 inf + 0 25.101 * * [simplify]: Extracting #1: cost 35 inf + 0 25.101 * * [simplify]: Extracting #2: cost 87 inf + 2 25.103 * * [simplify]: Extracting #3: cost 117 inf + 210 25.105 * * [simplify]: Extracting #4: cost 97 inf + 3436 25.109 * * [simplify]: Extracting #5: cost 74 inf + 6740 25.119 * * [simplify]: Extracting #6: cost 24 inf + 19614 25.128 * * [simplify]: Extracting #7: cost 2 inf + 25944 25.138 * * [simplify]: Extracting #8: cost 0 inf + 26633 25.153 * [simplify]: Simplified to (* (sqrt (- 1 (* (* v v) 3))) (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))) 25.154 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (sqrt (- 1 (* (* v v) 3))) (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))) 1)) 25.154 * * * * [progress]: [ 20 / 458 ] simplifiying candidate # 25.154 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 25.154 * * [simplify]: iters left: 6 (15 enodes) 25.164 * * [simplify]: iters left: 5 (67 enodes) 25.192 * * [simplify]: iters left: 4 (190 enodes) 25.302 * * [simplify]: Extracting #0: cost 1 inf + 0 25.302 * * [simplify]: Extracting #1: cost 45 inf + 0 25.303 * * [simplify]: Extracting #2: cost 163 inf + 1 25.304 * * [simplify]: Extracting #3: cost 207 inf + 44 25.307 * * [simplify]: Extracting #4: cost 173 inf + 3794 25.315 * * [simplify]: Extracting #5: cost 111 inf + 20273 25.331 * * [simplify]: Extracting #6: cost 13 inf + 53629 25.345 * * [simplify]: Extracting #7: cost 0 inf + 58569 25.374 * * [simplify]: Extracting #8: cost 0 inf + 58489 25.407 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 25.407 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 25.407 * [simplify]: Simplifying (/ 1 2) 25.407 * * [simplify]: iters left: 2 (3 enodes) 25.412 * * [simplify]: iters left: 1 (12 enodes) 25.416 * * [simplify]: Extracting #0: cost 1 inf + 0 25.417 * * [simplify]: Extracting #1: cost 0 inf + 1 25.417 * [simplify]: Simplified to 1/2 25.417 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 25.417 * * * * [progress]: [ 21 / 458 ] simplifiying candidate # 25.417 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 25.417 * * [simplify]: iters left: 6 (15 enodes) 25.427 * * [simplify]: iters left: 5 (67 enodes) 25.456 * * [simplify]: iters left: 4 (190 enodes) 25.556 * * [simplify]: Extracting #0: cost 1 inf + 0 25.556 * * [simplify]: Extracting #1: cost 45 inf + 0 25.557 * * [simplify]: Extracting #2: cost 163 inf + 1 25.557 * * [simplify]: Extracting #3: cost 207 inf + 44 25.559 * * [simplify]: Extracting #4: cost 173 inf + 3794 25.563 * * [simplify]: Extracting #5: cost 111 inf + 20273 25.585 * * [simplify]: Extracting #6: cost 13 inf + 53629 25.608 * * [simplify]: Extracting #7: cost 0 inf + 58569 25.625 * * [simplify]: Extracting #8: cost 0 inf + 58489 25.640 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 25.640 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 25.641 * [simplify]: Simplifying (/ 1 2) 25.641 * * [simplify]: iters left: 2 (3 enodes) 25.643 * * [simplify]: iters left: 1 (12 enodes) 25.646 * * [simplify]: Extracting #0: cost 1 inf + 0 25.646 * * [simplify]: Extracting #1: cost 0 inf + 1 25.646 * [simplify]: Simplified to 1/2 25.646 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 25.646 * * * * [progress]: [ 22 / 458 ] simplifiying candidate # 25.646 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 25.646 * * [simplify]: iters left: 6 (15 enodes) 25.652 * * [simplify]: iters left: 5 (67 enodes) 25.680 * * [simplify]: iters left: 4 (190 enodes) 25.766 * * [simplify]: Extracting #0: cost 1 inf + 0 25.766 * * [simplify]: Extracting #1: cost 45 inf + 0 25.767 * * [simplify]: Extracting #2: cost 163 inf + 1 25.768 * * [simplify]: Extracting #3: cost 207 inf + 44 25.771 * * [simplify]: Extracting #4: cost 173 inf + 3794 25.779 * * [simplify]: Extracting #5: cost 111 inf + 20273 25.804 * * [simplify]: Extracting #6: cost 13 inf + 53629 25.828 * * [simplify]: Extracting #7: cost 0 inf + 58569 25.846 * * [simplify]: Extracting #8: cost 0 inf + 58489 25.862 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 25.862 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 25.862 * [simplify]: Simplifying (/ 1 2) 25.862 * * [simplify]: iters left: 2 (3 enodes) 25.866 * * [simplify]: iters left: 1 (12 enodes) 25.871 * * [simplify]: Extracting #0: cost 1 inf + 0 25.871 * * [simplify]: Extracting #1: cost 0 inf + 1 25.871 * [simplify]: Simplified to 1/2 25.871 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 25.871 * * * * [progress]: [ 23 / 458 ] simplifiying candidate # 25.871 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 25.872 * * [simplify]: iters left: 6 (15 enodes) 25.881 * * [simplify]: iters left: 5 (67 enodes) 25.903 * * [simplify]: iters left: 4 (190 enodes) 26.001 * * [simplify]: Extracting #0: cost 1 inf + 0 26.001 * * [simplify]: Extracting #1: cost 45 inf + 0 26.002 * * [simplify]: Extracting #2: cost 163 inf + 1 26.002 * * [simplify]: Extracting #3: cost 207 inf + 44 26.004 * * [simplify]: Extracting #4: cost 173 inf + 3794 26.008 * * [simplify]: Extracting #5: cost 111 inf + 20273 26.021 * * [simplify]: Extracting #6: cost 13 inf + 53629 26.044 * * [simplify]: Extracting #7: cost 0 inf + 58569 26.059 * * [simplify]: Extracting #8: cost 0 inf + 58489 26.084 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 26.084 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 26.084 * [simplify]: Simplifying (/ 1 2) 26.084 * * [simplify]: iters left: 2 (3 enodes) 26.088 * * [simplify]: iters left: 1 (12 enodes) 26.092 * * [simplify]: Extracting #0: cost 1 inf + 0 26.092 * * [simplify]: Extracting #1: cost 0 inf + 1 26.092 * [simplify]: Simplified to 1/2 26.092 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 26.093 * * * * [progress]: [ 24 / 458 ] simplifiying candidate # 26.093 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 26.093 * * [simplify]: iters left: 6 (15 enodes) 26.103 * * [simplify]: iters left: 5 (67 enodes) 26.131 * * [simplify]: iters left: 4 (190 enodes) 26.242 * * [simplify]: Extracting #0: cost 1 inf + 0 26.242 * * [simplify]: Extracting #1: cost 45 inf + 0 26.243 * * [simplify]: Extracting #2: cost 163 inf + 1 26.244 * * [simplify]: Extracting #3: cost 207 inf + 44 26.246 * * [simplify]: Extracting #4: cost 173 inf + 3794 26.256 * * [simplify]: Extracting #5: cost 111 inf + 20273 26.272 * * [simplify]: Extracting #6: cost 13 inf + 53629 26.287 * * [simplify]: Extracting #7: cost 0 inf + 58569 26.313 * * [simplify]: Extracting #8: cost 0 inf + 58489 26.343 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 26.343 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 26.344 * [simplify]: Simplifying (/ 1 2) 26.344 * * [simplify]: iters left: 2 (3 enodes) 26.347 * * [simplify]: iters left: 1 (12 enodes) 26.352 * * [simplify]: Extracting #0: cost 1 inf + 0 26.352 * * [simplify]: Extracting #1: cost 0 inf + 1 26.352 * [simplify]: Simplified to 1/2 26.352 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 26.352 * * * * [progress]: [ 25 / 458 ] simplifiying candidate # 26.353 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 26.353 * * [simplify]: iters left: 6 (15 enodes) 26.362 * * [simplify]: iters left: 5 (67 enodes) 26.381 * * [simplify]: iters left: 4 (190 enodes) 26.472 * * [simplify]: Extracting #0: cost 1 inf + 0 26.472 * * [simplify]: Extracting #1: cost 45 inf + 0 26.473 * * [simplify]: Extracting #2: cost 163 inf + 1 26.475 * * [simplify]: Extracting #3: cost 207 inf + 44 26.477 * * [simplify]: Extracting #4: cost 173 inf + 3794 26.485 * * [simplify]: Extracting #5: cost 111 inf + 20273 26.514 * * [simplify]: Extracting #6: cost 13 inf + 53629 26.542 * * [simplify]: Extracting #7: cost 0 inf + 58569 26.557 * * [simplify]: Extracting #8: cost 0 inf + 58489 26.571 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 26.571 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 26.572 * [simplify]: Simplifying (/ 1 2) 26.572 * * [simplify]: iters left: 2 (3 enodes) 26.574 * * [simplify]: iters left: 1 (12 enodes) 26.576 * * [simplify]: Extracting #0: cost 1 inf + 0 26.576 * * [simplify]: Extracting #1: cost 0 inf + 1 26.576 * [simplify]: Simplified to 1/2 26.576 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 26.577 * * * * [progress]: [ 26 / 458 ] simplifiying candidate # 26.577 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 26.577 * * [simplify]: iters left: 6 (15 enodes) 26.582 * * [simplify]: iters left: 5 (67 enodes) 26.599 * * [simplify]: iters left: 4 (190 enodes) 26.720 * * [simplify]: Extracting #0: cost 1 inf + 0 26.720 * * [simplify]: Extracting #1: cost 45 inf + 0 26.721 * * [simplify]: Extracting #2: cost 163 inf + 1 26.726 * * [simplify]: Extracting #3: cost 207 inf + 44 26.728 * * [simplify]: Extracting #4: cost 173 inf + 3794 26.733 * * [simplify]: Extracting #5: cost 111 inf + 20273 26.746 * * [simplify]: Extracting #6: cost 13 inf + 53629 26.763 * * [simplify]: Extracting #7: cost 0 inf + 58569 26.784 * * [simplify]: Extracting #8: cost 0 inf + 58489 26.799 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 26.799 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 26.799 * [simplify]: Simplifying (/ 1 2) 26.799 * * [simplify]: iters left: 2 (3 enodes) 26.802 * * [simplify]: iters left: 1 (12 enodes) 26.805 * * [simplify]: Extracting #0: cost 1 inf + 0 26.805 * * [simplify]: Extracting #1: cost 0 inf + 1 26.805 * [simplify]: Simplified to 1/2 26.805 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 26.805 * * * * [progress]: [ 27 / 458 ] simplifiying candidate # 26.806 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 26.806 * * [simplify]: iters left: 6 (15 enodes) 26.815 * * [simplify]: iters left: 5 (67 enodes) 26.834 * * [simplify]: iters left: 4 (190 enodes) 26.915 * * [simplify]: Extracting #0: cost 1 inf + 0 26.915 * * [simplify]: Extracting #1: cost 45 inf + 0 26.915 * * [simplify]: Extracting #2: cost 163 inf + 1 26.916 * * [simplify]: Extracting #3: cost 207 inf + 44 26.917 * * [simplify]: Extracting #4: cost 173 inf + 3794 26.924 * * [simplify]: Extracting #5: cost 111 inf + 20273 26.949 * * [simplify]: Extracting #6: cost 13 inf + 53629 26.978 * * [simplify]: Extracting #7: cost 0 inf + 58569 27.003 * * [simplify]: Extracting #8: cost 0 inf + 58489 27.018 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 27.018 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 27.018 * [simplify]: Simplifying (/ 1 2) 27.018 * * [simplify]: iters left: 2 (3 enodes) 27.020 * * [simplify]: iters left: 1 (12 enodes) 27.023 * * [simplify]: Extracting #0: cost 1 inf + 0 27.023 * * [simplify]: Extracting #1: cost 0 inf + 1 27.023 * [simplify]: Simplified to 1/2 27.023 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 27.023 * * * * [progress]: [ 28 / 458 ] simplifiying candidate # 27.023 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 27.023 * * [simplify]: iters left: 6 (15 enodes) 27.028 * * [simplify]: iters left: 5 (67 enodes) 27.047 * * [simplify]: iters left: 4 (190 enodes) 27.129 * * [simplify]: Extracting #0: cost 1 inf + 0 27.130 * * [simplify]: Extracting #1: cost 45 inf + 0 27.130 * * [simplify]: Extracting #2: cost 163 inf + 1 27.132 * * [simplify]: Extracting #3: cost 207 inf + 44 27.134 * * [simplify]: Extracting #4: cost 173 inf + 3794 27.143 * * [simplify]: Extracting #5: cost 111 inf + 20273 27.167 * * [simplify]: Extracting #6: cost 13 inf + 53629 27.192 * * [simplify]: Extracting #7: cost 0 inf + 58569 27.206 * * [simplify]: Extracting #8: cost 0 inf + 58489 27.221 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 27.221 * [simplify]: Simplified (2 1) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (/ 1 2))) 27.222 * [simplify]: Simplifying (/ 1 2) 27.222 * * [simplify]: iters left: 2 (3 enodes) 27.224 * * [simplify]: iters left: 1 (12 enodes) 27.229 * * [simplify]: Extracting #0: cost 1 inf + 0 27.229 * * [simplify]: Extracting #1: cost 0 inf + 1 27.229 * [simplify]: Simplified to 1/2 27.229 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 1/2)) 27.229 * * * * [progress]: [ 29 / 458 ] simplifiying candidate # 27.229 * * * * [progress]: [ 30 / 458 ] simplifiying candidate # 27.229 * [simplify]: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 27.229 * * [simplify]: iters left: 6 (15 enodes) 27.234 * * [simplify]: iters left: 5 (60 enodes) 27.246 * * [simplify]: iters left: 4 (116 enodes) 27.271 * * [simplify]: iters left: 3 (233 enodes) 27.349 * * [simplify]: Extracting #0: cost 1 inf + 0 27.349 * * [simplify]: Extracting #1: cost 3 inf + 0 27.349 * * [simplify]: Extracting #2: cost 32 inf + 0 27.350 * * [simplify]: Extracting #3: cost 83 inf + 2 27.350 * * [simplify]: Extracting #4: cost 107 inf + 86 27.352 * * [simplify]: Extracting #5: cost 80 inf + 3880 27.355 * * [simplify]: Extracting #6: cost 57 inf + 7022 27.363 * * [simplify]: Extracting #7: cost 11 inf + 19448 27.369 * * [simplify]: Extracting #8: cost 0 inf + 22250 27.376 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 27.376 * [simplify]: Simplified (2 1) to (λ (v) (pow (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (+ 1 1))) 27.376 * * * * [progress]: [ 31 / 458 ] simplifiying candidate # 27.376 * * * * [progress]: [ 32 / 458 ] simplifiying candidate # 27.376 * [simplify]: Simplifying (+ (log (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (log (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 27.376 * * [simplify]: iters left: 6 (17 enodes) 27.381 * * [simplify]: iters left: 5 (66 enodes) 27.394 * * [simplify]: iters left: 4 (122 enodes) 27.433 * * [simplify]: iters left: 3 (247 enodes) 27.533 * * [simplify]: Extracting #0: cost 1 inf + 0 27.533 * * [simplify]: Extracting #1: cost 3 inf + 0 27.533 * * [simplify]: Extracting #2: cost 5 inf + 0 27.533 * * [simplify]: Extracting #3: cost 7 inf + 0 27.533 * * [simplify]: Extracting #4: cost 33 inf + 0 27.533 * * [simplify]: Extracting #5: cost 84 inf + 2 27.534 * * [simplify]: Extracting #6: cost 108 inf + 371 27.535 * * [simplify]: Extracting #7: cost 83 inf + 3799 27.537 * * [simplify]: Extracting #8: cost 63 inf + 6696 27.546 * * [simplify]: Extracting #9: cost 16 inf + 20399 27.556 * * [simplify]: Extracting #10: cost 0 inf + 25425 27.563 * [simplify]: Simplified to (+ (log (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (log (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))) 27.563 * [simplify]: Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (log (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))))) 27.563 * * * * [progress]: [ 33 / 458 ] simplifiying candidate # 27.563 * * * * [progress]: [ 34 / 458 ] simplifiying candidate # 27.563 * * * * [progress]: [ 35 / 458 ] simplifiying candidate # 27.563 * [simplify]: Simplifying (* (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 27.563 * * [simplify]: iters left: 6 (18 enodes) 27.569 * * [simplify]: iters left: 5 (74 enodes) 27.598 * * [simplify]: iters left: 4 (185 enodes) 27.687 * * [simplify]: Extracting #0: cost 1 inf + 0 27.687 * * [simplify]: Extracting #1: cost 54 inf + 0 27.688 * * [simplify]: Extracting #2: cost 238 inf + 3 27.690 * * [simplify]: Extracting #3: cost 270 inf + 4 27.696 * * [simplify]: Extracting #4: cost 259 inf + 1437 27.702 * * [simplify]: Extracting #5: cost 206 inf + 13952 27.728 * * [simplify]: Extracting #6: cost 85 inf + 61580 27.776 * * [simplify]: Extracting #7: cost 8 inf + 99196 27.811 * * [simplify]: Extracting #8: cost 0 inf + 103556 27.849 * [simplify]: Simplified to (* (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))) (* (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))))) 27.849 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (* (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))) (* (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* v v) 3)))))))) 27.849 * * * * [progress]: [ 36 / 458 ] simplifiying candidate # 27.849 * * * * [progress]: [ 37 / 458 ] simplifiying candidate # 27.850 * * * * [progress]: [ 38 / 458 ] simplifiying candidate # 27.850 * [simplify]: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 27.850 * * [simplify]: iters left: 6 (15 enodes) 27.862 * * [simplify]: iters left: 5 (67 enodes) 27.890 * * [simplify]: iters left: 4 (190 enodes) 28.328 * * [simplify]: Extracting #0: cost 1 inf + 0 28.328 * * [simplify]: Extracting #1: cost 45 inf + 0 28.329 * * [simplify]: Extracting #2: cost 163 inf + 1 28.330 * * [simplify]: Extracting #3: cost 207 inf + 44 28.333 * * [simplify]: Extracting #4: cost 173 inf + 3794 28.341 * * [simplify]: Extracting #5: cost 111 inf + 20273 28.357 * * [simplify]: Extracting #6: cost 13 inf + 53629 28.372 * * [simplify]: Extracting #7: cost 0 inf + 58569 28.401 * * [simplify]: Extracting #8: cost 0 inf + 58489 28.435 * [simplify]: Simplified to (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))) 28.435 * [simplify]: Simplified (2 1) to (λ (v) (sqrt (* (- 1 (* (* v v) 3)) (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (/ (* (sqrt 2) (- 1 (* v v))) 4))))) 28.435 * * * * [progress]: [ 39 / 458 ] simplifiying candidate # 28.435 * * * * [progress]: [ 40 / 458 ] simplifiying candidate # 28.435 * [simplify]: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 28.435 * * [simplify]: iters left: 6 (12 enodes) 28.443 * * [simplify]: iters left: 5 (46 enodes) 28.461 * * [simplify]: iters left: 4 (72 enodes) 28.477 * * [simplify]: iters left: 3 (92 enodes) 28.491 * * [simplify]: Extracting #0: cost 1 inf + 0 28.491 * * [simplify]: Extracting #1: cost 8 inf + 0 28.491 * * [simplify]: Extracting #2: cost 14 inf + 1 28.492 * * [simplify]: Extracting #3: cost 17 inf + 2 28.492 * * [simplify]: Extracting #4: cost 22 inf + 249 28.492 * * [simplify]: Extracting #5: cost 20 inf + 457 28.492 * * [simplify]: Extracting #6: cost 11 inf + 992 28.492 * * [simplify]: Extracting #7: cost 9 inf + 1197 28.493 * * [simplify]: Extracting #8: cost 2 inf + 2583 28.494 * * [simplify]: Extracting #9: cost 0 inf + 3112 28.494 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* v v) -3))) (/ (sqrt 2) 4)) 28.494 * [simplify]: Simplified (2 1) to (λ (v) (* (* (sqrt (+ 1 (* (* v v) -3))) (/ (sqrt 2) 4)) (- 1 (* v v)))) 28.494 * [simplify]: Simplifying (- 1 (* v v)) 28.494 * * [simplify]: iters left: 4 (4 enodes) 28.497 * * [simplify]: iters left: 3 (16 enodes) 28.502 * * [simplify]: iters left: 2 (24 enodes) 28.510 * * [simplify]: iters left: 1 (26 enodes) 28.517 * * [simplify]: Extracting #0: cost 1 inf + 0 28.517 * * [simplify]: Extracting #1: cost 5 inf + 0 28.517 * * [simplify]: Extracting #2: cost 8 inf + 1 28.517 * * [simplify]: Extracting #3: cost 2 inf + 370 28.518 * * [simplify]: Extracting #4: cost 0 inf + 492 28.518 * [simplify]: Simplified to (- 1 (* v v)) 28.518 * [simplify]: Simplified (2 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 28.518 * * * * [progress]: [ 41 / 458 ] simplifiying candidate # 28.518 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 28.519 * * [simplify]: iters left: 6 (17 enodes) 28.530 * * [simplify]: iters left: 5 (79 enodes) 28.552 * * [simplify]: iters left: 4 (210 enodes) 28.645 * * [simplify]: Extracting #0: cost 1 inf + 0 28.645 * * [simplify]: Extracting #1: cost 12 inf + 0 28.646 * * [simplify]: Extracting #2: cost 56 inf + 0 28.646 * * [simplify]: Extracting #3: cost 113 inf + 43 28.646 * * [simplify]: Extracting #4: cost 165 inf + 335 28.648 * * [simplify]: Extracting #5: cost 160 inf + 6647 28.656 * * [simplify]: Extracting #6: cost 51 inf + 35084 28.665 * * [simplify]: Extracting #7: cost 2 inf + 48567 28.677 * * [simplify]: Extracting #8: cost 0 inf + 49174 28.687 * [simplify]: Simplified to (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) 28.687 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 28.687 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 28.687 * * [simplify]: iters left: 6 (20 enodes) 28.695 * * [simplify]: iters left: 5 (92 enodes) 28.736 * * [simplify]: iters left: 4 (247 enodes) 28.830 * * [simplify]: Extracting #0: cost 1 inf + 0 28.830 * * [simplify]: Extracting #1: cost 21 inf + 0 28.830 * * [simplify]: Extracting #2: cost 62 inf + 2 28.831 * * [simplify]: Extracting #3: cost 81 inf + 289 28.832 * * [simplify]: Extracting #4: cost 84 inf + 2035 28.833 * * [simplify]: Extracting #5: cost 68 inf + 5491 28.838 * * [simplify]: Extracting #6: cost 13 inf + 20458 28.854 * * [simplify]: Extracting #7: cost 0 inf + 24306 28.871 * * [simplify]: Extracting #8: cost 0 inf + 23946 28.887 * [simplify]: Simplified to (* (* (sqrt (+ (* 3 (+ (* v v) (* 3 (* (* v v) (* v v))))) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)) 28.888 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) (* (* (sqrt (+ (* 3 (+ (* v v) (* 3 (* (* v v) (* v v))))) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 28.888 * * * * [progress]: [ 42 / 458 ] simplifiying candidate # 28.888 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 28.889 * * [simplify]: iters left: 6 (22 enodes) 28.900 * * [simplify]: iters left: 5 (102 enodes) 28.923 * * [simplify]: iters left: 4 (247 enodes) 29.062 * * [simplify]: Extracting #0: cost 1 inf + 0 29.062 * * [simplify]: Extracting #1: cost 4 inf + 0 29.062 * * [simplify]: Extracting #2: cost 8 inf + 0 29.062 * * [simplify]: Extracting #3: cost 21 inf + 0 29.063 * * [simplify]: Extracting #4: cost 69 inf + 0 29.063 * * [simplify]: Extracting #5: cost 122 inf + 43 29.064 * * [simplify]: Extracting #6: cost 171 inf + 1000 29.071 * * [simplify]: Extracting #7: cost 131 inf + 19829 29.091 * * [simplify]: Extracting #8: cost 15 inf + 48790 29.117 * * [simplify]: Extracting #9: cost 1 inf + 52632 29.139 * * [simplify]: Extracting #10: cost 0 inf + 53276 29.161 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 29.161 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 29.162 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 29.162 * * [simplify]: iters left: 6 (23 enodes) 29.178 * * [simplify]: iters left: 5 (112 enodes) 29.212 * * [simplify]: iters left: 4 (299 enodes) 29.335 * * [simplify]: Extracting #0: cost 1 inf + 0 29.335 * * [simplify]: Extracting #1: cost 4 inf + 0 29.335 * * [simplify]: Extracting #2: cost 8 inf + 0 29.335 * * [simplify]: Extracting #3: cost 36 inf + 0 29.335 * * [simplify]: Extracting #4: cost 69 inf + 2 29.335 * * [simplify]: Extracting #5: cost 92 inf + 125 29.336 * * [simplify]: Extracting #6: cost 88 inf + 2483 29.338 * * [simplify]: Extracting #7: cost 74 inf + 5896 29.343 * * [simplify]: Extracting #8: cost 20 inf + 19343 29.351 * * [simplify]: Extracting #9: cost 2 inf + 26088 29.360 * * [simplify]: Extracting #10: cost 0 inf + 27136 29.369 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ 1 (* v v))))) 29.369 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ 1 (* v v))))))) 29.370 * * * * [progress]: [ 43 / 458 ] simplifiying candidate # 29.370 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 29.370 * * [simplify]: iters left: 6 (24 enodes) 29.378 * * [simplify]: iters left: 5 (112 enodes) 29.404 * * [simplify]: iters left: 4 (283 enodes) 29.548 * * [simplify]: Extracting #0: cost 1 inf + 0 29.548 * * [simplify]: Extracting #1: cost 4 inf + 0 29.548 * * [simplify]: Extracting #2: cost 8 inf + 0 29.549 * * [simplify]: Extracting #3: cost 21 inf + 0 29.549 * * [simplify]: Extracting #4: cost 88 inf + 0 29.550 * * [simplify]: Extracting #5: cost 167 inf + 43 29.551 * * [simplify]: Extracting #6: cost 234 inf + 497 29.557 * * [simplify]: Extracting #7: cost 193 inf + 20824 29.571 * * [simplify]: Extracting #8: cost 50 inf + 55044 29.584 * * [simplify]: Extracting #9: cost 1 inf + 69192 29.599 * * [simplify]: Extracting #10: cost 0 inf + 69917 29.613 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 29.613 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 29.613 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 29.614 * * [simplify]: iters left: 6 (25 enodes) 29.629 * * [simplify]: iters left: 5 (121 enodes) 29.684 * * [simplify]: iters left: 4 (315 enodes) 29.808 * * [simplify]: Extracting #0: cost 1 inf + 0 29.808 * * [simplify]: Extracting #1: cost 4 inf + 0 29.808 * * [simplify]: Extracting #2: cost 8 inf + 0 29.809 * * [simplify]: Extracting #3: cost 41 inf + 0 29.809 * * [simplify]: Extracting #4: cost 101 inf + 2 29.810 * * [simplify]: Extracting #5: cost 129 inf + 3 29.812 * * [simplify]: Extracting #6: cost 141 inf + 573 29.815 * * [simplify]: Extracting #7: cost 111 inf + 6219 29.831 * * [simplify]: Extracting #8: cost 33 inf + 25175 29.854 * * [simplify]: Extracting #9: cost 3 inf + 35009 29.879 * * [simplify]: Extracting #10: cost 0 inf + 36941 29.904 * [simplify]: Simplified to (* (sqrt (* 4 (+ (sqrt (+ 1 (* (* v v) 3))) (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* (* v v) 3))))))) (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 29.904 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* 4 (+ (sqrt (+ 1 (* (* v v) 3))) (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* (* v v) 3))))))) (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 29.904 * * * * [progress]: [ 44 / 458 ] simplifiying candidate # 29.905 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 29.905 * * [simplify]: iters left: 6 (26 enodes) 29.922 * * [simplify]: iters left: 5 (123 enodes) 29.955 * * [simplify]: iters left: 4 (295 enodes) 30.091 * * [simplify]: Extracting #0: cost 1 inf + 0 30.091 * * [simplify]: Extracting #1: cost 4 inf + 0 30.091 * * [simplify]: Extracting #2: cost 8 inf + 0 30.091 * * [simplify]: Extracting #3: cost 25 inf + 0 30.092 * * [simplify]: Extracting #4: cost 84 inf + 0 30.092 * * [simplify]: Extracting #5: cost 148 inf + 43 30.093 * * [simplify]: Extracting #6: cost 219 inf + 546 30.096 * * [simplify]: Extracting #7: cost 188 inf + 16694 30.105 * * [simplify]: Extracting #8: cost 38 inf + 53033 30.123 * * [simplify]: Extracting #9: cost 2 inf + 59958 30.143 * * [simplify]: Extracting #10: cost 0 inf + 61488 30.156 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2))))) 30.156 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 30.158 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 30.158 * * [simplify]: iters left: 6 (26 enodes) 30.169 * * [simplify]: iters left: 5 (125 enodes) 30.216 * * [simplify]: iters left: 4 (309 enodes) 30.373 * * [simplify]: Extracting #0: cost 1 inf + 0 30.373 * * [simplify]: Extracting #1: cost 4 inf + 0 30.373 * * [simplify]: Extracting #2: cost 8 inf + 0 30.373 * * [simplify]: Extracting #3: cost 34 inf + 0 30.374 * * [simplify]: Extracting #4: cost 79 inf + 2 30.375 * * [simplify]: Extracting #5: cost 101 inf + 614 30.378 * * [simplify]: Extracting #6: cost 91 inf + 4273 30.382 * * [simplify]: Extracting #7: cost 77 inf + 7526 30.394 * * [simplify]: Extracting #8: cost 11 inf + 26102 30.408 * * [simplify]: Extracting #9: cost 0 inf + 29741 30.420 * [simplify]: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (* (* v v) (+ 1 (* v v))) 1)) 4))) 30.420 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2))))) (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (* (* v v) (+ 1 (* v v))) 1)) 4))))) 30.420 * * * * [progress]: [ 45 / 458 ] simplifiying candidate # 30.420 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 30.421 * * [simplify]: iters left: 6 (22 enodes) 30.428 * * [simplify]: iters left: 5 (101 enodes) 30.469 * * [simplify]: iters left: 4 (247 enodes) 30.578 * * [simplify]: Extracting #0: cost 1 inf + 0 30.578 * * [simplify]: Extracting #1: cost 4 inf + 0 30.578 * * [simplify]: Extracting #2: cost 8 inf + 0 30.578 * * [simplify]: Extracting #3: cost 27 inf + 0 30.578 * * [simplify]: Extracting #4: cost 98 inf + 1 30.579 * * [simplify]: Extracting #5: cost 153 inf + 85 30.579 * * [simplify]: Extracting #6: cost 199 inf + 1290 30.581 * * [simplify]: Extracting #7: cost 191 inf + 8276 30.588 * * [simplify]: Extracting #8: cost 69 inf + 37314 30.600 * * [simplify]: Extracting #9: cost 2 inf + 64134 30.613 * * [simplify]: Extracting #10: cost 0 inf + 65103 30.629 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 30.629 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 30.630 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 30.630 * * [simplify]: iters left: 6 (22 enodes) 30.638 * * [simplify]: iters left: 5 (107 enodes) 30.663 * * [simplify]: iters left: 4 (278 enodes) 30.794 * * [simplify]: Extracting #0: cost 1 inf + 0 30.794 * * [simplify]: Extracting #1: cost 4 inf + 0 30.794 * * [simplify]: Extracting #2: cost 8 inf + 0 30.795 * * [simplify]: Extracting #3: cost 36 inf + 0 30.795 * * [simplify]: Extracting #4: cost 73 inf + 2 30.796 * * [simplify]: Extracting #5: cost 86 inf + 454 30.798 * * [simplify]: Extracting #6: cost 84 inf + 2808 30.805 * * [simplify]: Extracting #7: cost 67 inf + 6669 30.816 * * [simplify]: Extracting #8: cost 12 inf + 21799 30.833 * * [simplify]: Extracting #9: cost 1 inf + 25797 30.845 * * [simplify]: Extracting #10: cost 0 inf + 26401 30.854 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 30.854 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* -27 (* (* v v) (* (* v v) (* v v)))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 30.854 * * * * [progress]: [ 46 / 458 ] simplifiying candidate # 30.854 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 30.854 * * [simplify]: iters left: 6 (25 enodes) 30.865 * * [simplify]: iters left: 5 (113 enodes) 30.911 * * [simplify]: iters left: 4 (270 enodes) 31.030 * * [simplify]: Extracting #0: cost 1 inf + 0 31.030 * * [simplify]: Extracting #1: cost 4 inf + 0 31.030 * * [simplify]: Extracting #2: cost 8 inf + 0 31.030 * * [simplify]: Extracting #3: cost 31 inf + 0 31.031 * * [simplify]: Extracting #4: cost 100 inf + 1 31.031 * * [simplify]: Extracting #5: cost 149 inf + 331 31.032 * * [simplify]: Extracting #6: cost 198 inf + 957 31.038 * * [simplify]: Extracting #7: cost 170 inf + 18205 31.047 * * [simplify]: Extracting #8: cost 24 inf + 58830 31.069 * * [simplify]: Extracting #9: cost 2 inf + 60046 31.083 * * [simplify]: Extracting #10: cost 0 inf + 60715 31.096 * [simplify]: Simplified to (* (sqrt (* (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 31.096 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 31.097 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 31.097 * * [simplify]: iters left: 6 (23 enodes) 31.112 * * [simplify]: iters left: 5 (112 enodes) 31.140 * * [simplify]: iters left: 4 (280 enodes) 31.270 * * [simplify]: Extracting #0: cost 1 inf + 0 31.270 * * [simplify]: Extracting #1: cost 4 inf + 0 31.270 * * [simplify]: Extracting #2: cost 8 inf + 0 31.270 * * [simplify]: Extracting #3: cost 33 inf + 0 31.271 * * [simplify]: Extracting #4: cost 71 inf + 2 31.271 * * [simplify]: Extracting #5: cost 87 inf + 207 31.272 * * [simplify]: Extracting #6: cost 84 inf + 2686 31.274 * * [simplify]: Extracting #7: cost 66 inf + 6913 31.279 * * [simplify]: Extracting #8: cost 15 inf + 20310 31.294 * * [simplify]: Extracting #9: cost 2 inf + 25316 31.312 * * [simplify]: Extracting #10: cost 0 inf + 26323 31.321 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (+ (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))) (* (* v v) (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))))))) 31.321 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (+ (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))) (* (* v v) (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) 1) (* (* v v) 3))))))))) 31.321 * * * * [progress]: [ 47 / 458 ] simplifiying candidate # 31.322 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 31.322 * * [simplify]: iters left: 6 (26 enodes) 31.331 * * [simplify]: iters left: 5 (120 enodes) 31.363 * * [simplify]: iters left: 4 (305 enodes) 31.525 * * [simplify]: Extracting #0: cost 1 inf + 0 31.525 * * [simplify]: Extracting #1: cost 4 inf + 0 31.525 * * [simplify]: Extracting #2: cost 8 inf + 0 31.525 * * [simplify]: Extracting #3: cost 32 inf + 0 31.526 * * [simplify]: Extracting #4: cost 114 inf + 1 31.527 * * [simplify]: Extracting #5: cost 190 inf + 167 31.529 * * [simplify]: Extracting #6: cost 251 inf + 2289 31.535 * * [simplify]: Extracting #7: cost 199 inf + 26474 31.547 * * [simplify]: Extracting #8: cost 68 inf + 56430 31.563 * * [simplify]: Extracting #9: cost 2 inf + 77982 31.594 * * [simplify]: Extracting #10: cost 0 inf + 78789 31.610 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) 31.610 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 31.611 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 31.611 * * [simplify]: iters left: 6 (24 enodes) 31.626 * * [simplify]: iters left: 5 (115 enodes) 31.663 * * [simplify]: iters left: 4 (280 enodes) 31.755 * * [simplify]: Extracting #0: cost 1 inf + 0 31.756 * * [simplify]: Extracting #1: cost 4 inf + 0 31.756 * * [simplify]: Extracting #2: cost 8 inf + 0 31.756 * * [simplify]: Extracting #3: cost 38 inf + 0 31.756 * * [simplify]: Extracting #4: cost 87 inf + 2 31.757 * * [simplify]: Extracting #5: cost 104 inf + 655 31.759 * * [simplify]: Extracting #6: cost 98 inf + 3783 31.767 * * [simplify]: Extracting #7: cost 82 inf + 7281 31.778 * * [simplify]: Extracting #8: cost 23 inf + 22657 31.788 * * [simplify]: Extracting #9: cost 1 inf + 30534 31.797 * * [simplify]: Extracting #10: cost 0 inf + 31258 31.807 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (* (* v v) (+ 1 (* v v))) 1)))) 31.807 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))))) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (* (* v v) (+ 1 (* v v))) 1)))))) 31.808 * * * * [progress]: [ 48 / 458 ] simplifiying candidate # 31.808 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 31.808 * * [simplify]: iters left: 6 (28 enodes) 31.826 * * [simplify]: iters left: 5 (131 enodes) 31.862 * * [simplify]: iters left: 4 (315 enodes) 32.013 * * [simplify]: Extracting #0: cost 1 inf + 0 32.013 * * [simplify]: Extracting #1: cost 4 inf + 0 32.013 * * [simplify]: Extracting #2: cost 8 inf + 0 32.013 * * [simplify]: Extracting #3: cost 34 inf + 0 32.014 * * [simplify]: Extracting #4: cost 108 inf + 1 32.015 * * [simplify]: Extracting #5: cost 170 inf + 85 32.017 * * [simplify]: Extracting #6: cost 234 inf + 1654 32.023 * * [simplify]: Extracting #7: cost 183 inf + 24992 32.041 * * [simplify]: Extracting #8: cost 45 inf + 56961 32.068 * * [simplify]: Extracting #9: cost 3 inf + 66682 32.097 * * [simplify]: Extracting #10: cost 1 inf + 67681 32.129 * * [simplify]: Extracting #11: cost 0 inf + 68567 32.144 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (sqrt (* (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 32.144 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (sqrt (* (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 32.144 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 32.145 * * [simplify]: iters left: 6 (25 enodes) 32.153 * * [simplify]: iters left: 5 (119 enodes) 32.204 * * [simplify]: iters left: 4 (275 enodes) 32.314 * * [simplify]: Extracting #0: cost 1 inf + 0 32.314 * * [simplify]: Extracting #1: cost 4 inf + 0 32.314 * * [simplify]: Extracting #2: cost 8 inf + 0 32.314 * * [simplify]: Extracting #3: cost 35 inf + 0 32.315 * * [simplify]: Extracting #4: cost 80 inf + 2 32.316 * * [simplify]: Extracting #5: cost 100 inf + 126 32.318 * * [simplify]: Extracting #6: cost 97 inf + 2725 32.321 * * [simplify]: Extracting #7: cost 79 inf + 6673 32.333 * * [simplify]: Extracting #8: cost 9 inf + 25736 32.354 * * [simplify]: Extracting #9: cost 0 inf + 29127 32.366 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v)))) (sqrt (* (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4) (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1))))) 32.366 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (sqrt (* (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v)))) (sqrt (* (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4) (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1))))))) 32.366 * * * * [progress]: [ 49 / 458 ] simplifiying candidate # 32.367 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 32.367 * * [simplify]: iters left: 6 (22 enodes) 32.374 * * [simplify]: iters left: 5 (103 enodes) 32.401 * * [simplify]: iters left: 4 (263 enodes) 32.548 * * [simplify]: Extracting #0: cost 1 inf + 0 32.548 * * [simplify]: Extracting #1: cost 4 inf + 0 32.548 * * [simplify]: Extracting #2: cost 8 inf + 0 32.548 * * [simplify]: Extracting #3: cost 23 inf + 0 32.549 * * [simplify]: Extracting #4: cost 90 inf + 0 32.550 * * [simplify]: Extracting #5: cost 169 inf + 43 32.551 * * [simplify]: Extracting #6: cost 229 inf + 1001 32.556 * * [simplify]: Extracting #7: cost 199 inf + 14536 32.565 * * [simplify]: Extracting #8: cost 42 inf + 54942 32.581 * * [simplify]: Extracting #9: cost 0 inf + 70076 32.599 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ (* (* v v) -3) 1))))) 32.599 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ (* (* v v) -3) 1))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 32.600 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 32.600 * * [simplify]: iters left: 6 (22 enodes) 32.616 * * [simplify]: iters left: 5 (108 enodes) 32.642 * * [simplify]: iters left: 4 (278 enodes) 32.755 * * [simplify]: Extracting #0: cost 1 inf + 0 32.755 * * [simplify]: Extracting #1: cost 4 inf + 0 32.755 * * [simplify]: Extracting #2: cost 8 inf + 0 32.755 * * [simplify]: Extracting #3: cost 38 inf + 0 32.756 * * [simplify]: Extracting #4: cost 75 inf + 2 32.756 * * [simplify]: Extracting #5: cost 86 inf + 1185 32.757 * * [simplify]: Extracting #6: cost 77 inf + 4593 32.759 * * [simplify]: Extracting #7: cost 69 inf + 6832 32.767 * * [simplify]: Extracting #8: cost 14 inf + 21844 32.776 * * [simplify]: Extracting #9: cost 0 inf + 27053 32.793 * [simplify]: Simplified to (* (sqrt (+ (+ (* (* 4 (* v v)) (* v v)) (* 4 (* v v))) 4)) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (* (+ 1 (* v v)) (* v v)) 1)))) 32.793 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ (* (* v v) -3) 1))))) (* (sqrt (+ (+ (* (* 4 (* v v)) (* v v)) (* 4 (* v v))) 4)) (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4) (+ (* (+ 1 (* v v)) (* v v)) 1)))))) 32.794 * * * * [progress]: [ 50 / 458 ] simplifiying candidate # 32.794 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 32.794 * * [simplify]: iters left: 6 (25 enodes) 32.810 * * [simplify]: iters left: 5 (114 enodes) 32.836 * * [simplify]: iters left: 4 (275 enodes) 32.972 * * [simplify]: Extracting #0: cost 1 inf + 0 32.972 * * [simplify]: Extracting #1: cost 4 inf + 0 32.972 * * [simplify]: Extracting #2: cost 8 inf + 0 32.972 * * [simplify]: Extracting #3: cost 23 inf + 0 32.972 * * [simplify]: Extracting #4: cost 82 inf + 0 32.972 * * [simplify]: Extracting #5: cost 147 inf + 43 32.973 * * [simplify]: Extracting #6: cost 202 inf + 1820 32.977 * * [simplify]: Extracting #7: cost 151 inf + 21578 32.990 * * [simplify]: Extracting #8: cost 22 inf + 54296 33.008 * * [simplify]: Extracting #9: cost 3 inf + 59107 33.032 * * [simplify]: Extracting #10: cost 0 inf + 60599 33.049 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 33.050 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 33.050 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 33.050 * * [simplify]: iters left: 6 (23 enodes) 33.059 * * [simplify]: iters left: 5 (112 enodes) 33.094 * * [simplify]: iters left: 4 (276 enodes) 33.196 * * [simplify]: Extracting #0: cost 1 inf + 0 33.196 * * [simplify]: Extracting #1: cost 4 inf + 0 33.196 * * [simplify]: Extracting #2: cost 8 inf + 0 33.196 * * [simplify]: Extracting #3: cost 34 inf + 0 33.197 * * [simplify]: Extracting #4: cost 72 inf + 2 33.197 * * [simplify]: Extracting #5: cost 91 inf + 168 33.198 * * [simplify]: Extracting #6: cost 89 inf + 2286 33.200 * * [simplify]: Extracting #7: cost 68 inf + 6553 33.206 * * [simplify]: Extracting #8: cost 5 inf + 24519 33.221 * * [simplify]: Extracting #9: cost 0 inf + 26624 33.230 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (+ 4 (* 4 (* v v))))) 33.230 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (+ 4 (* 4 (* v v))))))) 33.230 * * * * [progress]: [ 51 / 458 ] simplifiying candidate # 33.231 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 33.231 * * [simplify]: iters left: 6 (24 enodes) 33.239 * * [simplify]: iters left: 5 (111 enodes) 33.274 * * [simplify]: iters left: 4 (285 enodes) 33.389 * * [simplify]: Extracting #0: cost 1 inf + 0 33.390 * * [simplify]: Extracting #1: cost 4 inf + 0 33.390 * * [simplify]: Extracting #2: cost 8 inf + 0 33.390 * * [simplify]: Extracting #3: cost 32 inf + 0 33.390 * * [simplify]: Extracting #4: cost 114 inf + 1 33.391 * * [simplify]: Extracting #5: cost 190 inf + 167 33.394 * * [simplify]: Extracting #6: cost 226 inf + 10054 33.406 * * [simplify]: Extracting #7: cost 150 inf + 39984 33.433 * * [simplify]: Extracting #8: cost 12 inf + 73409 33.462 * * [simplify]: Extracting #9: cost 0 inf + 77049 33.488 * * [simplify]: Extracting #10: cost 0 inf + 76798 33.503 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 33.503 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 33.504 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 33.504 * * [simplify]: iters left: 6 (21 enodes) 33.512 * * [simplify]: iters left: 5 (98 enodes) 33.551 * * [simplify]: iters left: 4 (252 enodes) 33.669 * * [simplify]: Extracting #0: cost 1 inf + 0 33.669 * * [simplify]: Extracting #1: cost 4 inf + 0 33.669 * * [simplify]: Extracting #2: cost 8 inf + 0 33.669 * * [simplify]: Extracting #3: cost 32 inf + 0 33.669 * * [simplify]: Extracting #4: cost 75 inf + 2 33.670 * * [simplify]: Extracting #5: cost 85 inf + 207 33.672 * * [simplify]: Extracting #6: cost 79 inf + 3053 33.675 * * [simplify]: Extracting #7: cost 72 inf + 5649 33.686 * * [simplify]: Extracting #8: cost 18 inf + 20012 33.695 * * [simplify]: Extracting #9: cost 1 inf + 25271 33.703 * * [simplify]: Extracting #10: cost 0 inf + 25194 33.712 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ (* v v) (* 3 (* (* v v) (* v v)))) 3) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))) 33.712 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (sqrt (+ (* (+ (* v v) (* 3 (* (* v v) (* v v)))) 3) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))))) 33.712 * * * * [progress]: [ 52 / 458 ] simplifiying candidate # 33.712 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 33.713 * * [simplify]: iters left: 6 (27 enodes) 33.722 * * [simplify]: iters left: 5 (122 enodes) 33.757 * * [simplify]: iters left: 4 (295 enodes) 33.846 * * [simplify]: Extracting #0: cost 1 inf + 0 33.846 * * [simplify]: Extracting #1: cost 4 inf + 0 33.846 * * [simplify]: Extracting #2: cost 8 inf + 0 33.846 * * [simplify]: Extracting #3: cost 34 inf + 0 33.846 * * [simplify]: Extracting #4: cost 108 inf + 1 33.847 * * [simplify]: Extracting #5: cost 170 inf + 126 33.849 * * [simplify]: Extracting #6: cost 222 inf + 2028 33.856 * * [simplify]: Extracting #7: cost 168 inf + 24693 33.877 * * [simplify]: Extracting #8: cost 39 inf + 56026 33.904 * * [simplify]: Extracting #9: cost 3 inf + 64552 33.930 * * [simplify]: Extracting #10: cost 0 inf + 66449 33.961 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) 33.961 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))))) 33.962 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) 33.962 * * [simplify]: iters left: 6 (22 enodes) 33.978 * * [simplify]: iters left: 5 (102 enodes) 34.023 * * [simplify]: iters left: 4 (254 enodes) 34.131 * * [simplify]: Extracting #0: cost 1 inf + 0 34.131 * * [simplify]: Extracting #1: cost 4 inf + 0 34.131 * * [simplify]: Extracting #2: cost 8 inf + 0 34.131 * * [simplify]: Extracting #3: cost 29 inf + 0 34.131 * * [simplify]: Extracting #4: cost 68 inf + 2 34.132 * * [simplify]: Extracting #5: cost 85 inf + 207 34.133 * * [simplify]: Extracting #6: cost 81 inf + 2729 34.134 * * [simplify]: Extracting #7: cost 66 inf + 6103 34.140 * * [simplify]: Extracting #8: cost 10 inf + 21594 34.149 * * [simplify]: Extracting #9: cost 0 inf + 25274 34.158 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 34.158 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 34.158 * * * * [progress]: [ 53 / 458 ] simplifiying candidate # 34.158 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 34.158 * * [simplify]: iters left: 6 (20 enodes) 34.175 * * [simplify]: iters left: 5 (96 enodes) 34.215 * * [simplify]: iters left: 4 (247 enodes) 34.329 * * [simplify]: Extracting #0: cost 1 inf + 0 34.329 * * [simplify]: Extracting #1: cost 4 inf + 0 34.329 * * [simplify]: Extracting #2: cost 8 inf + 0 34.329 * * [simplify]: Extracting #3: cost 21 inf + 0 34.329 * * [simplify]: Extracting #4: cost 75 inf + 0 34.330 * * [simplify]: Extracting #5: cost 127 inf + 654 34.333 * * [simplify]: Extracting #6: cost 153 inf + 5576 34.342 * * [simplify]: Extracting #7: cost 116 inf + 29012 34.363 * * [simplify]: Extracting #8: cost 22 inf + 52604 34.387 * * [simplify]: Extracting #9: cost 0 inf + 58369 34.399 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) 34.399 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 34.400 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 34.400 * * [simplify]: iters left: 6 (21 enodes) 34.410 * * [simplify]: iters left: 5 (98 enodes) 34.441 * * [simplify]: iters left: 4 (252 enodes) 34.562 * * [simplify]: Extracting #0: cost 1 inf + 0 34.563 * * [simplify]: Extracting #1: cost 4 inf + 0 34.563 * * [simplify]: Extracting #2: cost 8 inf + 0 34.563 * * [simplify]: Extracting #3: cost 27 inf + 0 34.563 * * [simplify]: Extracting #4: cost 65 inf + 2 34.563 * * [simplify]: Extracting #5: cost 85 inf + 207 34.564 * * [simplify]: Extracting #6: cost 79 inf + 3014 34.566 * * [simplify]: Extracting #7: cost 66 inf + 6504 34.572 * * [simplify]: Extracting #8: cost 14 inf + 20223 34.581 * * [simplify]: Extracting #9: cost 1 inf + 25073 34.591 * * [simplify]: Extracting #10: cost 0 inf + 25436 34.600 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4))) 34.600 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4))))) 34.600 * * * * [progress]: [ 54 / 458 ] simplifiying candidate # 34.601 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 34.601 * * [simplify]: iters left: 6 (25 enodes) 34.609 * * [simplify]: iters left: 5 (117 enodes) 34.659 * * [simplify]: iters left: 4 (295 enodes) 34.771 * * [simplify]: Extracting #0: cost 1 inf + 0 34.771 * * [simplify]: Extracting #1: cost 4 inf + 0 34.772 * * [simplify]: Extracting #2: cost 8 inf + 0 34.772 * * [simplify]: Extracting #3: cost 25 inf + 0 34.772 * * [simplify]: Extracting #4: cost 86 inf + 0 34.773 * * [simplify]: Extracting #5: cost 150 inf + 126 34.775 * * [simplify]: Extracting #6: cost 193 inf + 4638 34.782 * * [simplify]: Extracting #7: cost 155 inf + 24979 34.801 * * [simplify]: Extracting #8: cost 34 inf + 54375 34.825 * * [simplify]: Extracting #9: cost 3 inf + 59425 34.854 * * [simplify]: Extracting #10: cost 0 inf + 60707 34.878 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 34.878 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 34.879 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 34.879 * * [simplify]: iters left: 6 (24 enodes) 34.889 * * [simplify]: iters left: 5 (109 enodes) 34.925 * * [simplify]: iters left: 4 (252 enodes) 35.020 * * [simplify]: Extracting #0: cost 1 inf + 0 35.020 * * [simplify]: Extracting #1: cost 4 inf + 0 35.020 * * [simplify]: Extracting #2: cost 8 inf + 0 35.020 * * [simplify]: Extracting #3: cost 31 inf + 0 35.021 * * [simplify]: Extracting #4: cost 72 inf + 2 35.021 * * [simplify]: Extracting #5: cost 89 inf + 573 35.022 * * [simplify]: Extracting #6: cost 81 inf + 3987 35.024 * * [simplify]: Extracting #7: cost 70 inf + 6555 35.028 * * [simplify]: Extracting #8: cost 28 inf + 16419 35.035 * * [simplify]: Extracting #9: cost 2 inf + 25860 35.043 * * [simplify]: Extracting #10: cost 0 inf + 26950 35.059 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ (* (* v v) (+ (* (* v v) 9) 3)) 1)) (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)))) 35.059 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ (* (* v v) (+ (* (* v v) 9) 3)) 1)) (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)))))) 35.059 * * * * [progress]: [ 55 / 458 ] simplifiying candidate # 35.060 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 35.060 * * [simplify]: iters left: 6 (23 enodes) 35.068 * * [simplify]: iters left: 5 (107 enodes) 35.095 * * [simplify]: iters left: 4 (270 enodes) 35.190 * * [simplify]: Extracting #0: cost 1 inf + 0 35.190 * * [simplify]: Extracting #1: cost 4 inf + 0 35.191 * * [simplify]: Extracting #2: cost 8 inf + 0 35.191 * * [simplify]: Extracting #3: cost 31 inf + 0 35.191 * * [simplify]: Extracting #4: cost 102 inf + 1 35.192 * * [simplify]: Extracting #5: cost 156 inf + 373 35.195 * * [simplify]: Extracting #6: cost 175 inf + 6121 35.200 * * [simplify]: Extracting #7: cost 168 inf + 14082 35.214 * * [simplify]: Extracting #8: cost 62 inf + 43697 35.226 * * [simplify]: Extracting #9: cost 5 inf + 68546 35.244 * * [simplify]: Extracting #10: cost 0 inf + 65187 35.263 * * [simplify]: Extracting #11: cost 0 inf + 64256 35.281 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) 35.281 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 35.281 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 35.282 * * [simplify]: iters left: 6 (21 enodes) 35.289 * * [simplify]: iters left: 5 (98 enodes) 35.313 * * [simplify]: iters left: 4 (252 enodes) 35.445 * * [simplify]: Extracting #0: cost 1 inf + 0 35.445 * * [simplify]: Extracting #1: cost 4 inf + 0 35.445 * * [simplify]: Extracting #2: cost 8 inf + 0 35.445 * * [simplify]: Extracting #3: cost 28 inf + 0 35.445 * * [simplify]: Extracting #4: cost 71 inf + 2 35.446 * * [simplify]: Extracting #5: cost 104 inf + 207 35.448 * * [simplify]: Extracting #6: cost 84 inf + 3865 35.460 * * [simplify]: Extracting #7: cost 19 inf + 20084 35.468 * * [simplify]: Extracting #8: cost 1 inf + 25324 35.476 * * [simplify]: Extracting #9: cost 0 inf + 25275 35.484 * * [simplify]: Extracting #10: cost 0 inf + 25274 35.496 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))) 35.496 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))))) 35.496 * * * * [progress]: [ 56 / 458 ] simplifiying candidate # 35.497 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 35.497 * * [simplify]: iters left: 6 (27 enodes) 35.509 * * [simplify]: iters left: 5 (125 enodes) 35.540 * * [simplify]: iters left: 4 (315 enodes) 35.661 * * [simplify]: Extracting #0: cost 1 inf + 0 35.661 * * [simplify]: Extracting #1: cost 4 inf + 0 35.661 * * [simplify]: Extracting #2: cost 8 inf + 0 35.661 * * [simplify]: Extracting #3: cost 34 inf + 0 35.662 * * [simplify]: Extracting #4: cost 107 inf + 1 35.662 * * [simplify]: Extracting #5: cost 168 inf + 331 35.664 * * [simplify]: Extracting #6: cost 205 inf + 6862 35.671 * * [simplify]: Extracting #7: cost 145 inf + 30907 35.692 * * [simplify]: Extracting #8: cost 39 inf + 55358 35.718 * * [simplify]: Extracting #9: cost 4 inf + 64427 35.746 * * [simplify]: Extracting #10: cost 0 inf + 66847 35.774 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) 35.774 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 35.774 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 35.775 * * [simplify]: iters left: 6 (23 enodes) 35.783 * * [simplify]: iters left: 5 (105 enodes) 35.814 * * [simplify]: iters left: 4 (247 enodes) 35.900 * * [simplify]: Extracting #0: cost 1 inf + 0 35.900 * * [simplify]: Extracting #1: cost 4 inf + 0 35.900 * * [simplify]: Extracting #2: cost 8 inf + 0 35.900 * * [simplify]: Extracting #3: cost 31 inf + 0 35.900 * * [simplify]: Extracting #4: cost 71 inf + 2 35.901 * * [simplify]: Extracting #5: cost 92 inf + 125 35.903 * * [simplify]: Extracting #6: cost 84 inf + 3095 35.906 * * [simplify]: Extracting #7: cost 71 inf + 5861 35.917 * * [simplify]: Extracting #8: cost 9 inf + 22454 35.934 * * [simplify]: Extracting #9: cost 0 inf + 26165 35.951 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 35.951 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) (* (sqrt (* (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 35.952 * * * * [progress]: [ 57 / 458 ] simplifiying candidate # 35.952 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 35.952 * * [simplify]: iters left: 6 (23 enodes) 35.967 * * [simplify]: iters left: 5 (108 enodes) 35.998 * * [simplify]: iters left: 4 (274 enodes) 36.121 * * [simplify]: Extracting #0: cost 1 inf + 0 36.121 * * [simplify]: Extracting #1: cost 4 inf + 0 36.121 * * [simplify]: Extracting #2: cost 8 inf + 0 36.121 * * [simplify]: Extracting #3: cost 23 inf + 0 36.121 * * [simplify]: Extracting #4: cost 84 inf + 0 36.122 * * [simplify]: Extracting #5: cost 149 inf + 126 36.123 * * [simplify]: Extracting #6: cost 182 inf + 3950 36.127 * * [simplify]: Extracting #7: cost 142 inf + 23255 36.144 * * [simplify]: Extracting #8: cost 31 inf + 52035 36.166 * * [simplify]: Extracting #9: cost 3 inf + 57424 36.188 * * [simplify]: Extracting #10: cost 0 inf + 58836 36.210 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) 36.210 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)))) 36.211 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) 36.211 * * [simplify]: iters left: 6 (21 enodes) 36.225 * * [simplify]: iters left: 5 (99 enodes) 36.248 * * [simplify]: iters left: 4 (253 enodes) 36.361 * * [simplify]: Extracting #0: cost 1 inf + 0 36.361 * * [simplify]: Extracting #1: cost 4 inf + 0 36.361 * * [simplify]: Extracting #2: cost 5 inf + 1 36.361 * * [simplify]: Extracting #3: cost 24 inf + 1 36.361 * * [simplify]: Extracting #4: cost 64 inf + 3 36.361 * * [simplify]: Extracting #5: cost 85 inf + 127 36.362 * * [simplify]: Extracting #6: cost 85 inf + 2203 36.364 * * [simplify]: Extracting #7: cost 74 inf + 5045 36.375 * * [simplify]: Extracting #8: cost 14 inf + 21543 36.385 * * [simplify]: Extracting #9: cost 1 inf + 25042 36.393 * * [simplify]: Extracting #10: cost 0 inf + 25035 36.401 * [simplify]: Simplified to (* 2 (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 36.401 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* 2 (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 36.401 * * * * [progress]: [ 58 / 458 ] simplifiying candidate # 36.401 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 36.401 * * [simplify]: iters left: 6 (22 enodes) 36.409 * * [simplify]: iters left: 5 (102 enodes) 36.456 * * [simplify]: iters left: 4 (247 enodes) 36.538 * * [simplify]: Extracting #0: cost 1 inf + 0 36.538 * * [simplify]: Extracting #1: cost 4 inf + 0 36.538 * * [simplify]: Extracting #2: cost 8 inf + 0 36.539 * * [simplify]: Extracting #3: cost 21 inf + 0 36.539 * * [simplify]: Extracting #4: cost 69 inf + 0 36.539 * * [simplify]: Extracting #5: cost 123 inf + 43 36.540 * * [simplify]: Extracting #6: cost 174 inf + 375 36.545 * * [simplify]: Extracting #7: cost 131 inf + 23183 36.563 * * [simplify]: Extracting #8: cost 13 inf + 54231 36.576 * * [simplify]: Extracting #9: cost 0 inf + 53936 36.587 * * [simplify]: Extracting #10: cost 0 inf + 53095 36.598 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 36.598 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 36.599 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 36.599 * * [simplify]: iters left: 6 (23 enodes) 36.614 * * [simplify]: iters left: 5 (114 enodes) 36.658 * * [simplify]: iters left: 4 (301 enodes) 36.783 * * [simplify]: Extracting #0: cost 1 inf + 0 36.784 * * [simplify]: Extracting #1: cost 4 inf + 0 36.784 * * [simplify]: Extracting #2: cost 8 inf + 0 36.784 * * [simplify]: Extracting #3: cost 32 inf + 0 36.784 * * [simplify]: Extracting #4: cost 66 inf + 2 36.785 * * [simplify]: Extracting #5: cost 91 inf + 3 36.786 * * [simplify]: Extracting #6: cost 97 inf + 1024 36.789 * * [simplify]: Extracting #7: cost 73 inf + 5654 36.799 * * [simplify]: Extracting #8: cost 16 inf + 19948 36.816 * * [simplify]: Extracting #9: cost 1 inf + 25844 36.834 * * [simplify]: Extracting #10: cost 0 inf + 26528 36.855 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4) (+ (* v v) (+ 1 (* (* v v) (* v v))))))) 36.855 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4) (+ (* v v) (+ 1 (* (* v v) (* v v))))))))) 36.855 * * * * [progress]: [ 59 / 458 ] simplifiying candidate # 36.855 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 36.856 * * [simplify]: iters left: 6 (18 enodes) 36.862 * * [simplify]: iters left: 5 (77 enodes) 36.878 * * [simplify]: iters left: 4 (190 enodes) 36.949 * * [simplify]: Extracting #0: cost 1 inf + 0 36.950 * * [simplify]: Extracting #1: cost 12 inf + 0 36.950 * * [simplify]: Extracting #2: cost 46 inf + 0 36.950 * * [simplify]: Extracting #3: cost 66 inf + 167 36.950 * * [simplify]: Extracting #4: cost 117 inf + 536 36.952 * * [simplify]: Extracting #5: cost 119 inf + 7042 36.958 * * [simplify]: Extracting #6: cost 18 inf + 30685 36.966 * * [simplify]: Extracting #7: cost 1 inf + 34256 36.973 * * [simplify]: Extracting #8: cost 0 inf + 34385 36.986 * [simplify]: Simplified to (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2))) 36.987 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 36.987 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 36.987 * * [simplify]: iters left: 6 (17 enodes) 36.996 * * [simplify]: iters left: 5 (79 enodes) 37.014 * * [simplify]: iters left: 4 (202 enodes) 37.075 * * [simplify]: iters left: 3 (345 enodes) 37.213 * * [simplify]: iters left: 2 (471 enodes) 37.322 * * [simplify]: Extracting #0: cost 1 inf + 0 37.322 * * [simplify]: Extracting #1: cost 11 inf + 0 37.322 * * [simplify]: Extracting #2: cost 24 inf + 2 37.322 * * [simplify]: Extracting #3: cost 33 inf + 126 37.322 * * [simplify]: Extracting #4: cost 44 inf + 743 37.323 * * [simplify]: Extracting #5: cost 47 inf + 2253 37.325 * * [simplify]: Extracting #6: cost 25 inf + 6282 37.329 * * [simplify]: Extracting #7: cost 9 inf + 10895 37.333 * * [simplify]: Extracting #8: cost 1 inf + 12769 37.337 * * [simplify]: Extracting #9: cost 0 inf + 12941 37.343 * [simplify]: Simplified to (* (* (sqrt (+ (* (* v v) (+ (* 9 (* v v)) 3)) 1)) (+ 1 (* v v))) 4) 37.343 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2))) (* (* (sqrt (+ (* (* v v) (+ (* 9 (* v v)) 3)) 1)) (+ 1 (* v v))) 4))) 37.343 * * * * [progress]: [ 60 / 458 ] simplifiying candidate # 37.344 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 37.344 * * [simplify]: iters left: 6 (26 enodes) 37.361 * * [simplify]: iters left: 5 (123 enodes) 37.392 * * [simplify]: iters left: 4 (295 enodes) 37.504 * * [simplify]: Extracting #0: cost 1 inf + 0 37.504 * * [simplify]: Extracting #1: cost 4 inf + 0 37.504 * * [simplify]: Extracting #2: cost 8 inf + 0 37.504 * * [simplify]: Extracting #3: cost 25 inf + 0 37.504 * * [simplify]: Extracting #4: cost 84 inf + 0 37.505 * * [simplify]: Extracting #5: cost 148 inf + 43 37.506 * * [simplify]: Extracting #6: cost 221 inf + 294 37.512 * * [simplify]: Extracting #7: cost 191 inf + 13096 37.528 * * [simplify]: Extracting #8: cost 52 inf + 42255 37.552 * * [simplify]: Extracting #9: cost 3 inf + 59878 37.582 * * [simplify]: Extracting #10: cost 0 inf + 61530 37.597 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2))))) 37.597 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 37.598 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 37.598 * * [simplify]: iters left: 6 (26 enodes) 37.607 * * [simplify]: iters left: 5 (125 enodes) 37.637 * * [simplify]: iters left: 4 (309 enodes) 37.756 * * [simplify]: Extracting #0: cost 1 inf + 0 37.756 * * [simplify]: Extracting #1: cost 4 inf + 0 37.756 * * [simplify]: Extracting #2: cost 8 inf + 0 37.756 * * [simplify]: Extracting #3: cost 39 inf + 0 37.756 * * [simplify]: Extracting #4: cost 84 inf + 2 37.757 * * [simplify]: Extracting #5: cost 108 inf + 331 37.758 * * [simplify]: Extracting #6: cost 106 inf + 2730 37.760 * * [simplify]: Extracting #7: cost 88 inf + 6269 37.764 * * [simplify]: Extracting #8: cost 33 inf + 18804 37.772 * * [simplify]: Extracting #9: cost 0 inf + 29241 37.780 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* 4 (sqrt (+ 1 (* (* v v) 3))))))) 37.781 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (sqrt 2))))) (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* 4 (sqrt (+ 1 (* (* v v) 3))))))))) 37.781 * * * * [progress]: [ 61 / 458 ] simplifiying candidate # 37.781 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 37.781 * * [simplify]: iters left: 6 (24 enodes) 37.791 * * [simplify]: iters left: 5 (110 enodes) 37.835 * * [simplify]: iters left: 4 (263 enodes) 37.949 * * [simplify]: Extracting #0: cost 1 inf + 0 37.949 * * [simplify]: Extracting #1: cost 4 inf + 0 37.949 * * [simplify]: Extracting #2: cost 8 inf + 0 37.949 * * [simplify]: Extracting #3: cost 21 inf + 0 37.949 * * [simplify]: Extracting #4: cost 70 inf + 0 37.950 * * [simplify]: Extracting #5: cost 102 inf + 288 37.950 * * [simplify]: Extracting #6: cost 158 inf + 1953 37.953 * * [simplify]: Extracting #7: cost 153 inf + 8364 37.962 * * [simplify]: Extracting #8: cost 68 inf + 24807 37.977 * * [simplify]: Extracting #9: cost 4 inf + 45324 37.996 * * [simplify]: Extracting #10: cost 0 inf + 46918 38.007 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (sqrt 2))))) 38.007 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 38.007 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 38.007 * * [simplify]: iters left: 6 (22 enodes) 38.015 * * [simplify]: iters left: 5 (108 enodes) 38.043 * * [simplify]: iters left: 4 (250 enodes) 38.114 * * [simplify]: iters left: 3 (415 enodes) 38.306 * * [simplify]: Extracting #0: cost 1 inf + 0 38.306 * * [simplify]: Extracting #1: cost 4 inf + 0 38.306 * * [simplify]: Extracting #2: cost 8 inf + 0 38.306 * * [simplify]: Extracting #3: cost 24 inf + 0 38.306 * * [simplify]: Extracting #4: cost 44 inf + 2 38.307 * * [simplify]: Extracting #5: cost 58 inf + 126 38.307 * * [simplify]: Extracting #6: cost 77 inf + 990 38.308 * * [simplify]: Extracting #7: cost 77 inf + 2297 38.312 * * [simplify]: Extracting #8: cost 25 inf + 14864 38.318 * * [simplify]: Extracting #9: cost 3 inf + 18322 38.329 * * [simplify]: Extracting #10: cost 0 inf + 19332 38.340 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* (* v v) 4)))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) 4))) 38.340 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (sqrt 2))))) (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* (* v v) 4)))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) 4))))) 38.340 * * * * [progress]: [ 62 / 458 ] simplifiying candidate # 38.341 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 38.341 * * [simplify]: iters left: 6 (25 enodes) 38.349 * * [simplify]: iters left: 5 (113 enodes) 38.383 * * [simplify]: iters left: 4 (270 enodes) 38.535 * * [simplify]: Extracting #0: cost 1 inf + 0 38.535 * * [simplify]: Extracting #1: cost 4 inf + 0 38.535 * * [simplify]: Extracting #2: cost 8 inf + 0 38.536 * * [simplify]: Extracting #3: cost 33 inf + 0 38.536 * * [simplify]: Extracting #4: cost 104 inf + 1 38.537 * * [simplify]: Extracting #5: cost 151 inf + 495 38.539 * * [simplify]: Extracting #6: cost 204 inf + 1161 38.544 * * [simplify]: Extracting #7: cost 162 inf + 23443 38.564 * * [simplify]: Extracting #8: cost 29 inf + 60642 38.581 * * [simplify]: Extracting #9: cost 2 inf + 63695 38.596 * * [simplify]: Extracting #10: cost 0 inf + 64034 38.625 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)))))) 38.625 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 38.626 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 38.626 * * [simplify]: iters left: 6 (23 enodes) 38.641 * * [simplify]: iters left: 5 (112 enodes) 38.677 * * [simplify]: iters left: 4 (272 enodes) 38.798 * * [simplify]: Extracting #0: cost 1 inf + 0 38.798 * * [simplify]: Extracting #1: cost 4 inf + 0 38.798 * * [simplify]: Extracting #2: cost 8 inf + 0 38.798 * * [simplify]: Extracting #3: cost 29 inf + 0 38.798 * * [simplify]: Extracting #4: cost 52 inf + 2 38.799 * * [simplify]: Extracting #5: cost 67 inf + 329 38.799 * * [simplify]: Extracting #6: cost 68 inf + 1917 38.801 * * [simplify]: Extracting #7: cost 60 inf + 4317 38.804 * * [simplify]: Extracting #8: cost 12 inf + 15374 38.811 * * [simplify]: Extracting #9: cost 2 inf + 19088 38.820 * * [simplify]: Extracting #10: cost 0 inf + 20175 38.832 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* 4 (* v v))))) (sqrt (+ (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* v v) (* (* v v) (* v v))))))) 38.832 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (sqrt 2)))))) (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* 4 (* v v))))) (sqrt (+ (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* v v) (* (* v v) (* v v))))))))) 38.832 * * * * [progress]: [ 63 / 458 ] simplifiying candidate # 38.833 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 38.833 * * [simplify]: iters left: 6 (23 enodes) 38.841 * * [simplify]: iters left: 5 (99 enodes) 38.866 * * [simplify]: iters left: 4 (227 enodes) 38.958 * * [simplify]: Extracting #0: cost 1 inf + 0 38.958 * * [simplify]: Extracting #1: cost 4 inf + 0 38.958 * * [simplify]: Extracting #2: cost 8 inf + 0 38.958 * * [simplify]: Extracting #3: cost 31 inf + 0 38.958 * * [simplify]: Extracting #4: cost 84 inf + 1 38.959 * * [simplify]: Extracting #5: cost 101 inf + 845 38.961 * * [simplify]: Extracting #6: cost 137 inf + 3354 38.964 * * [simplify]: Extracting #7: cost 156 inf + 7869 38.976 * * [simplify]: Extracting #8: cost 53 inf + 30035 38.992 * * [simplify]: Extracting #9: cost 3 inf + 47039 39.004 * * [simplify]: Extracting #10: cost 0 inf + 48331 39.015 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)))) (sqrt (/ (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) 39.015 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)))) (sqrt (/ (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 39.016 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 39.016 * * [simplify]: iters left: 6 (19 enodes) 39.028 * * [simplify]: iters left: 5 (94 enodes) 39.072 * * [simplify]: iters left: 4 (220 enodes) 39.137 * * [simplify]: iters left: 3 (374 enodes) 39.277 * * [simplify]: iters left: 2 (473 enodes) 39.398 * * [simplify]: Extracting #0: cost 1 inf + 0 39.398 * * [simplify]: Extracting #1: cost 4 inf + 0 39.398 * * [simplify]: Extracting #2: cost 8 inf + 0 39.398 * * [simplify]: Extracting #3: cost 18 inf + 0 39.398 * * [simplify]: Extracting #4: cost 29 inf + 2 39.398 * * [simplify]: Extracting #5: cost 36 inf + 168 39.399 * * [simplify]: Extracting #6: cost 52 inf + 537 39.400 * * [simplify]: Extracting #7: cost 65 inf + 1109 39.402 * * [simplify]: Extracting #8: cost 42 inf + 4450 39.408 * * [simplify]: Extracting #9: cost 10 inf + 11469 39.417 * * [simplify]: Extracting #10: cost 3 inf + 13573 39.422 * * [simplify]: Extracting #11: cost 0 inf + 14984 39.426 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 1 (* v v))))) 39.426 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)))) (sqrt (/ (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 1 (* v v))))))) 39.426 * * * * [progress]: [ 64 / 458 ] simplifiying candidate # 39.427 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 39.427 * * [simplify]: iters left: 6 (28 enodes) 39.436 * * [simplify]: iters left: 5 (131 enodes) 39.474 * * [simplify]: iters left: 4 (315 enodes) 39.593 * * [simplify]: Extracting #0: cost 1 inf + 0 39.593 * * [simplify]: Extracting #1: cost 4 inf + 0 39.593 * * [simplify]: Extracting #2: cost 8 inf + 0 39.593 * * [simplify]: Extracting #3: cost 34 inf + 0 39.594 * * [simplify]: Extracting #4: cost 105 inf + 1 39.594 * * [simplify]: Extracting #5: cost 163 inf + 577 39.595 * * [simplify]: Extracting #6: cost 235 inf + 1633 39.600 * * [simplify]: Extracting #7: cost 197 inf + 19371 39.622 * * [simplify]: Extracting #8: cost 18 inf + 64748 39.650 * * [simplify]: Extracting #9: cost 0 inf + 68204 39.678 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))))) 39.678 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 39.678 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 39.679 * * [simplify]: iters left: 6 (25 enodes) 39.694 * * [simplify]: iters left: 5 (119 enodes) 39.734 * * [simplify]: iters left: 4 (271 enodes) 39.825 * * [simplify]: Extracting #0: cost 1 inf + 0 39.825 * * [simplify]: Extracting #1: cost 4 inf + 0 39.825 * * [simplify]: Extracting #2: cost 8 inf + 0 39.825 * * [simplify]: Extracting #3: cost 29 inf + 0 39.825 * * [simplify]: Extracting #4: cost 56 inf + 2 39.825 * * [simplify]: Extracting #5: cost 78 inf + 3 39.826 * * [simplify]: Extracting #6: cost 75 inf + 2081 39.828 * * [simplify]: Extracting #7: cost 39 inf + 11288 39.833 * * [simplify]: Extracting #8: cost 2 inf + 19348 39.840 * * [simplify]: Extracting #9: cost 0 inf + 20354 39.848 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (+ (* v v) (* (* v v) (* v v))) 1))) (sqrt (* (+ (* v v) 1) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)))) 39.848 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (+ (* v v) (* (* v v) (* v v))) 1))) (sqrt (* (+ (* v v) 1) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)))))) 39.848 * * * * [progress]: [ 65 / 458 ] simplifiying candidate # 39.849 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 39.849 * * [simplify]: iters left: 6 (26 enodes) 39.865 * * [simplify]: iters left: 5 (118 enodes) 39.895 * * [simplify]: iters left: 4 (285 enodes) 39.999 * * [simplify]: Extracting #0: cost 1 inf + 0 39.999 * * [simplify]: Extracting #1: cost 4 inf + 0 39.999 * * [simplify]: Extracting #2: cost 8 inf + 0 39.999 * * [simplify]: Extracting #3: cost 32 inf + 0 40.000 * * [simplify]: Extracting #4: cost 96 inf + 1 40.001 * * [simplify]: Extracting #5: cost 127 inf + 290 40.003 * * [simplify]: Extracting #6: cost 180 inf + 2852 40.009 * * [simplify]: Extracting #7: cost 160 inf + 18401 40.030 * * [simplify]: Extracting #8: cost 25 inf + 52514 40.045 * * [simplify]: Extracting #9: cost 2 inf + 54634 40.059 * * [simplify]: Extracting #10: cost 0 inf + 55511 40.080 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2))))) 40.080 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 40.081 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 40.081 * * [simplify]: iters left: 6 (21 enodes) 40.091 * * [simplify]: iters left: 5 (102 enodes) 40.117 * * [simplify]: iters left: 4 (223 enodes) 40.209 * * [simplify]: iters left: 3 (379 enodes) 40.371 * * [simplify]: Extracting #0: cost 1 inf + 0 40.371 * * [simplify]: Extracting #1: cost 4 inf + 0 40.371 * * [simplify]: Extracting #2: cost 8 inf + 0 40.371 * * [simplify]: Extracting #3: cost 22 inf + 0 40.371 * * [simplify]: Extracting #4: cost 38 inf + 2 40.372 * * [simplify]: Extracting #5: cost 50 inf + 86 40.373 * * [simplify]: Extracting #6: cost 71 inf + 703 40.374 * * [simplify]: Extracting #7: cost 68 inf + 2579 40.380 * * [simplify]: Extracting #8: cost 26 inf + 11817 40.390 * * [simplify]: Extracting #9: cost 8 inf + 14544 40.400 * * [simplify]: Extracting #10: cost 1 inf + 16455 40.411 * * [simplify]: Extracting #11: cost 0 inf + 17019 40.421 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 40.421 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 40.422 * * * * [progress]: [ 66 / 458 ] simplifiying candidate # 40.422 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 40.422 * * [simplify]: iters left: 6 (25 enodes) 40.437 * * [simplify]: iters left: 5 (114 enodes) 40.467 * * [simplify]: iters left: 4 (275 enodes) 40.602 * * [simplify]: Extracting #0: cost 1 inf + 0 40.602 * * [simplify]: Extracting #1: cost 4 inf + 0 40.602 * * [simplify]: Extracting #2: cost 8 inf + 0 40.602 * * [simplify]: Extracting #3: cost 25 inf + 0 40.602 * * [simplify]: Extracting #4: cost 84 inf + 0 40.603 * * [simplify]: Extracting #5: cost 149 inf + 43 40.603 * * [simplify]: Extracting #6: cost 206 inf + 800 40.606 * * [simplify]: Extracting #7: cost 177 inf + 17793 40.614 * * [simplify]: Extracting #8: cost 23 inf + 52456 40.631 * * [simplify]: Extracting #9: cost 2 inf + 58306 40.654 * * [simplify]: Extracting #10: cost 0 inf + 59555 40.677 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))) 40.677 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 40.678 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 40.678 * * [simplify]: iters left: 6 (23 enodes) 40.690 * * [simplify]: iters left: 5 (112 enodes) 40.716 * * [simplify]: iters left: 4 (272 enodes) 40.831 * * [simplify]: iters left: 3 (492 enodes) 40.976 * * [simplify]: Extracting #0: cost 1 inf + 0 40.976 * * [simplify]: Extracting #1: cost 4 inf + 0 40.976 * * [simplify]: Extracting #2: cost 8 inf + 0 40.976 * * [simplify]: Extracting #3: cost 23 inf + 0 40.976 * * [simplify]: Extracting #4: cost 50 inf + 2 40.976 * * [simplify]: Extracting #5: cost 65 inf + 250 40.977 * * [simplify]: Extracting #6: cost 63 inf + 2852 40.979 * * [simplify]: Extracting #7: cost 46 inf + 6439 40.984 * * [simplify]: Extracting #8: cost 7 inf + 14866 40.989 * * [simplify]: Extracting #9: cost 0 inf + 16886 40.995 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* 4 (* v v))))) (sqrt (+ 4 (* (+ 4 (* 4 (* v v))) (* v v))))) 40.995 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ 4 (* 4 (* v v))))) (sqrt (+ 4 (* (+ 4 (* 4 (* v v))) (* v v))))))) 40.995 * * * * [progress]: [ 67 / 458 ] simplifiying candidate # 40.996 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 40.996 * * [simplify]: iters left: 6 (23 enodes) 41.003 * * [simplify]: iters left: 5 (101 enodes) 41.028 * * [simplify]: iters left: 4 (242 enodes) 41.091 * * [simplify]: Extracting #0: cost 1 inf + 0 41.091 * * [simplify]: Extracting #1: cost 4 inf + 0 41.091 * * [simplify]: Extracting #2: cost 8 inf + 0 41.091 * * [simplify]: Extracting #3: cost 21 inf + 0 41.094 * * [simplify]: Extracting #4: cost 70 inf + 0 41.094 * * [simplify]: Extracting #5: cost 103 inf + 167 41.095 * * [simplify]: Extracting #6: cost 145 inf + 2004 41.097 * * [simplify]: Extracting #7: cost 144 inf + 9744 41.104 * * [simplify]: Extracting #8: cost 45 inf + 31448 41.113 * * [simplify]: Extracting #9: cost 1 inf + 45276 41.123 * * [simplify]: Extracting #10: cost 0 inf + 45529 41.138 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) 41.138 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))))) 41.139 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) 41.139 * * [simplify]: iters left: 6 (19 enodes) 41.150 * * [simplify]: iters left: 5 (95 enodes) 41.171 * * [simplify]: iters left: 4 (219 enodes) 41.223 * * [simplify]: iters left: 3 (339 enodes) 41.380 * * [simplify]: iters left: 2 (463 enodes) 41.490 * * [simplify]: Extracting #0: cost 1 inf + 0 41.490 * * [simplify]: Extracting #1: cost 4 inf + 0 41.490 * * [simplify]: Extracting #2: cost 8 inf + 0 41.490 * * [simplify]: Extracting #3: cost 18 inf + 0 41.490 * * [simplify]: Extracting #4: cost 29 inf + 2 41.490 * * [simplify]: Extracting #5: cost 36 inf + 208 41.491 * * [simplify]: Extracting #6: cost 48 inf + 741 41.491 * * [simplify]: Extracting #7: cost 55 inf + 2087 41.494 * * [simplify]: Extracting #8: cost 20 inf + 9246 41.498 * * [simplify]: Extracting #9: cost 11 inf + 12123 41.502 * * [simplify]: Extracting #10: cost 0 inf + 14600 41.506 * [simplify]: Simplified to (* (sqrt (* 4 (+ (* (* v v) (sqrt (+ (* (+ 3 (* (* v v) 9)) (* v v)) 1))) (sqrt (+ (* (+ 3 (* (* v v) 9)) (* v v)) 1))))) (sqrt (+ 4 (* (* v v) 4)))) 41.507 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (+ (* (* v v) (sqrt (+ (* (+ 3 (* (* v v) 9)) (* v v)) 1))) (sqrt (+ (* (+ 3 (* (* v v) 9)) (* v v)) 1))))) (sqrt (+ 4 (* (* v v) 4)))))) 41.507 * * * * [progress]: [ 68 / 458 ] simplifiying candidate # 41.507 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 41.507 * * [simplify]: iters left: 6 (27 enodes) 41.516 * * [simplify]: iters left: 5 (122 enodes) 41.554 * * [simplify]: iters left: 4 (295 enodes) 41.644 * * [simplify]: Extracting #0: cost 1 inf + 0 41.644 * * [simplify]: Extracting #1: cost 4 inf + 0 41.644 * * [simplify]: Extracting #2: cost 8 inf + 0 41.644 * * [simplify]: Extracting #3: cost 34 inf + 0 41.644 * * [simplify]: Extracting #4: cost 105 inf + 1 41.645 * * [simplify]: Extracting #5: cost 165 inf + 290 41.645 * * [simplify]: Extracting #6: cost 223 inf + 1120 41.649 * * [simplify]: Extracting #7: cost 165 inf + 22013 41.667 * * [simplify]: Extracting #8: cost 7 inf + 63563 41.693 * * [simplify]: Extracting #9: cost 0 inf + 66601 41.724 * * [simplify]: Extracting #10: cost 0 inf + 66088 41.743 * [simplify]: Simplified to (* (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* v v) -3))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2))))) 41.743 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* v v) -3))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 41.743 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 41.743 * * [simplify]: iters left: 6 (22 enodes) 41.751 * * [simplify]: iters left: 5 (102 enodes) 41.785 * * [simplify]: iters left: 4 (244 enodes) 41.873 * * [simplify]: iters left: 3 (406 enodes) 42.029 * * [simplify]: Extracting #0: cost 1 inf + 0 42.029 * * [simplify]: Extracting #1: cost 4 inf + 0 42.030 * * [simplify]: Extracting #2: cost 8 inf + 0 42.030 * * [simplify]: Extracting #3: cost 22 inf + 0 42.030 * * [simplify]: Extracting #4: cost 38 inf + 2 42.030 * * [simplify]: Extracting #5: cost 52 inf + 468 42.031 * * [simplify]: Extracting #6: cost 65 inf + 1594 42.034 * * [simplify]: Extracting #7: cost 37 inf + 5599 42.038 * * [simplify]: Extracting #8: cost 6 inf + 12238 42.043 * * [simplify]: Extracting #9: cost 1 inf + 13936 42.047 * * [simplify]: Extracting #10: cost 0 inf + 14540 42.052 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (+ (* v v) (+ 1 (* (* v v) (* v v)))))) 42.052 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* v (* v v)) (* v (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* v v) -3))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2))))) (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (+ (* v v) (+ 1 (* (* v v) (* v v)))))))) 42.053 * * * * [progress]: [ 69 / 458 ] simplifiying candidate # 42.053 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 42.053 * * [simplify]: iters left: 6 (25 enodes) 42.061 * * [simplify]: iters left: 5 (109 enodes) 42.084 * * [simplify]: iters left: 4 (264 enodes) 42.214 * * [simplify]: Extracting #0: cost 1 inf + 0 42.214 * * [simplify]: Extracting #1: cost 4 inf + 0 42.214 * * [simplify]: Extracting #2: cost 8 inf + 0 42.214 * * [simplify]: Extracting #3: cost 30 inf + 0 42.214 * * [simplify]: Extracting #4: cost 91 inf + 1 42.215 * * [simplify]: Extracting #5: cost 118 inf + 735 42.217 * * [simplify]: Extracting #6: cost 152 inf + 4244 42.225 * * [simplify]: Extracting #7: cost 141 inf + 16802 42.243 * * [simplify]: Extracting #8: cost 28 inf + 42004 42.269 * * [simplify]: Extracting #9: cost 2 inf + 50845 42.292 * * [simplify]: Extracting #10: cost 0 inf + 51903 42.315 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 42.315 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 42.315 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 42.316 * * [simplify]: iters left: 6 (18 enodes) 42.328 * * [simplify]: iters left: 5 (85 enodes) 42.365 * * [simplify]: iters left: 4 (207 enodes) 42.429 * * [simplify]: iters left: 3 (348 enodes) 42.553 * * [simplify]: iters left: 2 (465 enodes) 42.664 * * [simplify]: Extracting #0: cost 1 inf + 0 42.664 * * [simplify]: Extracting #1: cost 4 inf + 0 42.665 * * [simplify]: Extracting #2: cost 8 inf + 0 42.665 * * [simplify]: Extracting #3: cost 18 inf + 0 42.665 * * [simplify]: Extracting #4: cost 29 inf + 2 42.665 * * [simplify]: Extracting #5: cost 36 inf + 168 42.665 * * [simplify]: Extracting #6: cost 51 inf + 660 42.666 * * [simplify]: Extracting #7: cost 64 inf + 1232 42.667 * * [simplify]: Extracting #8: cost 38 inf + 4829 42.670 * * [simplify]: Extracting #9: cost 10 inf + 11461 42.674 * * [simplify]: Extracting #10: cost 0 inf + 14426 42.678 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))) 42.678 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))))) 42.679 * * * * [progress]: [ 70 / 458 ] simplifiying candidate # 42.679 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 42.679 * * [simplify]: iters left: 6 (21 enodes) 42.693 * * [simplify]: iters left: 5 (94 enodes) 42.716 * * [simplify]: iters left: 4 (226 enodes) 42.798 * * [simplify]: Extracting #0: cost 1 inf + 0 42.798 * * [simplify]: Extracting #1: cost 4 inf + 0 42.798 * * [simplify]: Extracting #2: cost 8 inf + 0 42.798 * * [simplify]: Extracting #3: cost 23 inf + 0 42.798 * * [simplify]: Extracting #4: cost 63 inf + 0 42.799 * * [simplify]: Extracting #5: cost 79 inf + 733 42.800 * * [simplify]: Extracting #6: cost 114 inf + 3289 42.801 * * [simplify]: Extracting #7: cost 142 inf + 5984 42.806 * * [simplify]: Extracting #8: cost 53 inf + 23077 42.821 * * [simplify]: Extracting #9: cost 7 inf + 37170 42.830 * * [simplify]: Extracting #10: cost 0 inf + 40210 42.842 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* v v))))) 42.842 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 42.842 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 42.842 * * [simplify]: iters left: 6 (18 enodes) 42.849 * * [simplify]: iters left: 5 (85 enodes) 42.884 * * [simplify]: iters left: 4 (207 enodes) 42.978 * * [simplify]: iters left: 3 (348 enodes) 43.090 * * [simplify]: iters left: 2 (465 enodes) 43.202 * * [simplify]: Extracting #0: cost 1 inf + 0 43.202 * * [simplify]: Extracting #1: cost 4 inf + 0 43.202 * * [simplify]: Extracting #2: cost 8 inf + 0 43.202 * * [simplify]: Extracting #3: cost 17 inf + 0 43.203 * * [simplify]: Extracting #4: cost 28 inf + 2 43.203 * * [simplify]: Extracting #5: cost 37 inf + 86 43.204 * * [simplify]: Extracting #6: cost 53 inf + 415 43.205 * * [simplify]: Extracting #7: cost 67 inf + 865 43.207 * * [simplify]: Extracting #8: cost 40 inf + 4585 43.213 * * [simplify]: Extracting #9: cost 13 inf + 10573 43.221 * * [simplify]: Extracting #10: cost 0 inf + 14910 43.230 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))) 43.230 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))))) 43.231 * * * * [progress]: [ 71 / 458 ] simplifiying candidate # 43.231 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 43.231 * * [simplify]: iters left: 6 (25 enodes) 43.247 * * [simplify]: iters left: 5 (115 enodes) 43.292 * * [simplify]: iters left: 4 (274 enodes) 43.371 * * [simplify]: Extracting #0: cost 1 inf + 0 43.371 * * [simplify]: Extracting #1: cost 4 inf + 0 43.371 * * [simplify]: Extracting #2: cost 8 inf + 0 43.371 * * [simplify]: Extracting #3: cost 23 inf + 0 43.371 * * [simplify]: Extracting #4: cost 72 inf + 0 43.372 * * [simplify]: Extracting #5: cost 99 inf + 410 43.373 * * [simplify]: Extracting #6: cost 151 inf + 2604 43.375 * * [simplify]: Extracting #7: cost 166 inf + 6715 43.380 * * [simplify]: Extracting #8: cost 74 inf + 23529 43.392 * * [simplify]: Extracting #9: cost 26 inf + 37276 43.401 * * [simplify]: Extracting #10: cost 5 inf + 43496 43.413 * * [simplify]: Extracting #11: cost 0 inf + 46077 43.433 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) 43.433 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 43.434 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 43.434 * * [simplify]: iters left: 6 (21 enodes) 43.448 * * [simplify]: iters left: 5 (96 enodes) 43.488 * * [simplify]: iters left: 4 (206 enodes) 43.558 * * [simplify]: iters left: 3 (346 enodes) 43.685 * * [simplify]: Extracting #0: cost 1 inf + 0 43.685 * * [simplify]: Extracting #1: cost 4 inf + 0 43.685 * * [simplify]: Extracting #2: cost 8 inf + 0 43.685 * * [simplify]: Extracting #3: cost 21 inf + 0 43.686 * * [simplify]: Extracting #4: cost 35 inf + 2 43.686 * * [simplify]: Extracting #5: cost 47 inf + 45 43.686 * * [simplify]: Extracting #6: cost 67 inf + 989 43.687 * * [simplify]: Extracting #7: cost 67 inf + 2744 43.690 * * [simplify]: Extracting #8: cost 20 inf + 11673 43.701 * * [simplify]: Extracting #9: cost 2 inf + 15805 43.709 * * [simplify]: Extracting #10: cost 0 inf + 16541 43.714 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 43.715 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 43.715 * * * * [progress]: [ 72 / 458 ] simplifiying candidate # 43.715 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 43.715 * * [simplify]: iters left: 6 (24 enodes) 43.724 * * [simplify]: iters left: 5 (105 enodes) 43.752 * * [simplify]: iters left: 4 (249 enodes) 43.853 * * [simplify]: Extracting #0: cost 1 inf + 0 43.853 * * [simplify]: Extracting #1: cost 4 inf + 0 43.854 * * [simplify]: Extracting #2: cost 8 inf + 0 43.854 * * [simplify]: Extracting #3: cost 31 inf + 0 43.854 * * [simplify]: Extracting #4: cost 90 inf + 1 43.855 * * [simplify]: Extracting #5: cost 107 inf + 674 43.857 * * [simplify]: Extracting #6: cost 137 inf + 3313 43.860 * * [simplify]: Extracting #7: cost 151 inf + 7609 43.871 * * [simplify]: Extracting #8: cost 63 inf + 26400 43.886 * * [simplify]: Extracting #9: cost 3 inf + 46661 43.897 * * [simplify]: Extracting #10: cost 0 inf + 48002 43.914 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) 43.914 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 43.915 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 43.915 * * [simplify]: iters left: 6 (18 enodes) 43.928 * * [simplify]: iters left: 5 (85 enodes) 43.965 * * [simplify]: iters left: 4 (207 enodes) 44.036 * * [simplify]: iters left: 3 (348 enodes) 44.167 * * [simplify]: iters left: 2 (465 enodes) 44.264 * * [simplify]: Extracting #0: cost 1 inf + 0 44.264 * * [simplify]: Extracting #1: cost 4 inf + 0 44.264 * * [simplify]: Extracting #2: cost 8 inf + 0 44.264 * * [simplify]: Extracting #3: cost 18 inf + 0 44.264 * * [simplify]: Extracting #4: cost 34 inf + 2 44.265 * * [simplify]: Extracting #5: cost 57 inf + 168 44.266 * * [simplify]: Extracting #6: cost 68 inf + 784 44.268 * * [simplify]: Extracting #7: cost 42 inf + 4422 44.275 * * [simplify]: Extracting #8: cost 14 inf + 10209 44.279 * * [simplify]: Extracting #9: cost 0 inf + 14748 44.284 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)))) 44.284 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)))))) 44.284 * * * * [progress]: [ 73 / 458 ] simplifiying candidate # 44.285 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 44.285 * * [simplify]: iters left: 6 (27 enodes) 44.294 * * [simplify]: iters left: 5 (123 enodes) 44.327 * * [simplify]: iters left: 4 (294 enodes) 44.440 * * [simplify]: Extracting #0: cost 1 inf + 0 44.440 * * [simplify]: Extracting #1: cost 4 inf + 0 44.440 * * [simplify]: Extracting #2: cost 8 inf + 0 44.440 * * [simplify]: Extracting #3: cost 34 inf + 0 44.440 * * [simplify]: Extracting #4: cost 95 inf + 1 44.441 * * [simplify]: Extracting #5: cost 117 inf + 823 44.442 * * [simplify]: Extracting #6: cost 169 inf + 3627 44.445 * * [simplify]: Extracting #7: cost 156 inf + 12545 44.453 * * [simplify]: Extracting #8: cost 36 inf + 38812 44.467 * * [simplify]: Extracting #9: cost 0 inf + 52377 44.479 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2))))) 44.479 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 44.480 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 44.480 * * [simplify]: iters left: 6 (20 enodes) 44.486 * * [simplify]: iters left: 5 (92 enodes) 44.511 * * [simplify]: iters left: 4 (203 enodes) 44.586 * * [simplify]: iters left: 3 (331 enodes) 44.680 * * [simplify]: iters left: 2 (479 enodes) 44.855 * * [simplify]: Extracting #0: cost 1 inf + 0 44.855 * * [simplify]: Extracting #1: cost 4 inf + 0 44.855 * * [simplify]: Extracting #2: cost 8 inf + 0 44.855 * * [simplify]: Extracting #3: cost 19 inf + 0 44.855 * * [simplify]: Extracting #4: cost 33 inf + 2 44.855 * * [simplify]: Extracting #5: cost 41 inf + 250 44.856 * * [simplify]: Extracting #6: cost 49 inf + 1030 44.857 * * [simplify]: Extracting #7: cost 37 inf + 6834 44.863 * * [simplify]: Extracting #8: cost 14 inf + 11133 44.872 * * [simplify]: Extracting #9: cost 2 inf + 14525 44.881 * * [simplify]: Extracting #10: cost 0 inf + 14990 44.889 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)))) 44.890 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (sqrt 2))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)))))) 44.890 * * * * [progress]: [ 74 / 458 ] simplifiying candidate # 44.891 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 44.891 * * [simplify]: iters left: 6 (24 enodes) 44.908 * * [simplify]: iters left: 5 (106 enodes) 44.935 * * [simplify]: iters left: 4 (253 enodes) 45.003 * * [simplify]: Extracting #0: cost 1 inf + 0 45.003 * * [simplify]: Extracting #1: cost 4 inf + 0 45.003 * * [simplify]: Extracting #2: cost 8 inf + 0 45.003 * * [simplify]: Extracting #3: cost 23 inf + 0 45.003 * * [simplify]: Extracting #4: cost 72 inf + 0 45.004 * * [simplify]: Extracting #5: cost 96 inf + 655 45.005 * * [simplify]: Extracting #6: cost 130 inf + 3999 45.008 * * [simplify]: Extracting #7: cost 112 inf + 24971 45.016 * * [simplify]: Extracting #8: cost 28 inf + 39121 45.025 * * [simplify]: Extracting #9: cost 1 inf + 44186 45.038 * * [simplify]: Extracting #10: cost 0 inf + 44479 45.057 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) 45.057 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt 4)))) 45.058 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt 4)) 45.058 * * [simplify]: iters left: 6 (18 enodes) 45.065 * * [simplify]: iters left: 5 (86 enodes) 45.088 * * [simplify]: iters left: 4 (208 enodes) 45.177 * * [simplify]: iters left: 3 (349 enodes) 45.305 * * [simplify]: iters left: 2 (463 enodes) 45.410 * * [simplify]: Extracting #0: cost 1 inf + 0 45.410 * * [simplify]: Extracting #1: cost 4 inf + 0 45.410 * * [simplify]: Extracting #2: cost 5 inf + 1 45.410 * * [simplify]: Extracting #3: cost 14 inf + 1 45.410 * * [simplify]: Extracting #4: cost 26 inf + 3 45.411 * * [simplify]: Extracting #5: cost 35 inf + 127 45.411 * * [simplify]: Extracting #6: cost 50 inf + 578 45.413 * * [simplify]: Extracting #7: cost 62 inf + 1192 45.415 * * [simplify]: Extracting #8: cost 35 inf + 4941 45.421 * * [simplify]: Extracting #9: cost 9 inf + 11350 45.428 * * [simplify]: Extracting #10: cost 1 inf + 13818 45.437 * * [simplify]: Extracting #11: cost 0 inf + 14101 45.445 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) 2) 45.445 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (sqrt 2))))) (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) (+ 1 (* v v))))) 2))) 45.446 * * * * [progress]: [ 75 / 458 ] simplifiying candidate # 45.446 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 45.446 * * [simplify]: iters left: 6 (24 enodes) 45.465 * * [simplify]: iters left: 5 (112 enodes) 45.501 * * [simplify]: iters left: 4 (283 enodes) 45.614 * * [simplify]: Extracting #0: cost 1 inf + 0 45.614 * * [simplify]: Extracting #1: cost 4 inf + 0 45.614 * * [simplify]: Extracting #2: cost 8 inf + 0 45.614 * * [simplify]: Extracting #3: cost 21 inf + 0 45.615 * * [simplify]: Extracting #4: cost 88 inf + 0 45.615 * * [simplify]: Extracting #5: cost 167 inf + 43 45.616 * * [simplify]: Extracting #6: cost 238 inf + 335 45.618 * * [simplify]: Extracting #7: cost 215 inf + 8851 45.627 * * [simplify]: Extracting #8: cost 79 inf + 38563 45.652 * * [simplify]: Extracting #9: cost 2 inf + 67855 45.675 * * [simplify]: Extracting #10: cost 0 inf + 69164 45.689 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (sqrt 2))))) 45.689 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 45.690 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 45.690 * * [simplify]: iters left: 6 (25 enodes) 45.700 * * [simplify]: iters left: 5 (121 enodes) 45.755 * * [simplify]: iters left: 4 (315 enodes) 45.888 * * [simplify]: Extracting #0: cost 1 inf + 0 45.888 * * [simplify]: Extracting #1: cost 4 inf + 0 45.888 * * [simplify]: Extracting #2: cost 8 inf + 0 45.888 * * [simplify]: Extracting #3: cost 45 inf + 0 45.889 * * [simplify]: Extracting #4: cost 103 inf + 2 45.890 * * [simplify]: Extracting #5: cost 131 inf + 3 45.891 * * [simplify]: Extracting #6: cost 138 inf + 1025 45.895 * * [simplify]: Extracting #7: cost 107 inf + 7238 45.902 * * [simplify]: Extracting #8: cost 43 inf + 22282 45.912 * * [simplify]: Extracting #9: cost 11 inf + 34131 45.925 * * [simplify]: Extracting #10: cost 0 inf + 37798 45.942 * * [simplify]: Extracting #11: cost 0 inf + 37547 45.955 * [simplify]: Simplified to (* (sqrt (* (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))) (sqrt (* 4 (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 1 (* (* v v) 3))))))) 45.955 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (sqrt 2))))) (* (sqrt (* (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))) (sqrt (* 4 (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 1 (* (* v v) 3))))))))) 45.955 * * * * [progress]: [ 76 / 458 ] simplifiying candidate # 45.956 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 45.956 * * [simplify]: iters left: 6 (26 enodes) 45.965 * * [simplify]: iters left: 5 (123 enodes) 46.001 * * [simplify]: iters left: 4 (295 enodes) 46.120 * * [simplify]: Extracting #0: cost 1 inf + 0 46.120 * * [simplify]: Extracting #1: cost 4 inf + 0 46.120 * * [simplify]: Extracting #2: cost 8 inf + 0 46.120 * * [simplify]: Extracting #3: cost 25 inf + 0 46.121 * * [simplify]: Extracting #4: cost 84 inf + 0 46.121 * * [simplify]: Extracting #5: cost 148 inf + 43 46.123 * * [simplify]: Extracting #6: cost 217 inf + 758 46.129 * * [simplify]: Extracting #7: cost 166 inf + 17589 46.148 * * [simplify]: Extracting #8: cost 32 inf + 48984 46.172 * * [simplify]: Extracting #9: cost 3 inf + 59271 46.195 * * [simplify]: Extracting #10: cost 0 inf + 60923 46.209 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 46.209 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 46.209 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 46.209 * * [simplify]: iters left: 6 (26 enodes) 46.219 * * [simplify]: iters left: 5 (125 enodes) 46.262 * * [simplify]: iters left: 4 (309 enodes) 46.365 * * [simplify]: Extracting #0: cost 1 inf + 0 46.365 * * [simplify]: Extracting #1: cost 4 inf + 0 46.365 * * [simplify]: Extracting #2: cost 8 inf + 0 46.365 * * [simplify]: Extracting #3: cost 38 inf + 0 46.366 * * [simplify]: Extracting #4: cost 83 inf + 2 46.366 * * [simplify]: Extracting #5: cost 107 inf + 289 46.367 * * [simplify]: Extracting #6: cost 95 inf + 4192 46.369 * * [simplify]: Extracting #7: cost 81 inf + 7768 46.374 * * [simplify]: Extracting #8: cost 25 inf + 20588 46.382 * * [simplify]: Extracting #9: cost 1 inf + 28965 46.390 * * [simplify]: Extracting #10: cost 0 inf + 28634 46.401 * * [simplify]: Extracting #11: cost 0 inf + 28593 46.410 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) (* (* v v) (* v v))) 1)))) (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1))))) 46.410 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) (* (* v v) (* v v))) 1)))) (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1))))))) 46.410 * * * * [progress]: [ 77 / 458 ] simplifiying candidate # 46.410 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 46.410 * * [simplify]: iters left: 6 (18 enodes) 46.417 * * [simplify]: iters left: 5 (78 enodes) 46.433 * * [simplify]: iters left: 4 (190 enodes) 46.482 * * [simplify]: Extracting #0: cost 1 inf + 0 46.482 * * [simplify]: Extracting #1: cost 12 inf + 0 46.482 * * [simplify]: Extracting #2: cost 56 inf + 0 46.482 * * [simplify]: Extracting #3: cost 112 inf + 43 46.483 * * [simplify]: Extracting #4: cost 133 inf + 718 46.485 * * [simplify]: Extracting #5: cost 100 inf + 9303 46.495 * * [simplify]: Extracting #6: cost 11 inf + 31104 46.508 * * [simplify]: Extracting #7: cost 1 inf + 34094 46.522 * * [simplify]: Extracting #8: cost 0 inf + 34578 46.536 * [simplify]: Simplified to (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) 46.536 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 46.537 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 46.537 * * [simplify]: iters left: 6 (17 enodes) 46.548 * * [simplify]: iters left: 5 (67 enodes) 46.563 * * [simplify]: iters left: 4 (156 enodes) 46.614 * * [simplify]: iters left: 3 (405 enodes) 46.835 * * [simplify]: Extracting #0: cost 1 inf + 0 46.835 * * [simplify]: Extracting #1: cost 30 inf + 0 46.836 * * [simplify]: Extracting #2: cost 88 inf + 2 46.837 * * [simplify]: Extracting #3: cost 131 inf + 288 46.839 * * [simplify]: Extracting #4: cost 83 inf + 7067 46.850 * * [simplify]: Extracting #5: cost 22 inf + 20250 46.866 * * [simplify]: Extracting #6: cost 2 inf + 26121 46.882 * * [simplify]: Extracting #7: cost 0 inf + 26969 46.899 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4) 46.899 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))) (* (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4))) 46.899 * * * * [progress]: [ 78 / 458 ] simplifiying candidate # 46.900 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 46.900 * * [simplify]: iters left: 6 (22 enodes) 46.913 * * [simplify]: iters left: 5 (101 enodes) 46.958 * * [simplify]: iters left: 4 (227 enodes) 47.024 * * [simplify]: Extracting #0: cost 1 inf + 0 47.024 * * [simplify]: Extracting #1: cost 4 inf + 0 47.024 * * [simplify]: Extracting #2: cost 8 inf + 0 47.024 * * [simplify]: Extracting #3: cost 23 inf + 0 47.024 * * [simplify]: Extracting #4: cost 71 inf + 0 47.024 * * [simplify]: Extracting #5: cost 125 inf + 43 47.025 * * [simplify]: Extracting #6: cost 148 inf + 294 47.026 * * [simplify]: Extracting #7: cost 118 inf + 6113 47.029 * * [simplify]: Extracting #8: cost 66 inf + 14486 47.037 * * [simplify]: Extracting #9: cost 10 inf + 34573 47.056 * * [simplify]: Extracting #10: cost 1 inf + 38446 47.070 * * [simplify]: Extracting #11: cost 0 inf + 39130 47.078 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 47.078 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 47.078 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 47.078 * * [simplify]: iters left: 6 (20 enodes) 47.085 * * [simplify]: iters left: 5 (89 enodes) 47.107 * * [simplify]: iters left: 4 (205 enodes) 47.171 * * [simplify]: iters left: 3 (462 enodes) 47.368 * * [simplify]: Extracting #0: cost 1 inf + 0 47.368 * * [simplify]: Extracting #1: cost 4 inf + 0 47.369 * * [simplify]: Extracting #2: cost 8 inf + 0 47.369 * * [simplify]: Extracting #3: cost 30 inf + 0 47.369 * * [simplify]: Extracting #4: cost 78 inf + 2 47.371 * * [simplify]: Extracting #5: cost 103 inf + 2075 47.375 * * [simplify]: Extracting #6: cost 60 inf + 8697 47.389 * * [simplify]: Extracting #7: cost 12 inf + 21378 47.404 * * [simplify]: Extracting #8: cost 0 inf + 25189 47.417 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))) 47.417 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))))) 47.417 * * * * [progress]: [ 79 / 458 ] simplifiying candidate # 47.418 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 47.418 * * [simplify]: iters left: 6 (26 enodes) 47.427 * * [simplify]: iters left: 5 (120 enodes) 47.461 * * [simplify]: iters left: 4 (305 enodes) 47.609 * * [simplify]: Extracting #0: cost 1 inf + 0 47.609 * * [simplify]: Extracting #1: cost 4 inf + 0 47.609 * * [simplify]: Extracting #2: cost 8 inf + 0 47.609 * * [simplify]: Extracting #3: cost 32 inf + 0 47.610 * * [simplify]: Extracting #4: cost 114 inf + 1 47.610 * * [simplify]: Extracting #5: cost 189 inf + 249 47.611 * * [simplify]: Extracting #6: cost 255 inf + 1705 47.616 * * [simplify]: Extracting #7: cost 191 inf + 25543 47.630 * * [simplify]: Extracting #8: cost 14 inf + 74280 47.664 * * [simplify]: Extracting #9: cost 0 inf + 80346 47.694 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 47.694 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 47.694 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 47.695 * * [simplify]: iters left: 6 (24 enodes) 47.703 * * [simplify]: iters left: 5 (115 enodes) 47.742 * * [simplify]: iters left: 4 (283 enodes) 47.893 * * [simplify]: Extracting #0: cost 1 inf + 0 47.893 * * [simplify]: Extracting #1: cost 4 inf + 0 47.893 * * [simplify]: Extracting #2: cost 8 inf + 0 47.893 * * [simplify]: Extracting #3: cost 41 inf + 0 47.894 * * [simplify]: Extracting #4: cost 89 inf + 2 47.894 * * [simplify]: Extracting #5: cost 110 inf + 126 47.896 * * [simplify]: Extracting #6: cost 107 inf + 2686 47.900 * * [simplify]: Extracting #7: cost 83 inf + 8089 47.910 * * [simplify]: Extracting #8: cost 28 inf + 20377 47.927 * * [simplify]: Extracting #9: cost 4 inf + 28177 47.945 * * [simplify]: Extracting #10: cost 0 inf + 30070 47.963 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))) 1)))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4)))) 47.963 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))) 1)))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4)))))) 47.964 * * * * [progress]: [ 80 / 458 ] simplifiying candidate # 47.964 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 47.965 * * [simplify]: iters left: 6 (28 enodes) 47.986 * * [simplify]: iters left: 5 (131 enodes) 48.028 * * [simplify]: iters left: 4 (315 enodes) 48.137 * * [simplify]: Extracting #0: cost 1 inf + 0 48.137 * * [simplify]: Extracting #1: cost 4 inf + 0 48.137 * * [simplify]: Extracting #2: cost 8 inf + 0 48.137 * * [simplify]: Extracting #3: cost 36 inf + 0 48.137 * * [simplify]: Extracting #4: cost 110 inf + 1 48.138 * * [simplify]: Extracting #5: cost 171 inf + 167 48.139 * * [simplify]: Extracting #6: cost 238 inf + 1160 48.142 * * [simplify]: Extracting #7: cost 189 inf + 17743 48.160 * * [simplify]: Extracting #8: cost 54 inf + 49808 48.193 * * [simplify]: Extracting #9: cost 4 inf + 67392 48.223 * * [simplify]: Extracting #10: cost 1 inf + 69087 48.238 * * [simplify]: Extracting #11: cost 0 inf + 69973 48.253 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 48.253 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 48.254 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 48.254 * * [simplify]: iters left: 6 (25 enodes) 48.265 * * [simplify]: iters left: 5 (119 enodes) 48.319 * * [simplify]: iters left: 4 (277 enodes) 48.416 * * [simplify]: Extracting #0: cost 1 inf + 0 48.416 * * [simplify]: Extracting #1: cost 4 inf + 0 48.416 * * [simplify]: Extracting #2: cost 8 inf + 0 48.416 * * [simplify]: Extracting #3: cost 32 inf + 0 48.417 * * [simplify]: Extracting #4: cost 76 inf + 2 48.417 * * [simplify]: Extracting #5: cost 94 inf + 289 48.418 * * [simplify]: Extracting #6: cost 91 inf + 2927 48.421 * * [simplify]: Extracting #7: cost 70 inf + 8001 48.426 * * [simplify]: Extracting #8: cost 6 inf + 23120 48.440 * * [simplify]: Extracting #9: cost 0 inf + 25141 48.454 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))) 1)) (+ (* v v) 1))) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))) 48.454 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (sqrt (+ (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))) 1)) (+ (* v v) 1))) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) 48.455 * * * * [progress]: [ 81 / 458 ] simplifiying candidate # 48.455 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 48.455 * * [simplify]: iters left: 6 (23 enodes) 48.463 * * [simplify]: iters left: 5 (100 enodes) 48.484 * * [simplify]: iters left: 4 (227 enodes) 48.587 * * [simplify]: Extracting #0: cost 1 inf + 0 48.587 * * [simplify]: Extracting #1: cost 4 inf + 0 48.587 * * [simplify]: Extracting #2: cost 8 inf + 0 48.587 * * [simplify]: Extracting #3: cost 31 inf + 0 48.588 * * [simplify]: Extracting #4: cost 102 inf + 1 48.588 * * [simplify]: Extracting #5: cost 155 inf + 372 48.589 * * [simplify]: Extracting #6: cost 175 inf + 1030 48.592 * * [simplify]: Extracting #7: cost 116 inf + 16625 48.601 * * [simplify]: Extracting #8: cost 8 inf + 52533 48.625 * * [simplify]: Extracting #9: cost 0 inf + 55319 48.640 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))))) 48.640 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 48.640 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 48.640 * * [simplify]: iters left: 6 (19 enodes) 48.646 * * [simplify]: iters left: 5 (82 enodes) 48.666 * * [simplify]: iters left: 4 (184 enodes) 48.754 * * [simplify]: Extracting #0: cost 1 inf + 0 48.754 * * [simplify]: Extracting #1: cost 4 inf + 0 48.754 * * [simplify]: Extracting #2: cost 8 inf + 0 48.754 * * [simplify]: Extracting #3: cost 41 inf + 0 48.754 * * [simplify]: Extracting #4: cost 86 inf + 2 48.755 * * [simplify]: Extracting #5: cost 94 inf + 653 48.756 * * [simplify]: Extracting #6: cost 58 inf + 6219 48.761 * * [simplify]: Extracting #7: cost 13 inf + 18214 48.773 * * [simplify]: Extracting #8: cost 1 inf + 21816 48.785 * * [simplify]: Extracting #9: cost 0 inf + 22179 48.798 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) (* (* v v) (* v v))) 1)))) 48.798 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) (* (* v v) (* v v))) 1)))))) 48.798 * * * * [progress]: [ 82 / 458 ] simplifiying candidate # 48.799 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 48.799 * * [simplify]: iters left: 6 (25 enodes) 48.814 * * [simplify]: iters left: 5 (112 enodes) 48.850 * * [simplify]: iters left: 4 (250 enodes) 48.952 * * [simplify]: Extracting #0: cost 1 inf + 0 48.952 * * [simplify]: Extracting #1: cost 4 inf + 0 48.952 * * [simplify]: Extracting #2: cost 8 inf + 0 48.952 * * [simplify]: Extracting #3: cost 31 inf + 0 48.952 * * [simplify]: Extracting #4: cost 100 inf + 1 48.953 * * [simplify]: Extracting #5: cost 149 inf + 372 48.954 * * [simplify]: Extracting #6: cost 171 inf + 868 48.956 * * [simplify]: Extracting #7: cost 129 inf + 12189 48.964 * * [simplify]: Extracting #8: cost 24 inf + 39485 48.974 * * [simplify]: Extracting #9: cost 3 inf + 45754 48.985 * * [simplify]: Extracting #10: cost 0 inf + 47689 48.995 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4) (sqrt 2))))) 48.995 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 48.996 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 48.996 * * [simplify]: iters left: 6 (20 enodes) 49.002 * * [simplify]: iters left: 5 (87 enodes) 49.021 * * [simplify]: iters left: 4 (184 enodes) 49.082 * * [simplify]: iters left: 3 (439 enodes) 49.293 * * [simplify]: Extracting #0: cost 1 inf + 0 49.293 * * [simplify]: Extracting #1: cost 4 inf + 0 49.293 * * [simplify]: Extracting #2: cost 8 inf + 0 49.293 * * [simplify]: Extracting #3: cost 33 inf + 0 49.293 * * [simplify]: Extracting #4: cost 72 inf + 2 49.294 * * [simplify]: Extracting #5: cost 106 inf + 207 49.295 * * [simplify]: Extracting #6: cost 67 inf + 5688 49.300 * * [simplify]: Extracting #7: cost 15 inf + 18385 49.307 * * [simplify]: Extracting #8: cost 3 inf + 21827 49.314 * * [simplify]: Extracting #9: cost 1 inf + 22634 49.321 * * [simplify]: Extracting #10: cost 0 inf + 23158 49.334 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))) 49.334 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4) (sqrt 2))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))))))) 49.335 * * * * [progress]: [ 83 / 458 ] simplifiying candidate # 49.335 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 49.335 * * [simplify]: iters left: 6 (23 enodes) 49.349 * * [simplify]: iters left: 5 (102 enodes) 49.394 * * [simplify]: iters left: 4 (241 enodes) 49.483 * * [simplify]: Extracting #0: cost 1 inf + 0 49.483 * * [simplify]: Extracting #1: cost 4 inf + 0 49.483 * * [simplify]: Extracting #2: cost 8 inf + 0 49.483 * * [simplify]: Extracting #3: cost 21 inf + 0 49.484 * * [simplify]: Extracting #4: cost 88 inf + 0 49.485 * * [simplify]: Extracting #5: cost 167 inf + 43 49.486 * * [simplify]: Extracting #6: cost 188 inf + 783 49.495 * * [simplify]: Extracting #7: cost 119 inf + 17213 49.511 * * [simplify]: Extracting #8: cost 24 inf + 42922 49.530 * * [simplify]: Extracting #9: cost 2 inf + 51779 49.550 * * [simplify]: Extracting #10: cost 0 inf + 52988 49.570 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* v v) -3)))))) 49.570 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* v v) -3)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 49.571 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 49.571 * * [simplify]: iters left: 6 (19 enodes) 49.584 * * [simplify]: iters left: 5 (83 enodes) 49.607 * * [simplify]: iters left: 4 (187 enodes) 49.690 * * [simplify]: iters left: 3 (477 enodes) 49.895 * * [simplify]: Extracting #0: cost 1 inf + 0 49.896 * * [simplify]: Extracting #1: cost 4 inf + 0 49.896 * * [simplify]: Extracting #2: cost 8 inf + 0 49.896 * * [simplify]: Extracting #3: cost 32 inf + 0 49.896 * * [simplify]: Extracting #4: cost 84 inf + 2 49.897 * * [simplify]: Extracting #5: cost 109 inf + 656 49.901 * * [simplify]: Extracting #6: cost 66 inf + 6905 49.911 * * [simplify]: Extracting #7: cost 10 inf + 21365 49.919 * * [simplify]: Extracting #8: cost 0 inf + 24088 49.926 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))) 49.926 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* v v) -3)))))) (* (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))))) 49.926 * * * * [progress]: [ 84 / 458 ] simplifiying candidate # 49.927 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 49.927 * * [simplify]: iters left: 6 (25 enodes) 49.935 * * [simplify]: iters left: 5 (113 enodes) 49.970 * * [simplify]: iters left: 4 (253 enodes) 50.062 * * [simplify]: Extracting #0: cost 1 inf + 0 50.062 * * [simplify]: Extracting #1: cost 4 inf + 0 50.062 * * [simplify]: Extracting #2: cost 8 inf + 0 50.062 * * [simplify]: Extracting #3: cost 23 inf + 0 50.062 * * [simplify]: Extracting #4: cost 82 inf + 0 50.063 * * [simplify]: Extracting #5: cost 147 inf + 43 50.063 * * [simplify]: Extracting #6: cost 170 inf + 742 50.066 * * [simplify]: Extracting #7: cost 110 inf + 13907 50.073 * * [simplify]: Extracting #8: cost 20 inf + 36770 50.082 * * [simplify]: Extracting #9: cost 2 inf + 43318 50.092 * * [simplify]: Extracting #10: cost 0 inf + 44526 50.108 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) 50.108 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 50.109 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 50.109 * * [simplify]: iters left: 6 (20 enodes) 50.116 * * [simplify]: iters left: 5 (87 enodes) 50.137 * * [simplify]: iters left: 4 (183 enodes) 50.226 * * [simplify]: iters left: 3 (422 enodes) 50.424 * * [simplify]: Extracting #0: cost 1 inf + 0 50.424 * * [simplify]: Extracting #1: cost 4 inf + 0 50.424 * * [simplify]: Extracting #2: cost 8 inf + 0 50.424 * * [simplify]: Extracting #3: cost 31 inf + 0 50.425 * * [simplify]: Extracting #4: cost 70 inf + 2 50.426 * * [simplify]: Extracting #5: cost 103 inf + 900 50.428 * * [simplify]: Extracting #6: cost 57 inf + 8002 50.433 * * [simplify]: Extracting #7: cost 11 inf + 19762 50.440 * * [simplify]: Extracting #8: cost 0 inf + 23322 50.447 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))) 50.447 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))))))) 50.448 * * * * [progress]: [ 85 / 458 ] simplifiying candidate # 50.448 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 50.448 * * [simplify]: iters left: 6 (25 enodes) 50.457 * * [simplify]: iters left: 5 (110 enodes) 50.495 * * [simplify]: iters left: 4 (263 enodes) 50.578 * * [simplify]: Extracting #0: cost 1 inf + 0 50.578 * * [simplify]: Extracting #1: cost 4 inf + 0 50.578 * * [simplify]: Extracting #2: cost 8 inf + 0 50.578 * * [simplify]: Extracting #3: cost 30 inf + 0 50.579 * * [simplify]: Extracting #4: cost 109 inf + 1 50.580 * * [simplify]: Extracting #5: cost 183 inf + 454 50.582 * * [simplify]: Extracting #6: cost 196 inf + 3097 50.596 * * [simplify]: Extracting #7: cost 91 inf + 32681 50.616 * * [simplify]: Extracting #8: cost 8 inf + 55962 50.640 * * [simplify]: Extracting #9: cost 0 inf + 59530 50.664 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) 50.664 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 50.665 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 50.665 * * [simplify]: iters left: 6 (18 enodes) 50.676 * * [simplify]: iters left: 5 (73 enodes) 50.703 * * [simplify]: iters left: 4 (161 enodes) 50.764 * * [simplify]: iters left: 3 (421 enodes) 50.958 * * [simplify]: Extracting #0: cost 1 inf + 0 50.958 * * [simplify]: Extracting #1: cost 4 inf + 0 50.958 * * [simplify]: Extracting #2: cost 8 inf + 0 50.958 * * [simplify]: Extracting #3: cost 40 inf + 0 50.959 * * [simplify]: Extracting #4: cost 99 inf + 2 50.960 * * [simplify]: Extracting #5: cost 137 inf + 45 50.961 * * [simplify]: Extracting #6: cost 101 inf + 8108 50.966 * * [simplify]: Extracting #7: cost 17 inf + 24827 50.977 * * [simplify]: Extracting #8: cost 0 inf + 28179 50.985 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (+ (+ (* v v) (* (* v v) (* v v))) 1))) 50.985 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (+ (+ (* v v) (* (* v v) (* v v))) 1))))) 50.985 * * * * [progress]: [ 86 / 458 ] simplifiying candidate # 50.986 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 50.986 * * [simplify]: iters left: 6 (27 enodes) 50.995 * * [simplify]: iters left: 5 (121 enodes) 51.030 * * [simplify]: iters left: 4 (273 enodes) 51.128 * * [simplify]: Extracting #0: cost 1 inf + 0 51.128 * * [simplify]: Extracting #1: cost 4 inf + 0 51.129 * * [simplify]: Extracting #2: cost 8 inf + 0 51.129 * * [simplify]: Extracting #3: cost 32 inf + 0 51.129 * * [simplify]: Extracting #4: cost 106 inf + 1 51.129 * * [simplify]: Extracting #5: cost 167 inf + 290 51.130 * * [simplify]: Extracting #6: cost 187 inf + 1526 51.134 * * [simplify]: Extracting #7: cost 105 inf + 22044 51.143 * * [simplify]: Extracting #8: cost 11 inf + 48218 51.153 * * [simplify]: Extracting #9: cost 0 inf + 51110 51.169 * [simplify]: Simplified to (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 51.169 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))))) 51.170 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) 51.170 * * [simplify]: iters left: 6 (19 enodes) 51.185 * * [simplify]: iters left: 5 (77 enodes) 51.204 * * [simplify]: iters left: 4 (162 enodes) 51.269 * * [simplify]: iters left: 3 (406 enodes) 51.473 * * [simplify]: Extracting #0: cost 1 inf + 0 51.473 * * [simplify]: Extracting #1: cost 4 inf + 0 51.473 * * [simplify]: Extracting #2: cost 8 inf + 0 51.473 * * [simplify]: Extracting #3: cost 31 inf + 0 51.474 * * [simplify]: Extracting #4: cost 84 inf + 2 51.476 * * [simplify]: Extracting #5: cost 100 inf + 3212 51.480 * * [simplify]: Extracting #6: cost 61 inf + 9265 51.492 * * [simplify]: Extracting #7: cost 10 inf + 23433 51.507 * * [simplify]: Extracting #8: cost 0 inf + 26195 51.523 * [simplify]: Simplified to (* (sqrt (* (* (+ (* (* v v) (+ (* v v) 1)) 1) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* v v) 1))) 51.523 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* (+ (* (* v v) (+ (* v v) 1)) 1) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* v v) 1))))) 51.523 * * * * [progress]: [ 87 / 458 ] simplifiying candidate # 51.523 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 51.524 * * [simplify]: iters left: 6 (25 enodes) 51.539 * * [simplify]: iters left: 5 (117 enodes) 51.588 * * [simplify]: iters left: 4 (295 enodes) 51.706 * * [simplify]: Extracting #0: cost 1 inf + 0 51.706 * * [simplify]: Extracting #1: cost 4 inf + 0 51.706 * * [simplify]: Extracting #2: cost 8 inf + 0 51.706 * * [simplify]: Extracting #3: cost 25 inf + 0 51.707 * * [simplify]: Extracting #4: cost 86 inf + 0 51.707 * * [simplify]: Extracting #5: cost 149 inf + 248 51.709 * * [simplify]: Extracting #6: cost 198 inf + 4316 51.713 * * [simplify]: Extracting #7: cost 141 inf + 25478 51.724 * * [simplify]: Extracting #8: cost 29 inf + 52351 51.736 * * [simplify]: Extracting #9: cost 2 inf + 60061 51.749 * * [simplify]: Extracting #10: cost 0 inf + 61309 51.766 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* v v)) (sqrt 2))))) 51.766 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* v v)) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 51.766 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 51.766 * * [simplify]: iters left: 6 (24 enodes) 51.774 * * [simplify]: iters left: 5 (109 enodes) 51.801 * * [simplify]: iters left: 4 (255 enodes) 51.922 * * [simplify]: Extracting #0: cost 1 inf + 0 51.922 * * [simplify]: Extracting #1: cost 4 inf + 0 51.922 * * [simplify]: Extracting #2: cost 8 inf + 0 51.922 * * [simplify]: Extracting #3: cost 33 inf + 0 51.922 * * [simplify]: Extracting #4: cost 73 inf + 2 51.923 * * [simplify]: Extracting #5: cost 79 inf + 2115 51.924 * * [simplify]: Extracting #6: cost 81 inf + 4064 51.926 * * [simplify]: Extracting #7: cost 67 inf + 7769 51.931 * * [simplify]: Extracting #8: cost 9 inf + 20876 51.938 * * [simplify]: Extracting #9: cost 0 inf + 24431 51.950 * * [simplify]: Extracting #10: cost 0 inf + 24267 51.967 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4)))) 51.967 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (- 1 (* v v)) (sqrt 2))))) (* (sqrt (* 4 (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)))) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4)))))) 51.967 * * * * [progress]: [ 88 / 458 ] simplifiying candidate # 51.968 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 51.968 * * [simplify]: iters left: 6 (21 enodes) 51.975 * * [simplify]: iters left: 5 (95 enodes) 51.997 * * [simplify]: iters left: 4 (227 enodes) 52.084 * * [simplify]: Extracting #0: cost 1 inf + 0 52.084 * * [simplify]: Extracting #1: cost 4 inf + 0 52.084 * * [simplify]: Extracting #2: cost 8 inf + 0 52.084 * * [simplify]: Extracting #3: cost 23 inf + 0 52.085 * * [simplify]: Extracting #4: cost 77 inf + 0 52.085 * * [simplify]: Extracting #5: cost 131 inf + 532 52.086 * * [simplify]: Extracting #6: cost 117 inf + 7561 52.089 * * [simplify]: Extracting #7: cost 97 inf + 12626 52.093 * * [simplify]: Extracting #8: cost 45 inf + 25928 52.101 * * [simplify]: Extracting #9: cost 3 inf + 40736 52.110 * * [simplify]: Extracting #10: cost 0 inf + 42026 52.122 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v))))) 52.122 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 52.123 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 52.123 * * [simplify]: iters left: 6 (18 enodes) 52.134 * * [simplify]: iters left: 5 (73 enodes) 52.152 * * [simplify]: iters left: 4 (161 enodes) 52.200 * * [simplify]: iters left: 3 (421 enodes) 52.421 * * [simplify]: Extracting #0: cost 1 inf + 0 52.421 * * [simplify]: Extracting #1: cost 4 inf + 0 52.421 * * [simplify]: Extracting #2: cost 8 inf + 0 52.422 * * [simplify]: Extracting #3: cost 35 inf + 0 52.422 * * [simplify]: Extracting #4: cost 91 inf + 2 52.422 * * [simplify]: Extracting #5: cost 138 inf + 3 52.423 * * [simplify]: Extracting #6: cost 103 inf + 7362 52.429 * * [simplify]: Extracting #7: cost 17 inf + 25072 52.437 * * [simplify]: Extracting #8: cost 0 inf + 28263 52.445 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))) 52.445 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))))) 52.445 * * * * [progress]: [ 89 / 458 ] simplifiying candidate # 52.446 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 52.446 * * [simplify]: iters left: 6 (27 enodes) 52.458 * * [simplify]: iters left: 5 (125 enodes) 52.501 * * [simplify]: iters left: 4 (315 enodes) 52.630 * * [simplify]: Extracting #0: cost 1 inf + 0 52.630 * * [simplify]: Extracting #1: cost 4 inf + 0 52.630 * * [simplify]: Extracting #2: cost 8 inf + 0 52.630 * * [simplify]: Extracting #3: cost 34 inf + 0 52.630 * * [simplify]: Extracting #4: cost 107 inf + 1 52.631 * * [simplify]: Extracting #5: cost 165 inf + 699 52.632 * * [simplify]: Extracting #6: cost 201 inf + 7276 52.637 * * [simplify]: Extracting #7: cost 142 inf + 27965 52.656 * * [simplify]: Extracting #8: cost 42 inf + 52103 52.682 * * [simplify]: Extracting #9: cost 4 inf + 65268 52.710 * * [simplify]: Extracting #10: cost 0 inf + 67729 52.727 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) 52.727 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 52.728 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 52.728 * * [simplify]: iters left: 6 (23 enodes) 52.739 * * [simplify]: iters left: 5 (104 enodes) 52.770 * * [simplify]: iters left: 4 (250 enodes) 52.876 * * [simplify]: Extracting #0: cost 1 inf + 0 52.876 * * [simplify]: Extracting #1: cost 4 inf + 0 52.876 * * [simplify]: Extracting #2: cost 8 inf + 0 52.876 * * [simplify]: Extracting #3: cost 36 inf + 0 52.876 * * [simplify]: Extracting #4: cost 84 inf + 2 52.877 * * [simplify]: Extracting #5: cost 117 inf + 371 52.878 * * [simplify]: Extracting #6: cost 86 inf + 5492 52.882 * * [simplify]: Extracting #7: cost 57 inf + 9724 52.894 * * [simplify]: Extracting #8: cost 5 inf + 24033 52.909 * * [simplify]: Extracting #9: cost 0 inf + 25853 52.923 * [simplify]: Simplified to (* (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (sqrt (+ (* (* v v) 3) (+ 1 (* 9 (* (* v v) (* v v)))))))) 52.923 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (* (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (sqrt (+ (* (* v v) 3) (+ 1 (* 9 (* (* v v) (* v v)))))))))) 52.923 * * * * [progress]: [ 90 / 458 ] simplifiying candidate # 52.924 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 52.924 * * [simplify]: iters left: 6 (24 enodes) 52.939 * * [simplify]: iters left: 5 (106 enodes) 52.983 * * [simplify]: iters left: 4 (250 enodes) 53.081 * * [simplify]: Extracting #0: cost 1 inf + 0 53.082 * * [simplify]: Extracting #1: cost 4 inf + 0 53.082 * * [simplify]: Extracting #2: cost 8 inf + 0 53.082 * * [simplify]: Extracting #3: cost 31 inf + 0 53.082 * * [simplify]: Extracting #4: cost 102 inf + 1 53.083 * * [simplify]: Extracting #5: cost 155 inf + 536 53.086 * * [simplify]: Extracting #6: cost 148 inf + 5313 53.095 * * [simplify]: Extracting #7: cost 76 inf + 26879 53.114 * * [simplify]: Extracting #8: cost 4 inf + 47428 53.135 * * [simplify]: Extracting #9: cost 0 inf + 48569 53.156 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 53.156 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 53.157 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 53.157 * * [simplify]: iters left: 6 (18 enodes) 53.166 * * [simplify]: iters left: 5 (73 enodes) 53.181 * * [simplify]: iters left: 4 (161 enodes) 53.234 * * [simplify]: iters left: 3 (421 enodes) 53.814 * * [simplify]: Extracting #0: cost 1 inf + 0 53.814 * * [simplify]: Extracting #1: cost 4 inf + 0 53.815 * * [simplify]: Extracting #2: cost 8 inf + 0 53.815 * * [simplify]: Extracting #3: cost 36 inf + 0 53.815 * * [simplify]: Extracting #4: cost 93 inf + 2 53.820 * * [simplify]: Extracting #5: cost 140 inf + 3 53.822 * * [simplify]: Extracting #6: cost 104 inf + 7321 53.832 * * [simplify]: Extracting #7: cost 16 inf + 25032 53.848 * * [simplify]: Extracting #8: cost 0 inf + 28181 53.865 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 53.865 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 53.865 * * * * [progress]: [ 91 / 458 ] simplifiying candidate # 53.866 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 53.866 * * [simplify]: iters left: 6 (24 enodes) 53.881 * * [simplify]: iters left: 5 (107 enodes) 53.920 * * [simplify]: iters left: 4 (252 enodes) 54.004 * * [simplify]: Extracting #0: cost 1 inf + 0 54.004 * * [simplify]: Extracting #1: cost 4 inf + 0 54.004 * * [simplify]: Extracting #2: cost 8 inf + 0 54.004 * * [simplify]: Extracting #3: cost 23 inf + 0 54.004 * * [simplify]: Extracting #4: cost 84 inf + 0 54.005 * * [simplify]: Extracting #5: cost 151 inf + 44 54.006 * * [simplify]: Extracting #6: cost 170 inf + 1278 54.009 * * [simplify]: Extracting #7: cost 98 inf + 19260 54.018 * * [simplify]: Extracting #8: cost 20 inf + 37505 54.035 * * [simplify]: Extracting #9: cost 1 inf + 43748 54.053 * * [simplify]: Extracting #10: cost 0 inf + 44512 54.074 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 54.074 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)))) 54.075 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) 54.075 * * [simplify]: iters left: 6 (18 enodes) 54.081 * * [simplify]: iters left: 5 (74 enodes) 54.097 * * [simplify]: iters left: 4 (162 enodes) 54.151 * * [simplify]: iters left: 3 (422 enodes) 54.331 * * [simplify]: Extracting #0: cost 1 inf + 0 54.331 * * [simplify]: Extracting #1: cost 4 inf + 0 54.331 * * [simplify]: Extracting #2: cost 5 inf + 1 54.331 * * [simplify]: Extracting #3: cost 29 inf + 1 54.331 * * [simplify]: Extracting #4: cost 83 inf + 3 54.332 * * [simplify]: Extracting #5: cost 122 inf + 863 54.334 * * [simplify]: Extracting #6: cost 68 inf + 9270 54.343 * * [simplify]: Extracting #7: cost 9 inf + 23893 54.357 * * [simplify]: Extracting #8: cost 0 inf + 26444 54.370 * [simplify]: Simplified to (* 2 (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))) 54.370 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (* 2 (sqrt (* (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))))) 54.371 * * * * [progress]: [ 92 / 458 ] simplifiying candidate # 54.371 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 54.371 * * [simplify]: iters left: 6 (26 enodes) 54.386 * * [simplify]: iters left: 5 (123 enodes) 54.430 * * [simplify]: iters left: 4 (295 enodes) 54.560 * * [simplify]: Extracting #0: cost 1 inf + 0 54.561 * * [simplify]: Extracting #1: cost 4 inf + 0 54.561 * * [simplify]: Extracting #2: cost 8 inf + 0 54.561 * * [simplify]: Extracting #3: cost 25 inf + 0 54.561 * * [simplify]: Extracting #4: cost 84 inf + 0 54.561 * * [simplify]: Extracting #5: cost 148 inf + 43 54.562 * * [simplify]: Extracting #6: cost 218 inf + 587 54.564 * * [simplify]: Extracting #7: cost 196 inf + 10989 54.572 * * [simplify]: Extracting #8: cost 49 inf + 43416 54.590 * * [simplify]: Extracting #9: cost 1 inf + 61843 54.607 * * [simplify]: Extracting #10: cost 0 inf + 62246 54.629 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 54.629 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 54.630 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 54.631 * * [simplify]: iters left: 6 (26 enodes) 54.644 * * [simplify]: iters left: 5 (124 enodes) 54.674 * * [simplify]: iters left: 4 (310 enodes) 54.800 * * [simplify]: Extracting #0: cost 1 inf + 0 54.800 * * [simplify]: Extracting #1: cost 4 inf + 0 54.800 * * [simplify]: Extracting #2: cost 8 inf + 0 54.800 * * [simplify]: Extracting #3: cost 44 inf + 0 54.801 * * [simplify]: Extracting #4: cost 92 inf + 2 54.801 * * [simplify]: Extracting #5: cost 117 inf + 331 54.802 * * [simplify]: Extracting #6: cost 117 inf + 2367 54.804 * * [simplify]: Extracting #7: cost 89 inf + 7811 54.810 * * [simplify]: Extracting #8: cost 31 inf + 23378 54.825 * * [simplify]: Extracting #9: cost 3 inf + 34521 54.836 * * [simplify]: Extracting #10: cost 0 inf + 35588 54.847 * * [simplify]: Extracting #11: cost 0 inf + 35545 54.858 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (* (sqrt (+ 1 (* v (* 3 v)))) 4))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (sqrt (+ (* (* v (* 3 v)) (+ 1 (* v (* 3 v)))) 1)))))) 54.858 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (+ (* v v) 1) (* (sqrt (+ 1 (* v (* 3 v)))) 4))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* 4 (sqrt (+ (* (* v (* 3 v)) (+ 1 (* v (* 3 v)))) 1)))))))) 54.858 * * * * [progress]: [ 93 / 458 ] simplifiying candidate # 54.858 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 54.859 * * [simplify]: iters left: 6 (24 enodes) 54.872 * * [simplify]: iters left: 5 (110 enodes) 54.898 * * [simplify]: iters left: 4 (263 enodes) 55.036 * * [simplify]: Extracting #0: cost 1 inf + 0 55.036 * * [simplify]: Extracting #1: cost 4 inf + 0 55.036 * * [simplify]: Extracting #2: cost 8 inf + 0 55.036 * * [simplify]: Extracting #3: cost 21 inf + 0 55.037 * * [simplify]: Extracting #4: cost 70 inf + 0 55.037 * * [simplify]: Extracting #5: cost 101 inf + 330 55.039 * * [simplify]: Extracting #6: cost 159 inf + 1832 55.044 * * [simplify]: Extracting #7: cost 151 inf + 10027 55.058 * * [simplify]: Extracting #8: cost 44 inf + 34097 55.076 * * [simplify]: Extracting #9: cost 1 inf + 47536 55.087 * * [simplify]: Extracting #10: cost 0 inf + 48080 55.097 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 55.098 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 55.098 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 55.098 * * [simplify]: iters left: 6 (22 enodes) 55.111 * * [simplify]: iters left: 5 (108 enodes) 55.161 * * [simplify]: iters left: 4 (251 enodes) 55.225 * * [simplify]: iters left: 3 (420 enodes) 55.360 * * [simplify]: Extracting #0: cost 1 inf + 0 55.360 * * [simplify]: Extracting #1: cost 4 inf + 0 55.360 * * [simplify]: Extracting #2: cost 8 inf + 0 55.361 * * [simplify]: Extracting #3: cost 24 inf + 0 55.361 * * [simplify]: Extracting #4: cost 44 inf + 2 55.361 * * [simplify]: Extracting #5: cost 56 inf + 250 55.363 * * [simplify]: Extracting #6: cost 76 inf + 1111 55.364 * * [simplify]: Extracting #7: cost 77 inf + 2495 55.368 * * [simplify]: Extracting #8: cost 45 inf + 7328 55.372 * * [simplify]: Extracting #9: cost 11 inf + 15773 55.378 * * [simplify]: Extracting #10: cost 2 inf + 18618 55.386 * * [simplify]: Extracting #11: cost 0 inf + 19433 55.393 * * [simplify]: Extracting #12: cost 0 inf + 19355 55.402 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (* (sqrt (+ (* (* v v) (+ (* 9 (* v v)) 3)) 1)) (+ 1 (* v v))) 4))) 55.402 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (* (sqrt (+ (* (* v v) (+ (* 9 (* v v)) 3)) 1)) (+ 1 (* v v))) 4))))) 55.403 * * * * [progress]: [ 94 / 458 ] simplifiying candidate # 55.404 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 55.404 * * [simplify]: iters left: 6 (22 enodes) 55.418 * * [simplify]: iters left: 5 (101 enodes) 55.457 * * [simplify]: iters left: 4 (227 enodes) 55.536 * * [simplify]: Extracting #0: cost 1 inf + 0 55.536 * * [simplify]: Extracting #1: cost 4 inf + 0 55.536 * * [simplify]: Extracting #2: cost 8 inf + 0 55.536 * * [simplify]: Extracting #3: cost 21 inf + 0 55.536 * * [simplify]: Extracting #4: cost 69 inf + 0 55.536 * * [simplify]: Extracting #5: cost 122 inf + 125 55.537 * * [simplify]: Extracting #6: cost 145 inf + 335 55.538 * * [simplify]: Extracting #7: cost 117 inf + 6454 55.544 * * [simplify]: Extracting #8: cost 19 inf + 31433 55.552 * * [simplify]: Extracting #9: cost 1 inf + 37958 55.560 * * [simplify]: Extracting #10: cost 0 inf + 38562 55.571 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 55.571 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 55.571 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 55.572 * * [simplify]: iters left: 6 (20 enodes) 55.583 * * [simplify]: iters left: 5 (87 enodes) 55.612 * * [simplify]: iters left: 4 (205 enodes) 55.694 * * [simplify]: iters left: 3 (464 enodes) 55.920 * * [simplify]: Extracting #0: cost 1 inf + 0 55.920 * * [simplify]: Extracting #1: cost 4 inf + 0 55.920 * * [simplify]: Extracting #2: cost 8 inf + 0 55.920 * * [simplify]: Extracting #3: cost 33 inf + 0 55.920 * * [simplify]: Extracting #4: cost 79 inf + 2 55.921 * * [simplify]: Extracting #5: cost 105 inf + 2086 55.922 * * [simplify]: Extracting #6: cost 69 inf + 7954 55.925 * * [simplify]: Extracting #7: cost 55 inf + 8861 55.930 * * [simplify]: Extracting #8: cost 7 inf + 22155 55.938 * * [simplify]: Extracting #9: cost 1 inf + 24338 55.946 * * [simplify]: Extracting #10: cost 0 inf + 24942 55.953 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 55.953 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* 4 (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 55.954 * * * * [progress]: [ 95 / 458 ] simplifiying candidate # 55.954 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 55.954 * * [simplify]: iters left: 6 (17 enodes) 55.960 * * [simplify]: iters left: 5 (71 enodes) 55.977 * * [simplify]: iters left: 4 (155 enodes) 56.011 * * [simplify]: iters left: 3 (356 enodes) 56.148 * * [simplify]: Extracting #0: cost 1 inf + 0 56.148 * * [simplify]: Extracting #1: cost 20 inf + 0 56.148 * * [simplify]: Extracting #2: cost 78 inf + 1 56.149 * * [simplify]: Extracting #3: cost 126 inf + 408 56.152 * * [simplify]: Extracting #4: cost 104 inf + 6173 56.157 * * [simplify]: Extracting #5: cost 91 inf + 10368 56.173 * * [simplify]: Extracting #6: cost 14 inf + 31129 56.196 * * [simplify]: Extracting #7: cost 1 inf + 36467 56.210 * * [simplify]: Extracting #8: cost 0 inf + 36951 56.225 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2)) 56.225 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2)) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 56.225 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 56.225 * * [simplify]: iters left: 6 (13 enodes) 56.231 * * [simplify]: iters left: 5 (54 enodes) 56.248 * * [simplify]: iters left: 4 (99 enodes) 56.267 * * [simplify]: iters left: 3 (161 enodes) 56.304 * * [simplify]: iters left: 2 (205 enodes) 56.349 * * [simplify]: iters left: 1 (208 enodes) 56.378 * * [simplify]: Extracting #0: cost 1 inf + 0 56.378 * * [simplify]: Extracting #1: cost 11 inf + 0 56.379 * * [simplify]: Extracting #2: cost 24 inf + 2 56.379 * * [simplify]: Extracting #3: cost 27 inf + 250 56.379 * * [simplify]: Extracting #4: cost 24 inf + 741 56.380 * * [simplify]: Extracting #5: cost 22 inf + 866 56.382 * * [simplify]: Extracting #6: cost 9 inf + 3227 56.385 * * [simplify]: Extracting #7: cost 0 inf + 5860 56.389 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* v v) 4) 4)) 56.389 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2)) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* v v) 4) 4)))) 56.389 * * * * [progress]: [ 96 / 458 ] simplifiying candidate # 56.389 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 56.390 * * [simplify]: iters left: 6 (28 enodes) 56.410 * * [simplify]: iters left: 5 (131 enodes) 56.464 * * [simplify]: iters left: 4 (315 enodes) 56.641 * * [simplify]: Extracting #0: cost 1 inf + 0 56.641 * * [simplify]: Extracting #1: cost 4 inf + 0 56.641 * * [simplify]: Extracting #2: cost 8 inf + 0 56.641 * * [simplify]: Extracting #3: cost 34 inf + 0 56.642 * * [simplify]: Extracting #4: cost 105 inf + 1 56.642 * * [simplify]: Extracting #5: cost 166 inf + 167 56.644 * * [simplify]: Extracting #6: cost 236 inf + 1338 56.650 * * [simplify]: Extracting #7: cost 190 inf + 18179 56.672 * * [simplify]: Extracting #8: cost 63 inf + 43835 56.699 * * [simplify]: Extracting #9: cost 5 inf + 67504 56.729 * * [simplify]: Extracting #10: cost 0 inf + 70325 56.746 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 56.746 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 56.747 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 56.747 * * [simplify]: iters left: 6 (25 enodes) 56.756 * * [simplify]: iters left: 5 (119 enodes) 56.801 * * [simplify]: iters left: 4 (269 enodes) 56.909 * * [simplify]: Extracting #0: cost 1 inf + 0 56.909 * * [simplify]: Extracting #1: cost 4 inf + 0 56.909 * * [simplify]: Extracting #2: cost 8 inf + 0 56.909 * * [simplify]: Extracting #3: cost 31 inf + 0 56.910 * * [simplify]: Extracting #4: cost 59 inf + 2 56.910 * * [simplify]: Extracting #5: cost 81 inf + 3 56.911 * * [simplify]: Extracting #6: cost 82 inf + 1590 56.914 * * [simplify]: Extracting #7: cost 69 inf + 4522 56.921 * * [simplify]: Extracting #8: cost 14 inf + 16201 56.932 * * [simplify]: Extracting #9: cost 5 inf + 19630 56.940 * * [simplify]: Extracting #10: cost 0 inf + 21766 56.947 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ (+ (* v v) (* (* v v) (* v v))) 1))) (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* v v) 3)))))) 56.947 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ (+ (* v v) (* (* v v) (* v v))) 1))) (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* v v) 3)))))))) 56.947 * * * * [progress]: [ 97 / 458 ] simplifiying candidate # 56.947 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 56.948 * * [simplify]: iters left: 6 (26 enodes) 56.957 * * [simplify]: iters left: 5 (118 enodes) 56.982 * * [simplify]: iters left: 4 (285 enodes) 57.064 * * [simplify]: Extracting #0: cost 1 inf + 0 57.064 * * [simplify]: Extracting #1: cost 4 inf + 0 57.064 * * [simplify]: Extracting #2: cost 8 inf + 0 57.064 * * [simplify]: Extracting #3: cost 30 inf + 0 57.064 * * [simplify]: Extracting #4: cost 94 inf + 1 57.065 * * [simplify]: Extracting #5: cost 127 inf + 127 57.069 * * [simplify]: Extracting #6: cost 175 inf + 3135 57.073 * * [simplify]: Extracting #7: cost 145 inf + 19538 57.084 * * [simplify]: Extracting #8: cost 14 inf + 52599 57.097 * * [simplify]: Extracting #9: cost 1 inf + 56762 57.111 * * [simplify]: Extracting #10: cost 0 inf + 57055 57.126 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 57.126 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 57.126 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 57.127 * * [simplify]: iters left: 6 (21 enodes) 57.134 * * [simplify]: iters left: 5 (102 enodes) 57.158 * * [simplify]: iters left: 4 (223 enodes) 57.212 * * [simplify]: iters left: 3 (380 enodes) 57.340 * * [simplify]: Extracting #0: cost 1 inf + 0 57.340 * * [simplify]: Extracting #1: cost 4 inf + 0 57.340 * * [simplify]: Extracting #2: cost 8 inf + 0 57.340 * * [simplify]: Extracting #3: cost 22 inf + 0 57.340 * * [simplify]: Extracting #4: cost 38 inf + 2 57.340 * * [simplify]: Extracting #5: cost 50 inf + 126 57.341 * * [simplify]: Extracting #6: cost 72 inf + 740 57.341 * * [simplify]: Extracting #7: cost 75 inf + 1643 57.343 * * [simplify]: Extracting #8: cost 45 inf + 5627 57.346 * * [simplify]: Extracting #9: cost 17 inf + 11510 57.351 * * [simplify]: Extracting #10: cost 6 inf + 14312 57.356 * * [simplify]: Extracting #11: cost 1 inf + 16729 57.362 * * [simplify]: Extracting #12: cost 0 inf + 17132 57.367 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* v (* 3 v)) (* v (* 3 v))) (* v (* 3 v))) 1)) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) 4) 4)))) 57.367 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (+ (* (* v (* 3 v)) (* v (* 3 v))) (* v (* 3 v))) 1)) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) 4) 4)))))) 57.367 * * * * [progress]: [ 98 / 458 ] simplifiying candidate # 57.368 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 57.368 * * [simplify]: iters left: 6 (25 enodes) 57.384 * * [simplify]: iters left: 5 (112 enodes) 57.427 * * [simplify]: iters left: 4 (250 enodes) 57.516 * * [simplify]: Extracting #0: cost 1 inf + 0 57.516 * * [simplify]: Extracting #1: cost 4 inf + 0 57.516 * * [simplify]: Extracting #2: cost 8 inf + 0 57.516 * * [simplify]: Extracting #3: cost 31 inf + 0 57.517 * * [simplify]: Extracting #4: cost 102 inf + 1 57.518 * * [simplify]: Extracting #5: cost 151 inf + 331 57.519 * * [simplify]: Extracting #6: cost 172 inf + 826 57.524 * * [simplify]: Extracting #7: cost 114 inf + 15541 57.534 * * [simplify]: Extracting #8: cost 16 inf + 44760 57.545 * * [simplify]: Extracting #9: cost 0 inf + 49428 57.557 * * [simplify]: Extracting #10: cost 0 inf + 49308 57.578 * [simplify]: Simplified to (* (sqrt (* (+ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* v v) (* v v)) (* (- (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 57.578 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (+ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* v v) (* v v)) (* (- (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 57.579 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 57.579 * * [simplify]: iters left: 6 (20 enodes) 57.591 * * [simplify]: iters left: 5 (87 enodes) 57.627 * * [simplify]: iters left: 4 (177 enodes) 57.678 * * [simplify]: iters left: 3 (343 enodes) 57.798 * * [simplify]: iters left: 2 (442 enodes) 57.907 * * [simplify]: Extracting #0: cost 1 inf + 0 57.907 * * [simplify]: Extracting #1: cost 4 inf + 0 57.907 * * [simplify]: Extracting #2: cost 8 inf + 0 57.907 * * [simplify]: Extracting #3: cost 23 inf + 0 57.907 * * [simplify]: Extracting #4: cost 54 inf + 2 57.908 * * [simplify]: Extracting #5: cost 69 inf + 1176 57.909 * * [simplify]: Extracting #6: cost 46 inf + 5029 57.914 * * [simplify]: Extracting #7: cost 9 inf + 13600 57.922 * * [simplify]: Extracting #8: cost 0 inf + 16348 57.930 * * [simplify]: Extracting #9: cost 0 inf + 15848 57.940 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v))))))) 57.940 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (+ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (* (* v v) (* v v)) (* (- (* v v)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v))))))))) 57.940 * * * * [progress]: [ 99 / 458 ] simplifiying candidate # 57.941 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 57.941 * * [simplify]: iters left: 6 (22 enodes) 57.954 * * [simplify]: iters left: 5 (93 enodes) 57.988 * * [simplify]: iters left: 4 (192 enodes) 58.053 * * [simplify]: iters left: 3 (468 enodes) 58.311 * * [simplify]: Extracting #0: cost 1 inf + 0 58.311 * * [simplify]: Extracting #1: cost 4 inf + 0 58.311 * * [simplify]: Extracting #2: cost 8 inf + 0 58.311 * * [simplify]: Extracting #3: cost 41 inf + 0 58.311 * * [simplify]: Extracting #4: cost 162 inf + 2 58.312 * * [simplify]: Extracting #5: cost 224 inf + 452 58.314 * * [simplify]: Extracting #6: cost 203 inf + 6183 58.327 * * [simplify]: Extracting #7: cost 126 inf + 28789 58.354 * * [simplify]: Extracting #8: cost 11 inf + 64958 58.388 * * [simplify]: Extracting #9: cost 0 inf + 66571 58.408 * * [simplify]: Extracting #10: cost 0 inf + 66251 58.439 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* 3 (* (* v v) (* v v)))))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* 3 (* (* v v) (* v v)))))) (/ (sqrt 2) (/ 4 (- 1 (* (* v v) (* v v)))))))) 58.439 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* 3 (* (* v v) (* v v)))))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* 3 (* (* v v) (* v v)))))) (/ (sqrt 2) (/ 4 (- 1 (* (* v v) (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 58.440 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 58.440 * * [simplify]: iters left: 6 (15 enodes) 58.450 * * [simplify]: iters left: 5 (69 enodes) 58.477 * * [simplify]: iters left: 4 (117 enodes) 58.506 * * [simplify]: iters left: 3 (199 enodes) 58.562 * * [simplify]: iters left: 2 (222 enodes) 58.620 * * [simplify]: Extracting #0: cost 1 inf + 0 58.620 * * [simplify]: Extracting #1: cost 4 inf + 0 58.620 * * [simplify]: Extracting #2: cost 8 inf + 0 58.620 * * [simplify]: Extracting #3: cost 18 inf + 0 58.620 * * [simplify]: Extracting #4: cost 29 inf + 2 58.621 * * [simplify]: Extracting #5: cost 32 inf + 168 58.621 * * [simplify]: Extracting #6: cost 29 inf + 659 58.622 * * [simplify]: Extracting #7: cost 26 inf + 866 58.623 * * [simplify]: Extracting #8: cost 16 inf + 2736 58.626 * * [simplify]: Extracting #9: cost 4 inf + 5818 58.630 * * [simplify]: Extracting #10: cost 1 inf + 6950 58.634 * * [simplify]: Extracting #11: cost 0 inf + 7394 58.638 * [simplify]: Simplified to (* (sqrt (* (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))) 4)) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))))) 58.638 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))) 4)) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))))))) 58.639 * * * * [progress]: [ 100 / 458 ] simplifiying candidate # 58.639 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 58.639 * * [simplify]: iters left: 6 (25 enodes) 58.654 * * [simplify]: iters left: 5 (113 enodes) 58.680 * * [simplify]: iters left: 4 (253 enodes) 58.793 * * [simplify]: Extracting #0: cost 1 inf + 0 58.794 * * [simplify]: Extracting #1: cost 4 inf + 0 58.794 * * [simplify]: Extracting #2: cost 8 inf + 0 58.794 * * [simplify]: Extracting #3: cost 23 inf + 0 58.794 * * [simplify]: Extracting #4: cost 82 inf + 0 58.795 * * [simplify]: Extracting #5: cost 147 inf + 43 58.796 * * [simplify]: Extracting #6: cost 169 inf + 742 58.804 * * [simplify]: Extracting #7: cost 121 inf + 11192 58.815 * * [simplify]: Extracting #8: cost 42 inf + 28778 58.830 * * [simplify]: Extracting #9: cost 3 inf + 41873 58.848 * * [simplify]: Extracting #10: cost 0 inf + 43444 58.866 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 58.866 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 58.866 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 58.867 * * [simplify]: iters left: 6 (20 enodes) 58.880 * * [simplify]: iters left: 5 (87 enodes) 58.898 * * [simplify]: iters left: 4 (177 enodes) 58.956 * * [simplify]: iters left: 3 (305 enodes) 59.066 * * [simplify]: iters left: 2 (403 enodes) 59.170 * * [simplify]: iters left: 1 (483 enodes) 59.299 * * [simplify]: Extracting #0: cost 1 inf + 0 59.299 * * [simplify]: Extracting #1: cost 4 inf + 0 59.299 * * [simplify]: Extracting #2: cost 8 inf + 0 59.299 * * [simplify]: Extracting #3: cost 23 inf + 0 59.299 * * [simplify]: Extracting #4: cost 52 inf + 2 59.299 * * [simplify]: Extracting #5: cost 80 inf + 575 59.301 * * [simplify]: Extracting #6: cost 63 inf + 3215 59.302 * * [simplify]: Extracting #7: cost 35 inf + 8931 59.306 * * [simplify]: Extracting #8: cost 2 inf + 17296 59.309 * * [simplify]: Extracting #9: cost 0 inf + 18072 59.316 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))) 59.316 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))))) 59.316 * * * * [progress]: [ 101 / 458 ] simplifiying candidate # 59.317 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 59.317 * * [simplify]: iters left: 6 (22 enodes) 59.331 * * [simplify]: iters left: 5 (95 enodes) 59.370 * * [simplify]: iters left: 4 (205 enodes) 59.427 * * [simplify]: iters left: 3 (470 enodes) 59.656 * * [simplify]: Extracting #0: cost 1 inf + 0 59.656 * * [simplify]: Extracting #1: cost 4 inf + 0 59.656 * * [simplify]: Extracting #2: cost 8 inf + 0 59.656 * * [simplify]: Extracting #3: cost 26 inf + 0 59.657 * * [simplify]: Extracting #4: cost 112 inf + 1 59.658 * * [simplify]: Extracting #5: cost 190 inf + 85 59.661 * * [simplify]: Extracting #6: cost 156 inf + 10191 59.681 * * [simplify]: Extracting #7: cost 82 inf + 33026 59.702 * * [simplify]: Extracting #8: cost 8 inf + 51537 59.720 * * [simplify]: Extracting #9: cost 0 inf + 53723 59.759 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) 59.759 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))))) 59.760 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) 59.760 * * [simplify]: iters left: 6 (15 enodes) 59.770 * * [simplify]: iters left: 5 (70 enodes) 59.795 * * [simplify]: iters left: 4 (116 enodes) 59.834 * * [simplify]: iters left: 3 (171 enodes) 59.878 * * [simplify]: iters left: 2 (208 enodes) 59.918 * * [simplify]: iters left: 1 (209 enodes) 59.937 * * [simplify]: Extracting #0: cost 1 inf + 0 59.937 * * [simplify]: Extracting #1: cost 4 inf + 0 59.937 * * [simplify]: Extracting #2: cost 8 inf + 0 59.937 * * [simplify]: Extracting #3: cost 18 inf + 0 59.937 * * [simplify]: Extracting #4: cost 29 inf + 2 59.937 * * [simplify]: Extracting #5: cost 33 inf + 126 59.938 * * [simplify]: Extracting #6: cost 27 inf + 903 59.938 * * [simplify]: Extracting #7: cost 24 inf + 1190 59.939 * * [simplify]: Extracting #8: cost 14 inf + 2861 59.940 * * [simplify]: Extracting #9: cost 3 inf + 5820 59.942 * * [simplify]: Extracting #10: cost 0 inf + 7072 59.944 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (+ (* (* v v) 4) 4))) 59.944 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (+ (* (* v v) 4) 4))))) 59.944 * * * * [progress]: [ 102 / 458 ] simplifiying candidate # 59.944 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 59.945 * * [simplify]: iters left: 6 (27 enodes) 59.956 * * [simplify]: iters left: 5 (121 enodes) 59.991 * * [simplify]: iters left: 4 (273 enodes) 60.074 * * [simplify]: Extracting #0: cost 1 inf + 0 60.075 * * [simplify]: Extracting #1: cost 4 inf + 0 60.075 * * [simplify]: Extracting #2: cost 8 inf + 0 60.075 * * [simplify]: Extracting #3: cost 34 inf + 0 60.075 * * [simplify]: Extracting #4: cost 108 inf + 1 60.075 * * [simplify]: Extracting #5: cost 170 inf + 167 60.076 * * [simplify]: Extracting #6: cost 189 inf + 1785 60.079 * * [simplify]: Extracting #7: cost 134 inf + 14206 60.092 * * [simplify]: Extracting #8: cost 54 inf + 32160 60.111 * * [simplify]: Extracting #9: cost 6 inf + 48340 60.132 * * [simplify]: Extracting #10: cost 0 inf + 51528 60.153 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) 60.154 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 60.154 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 60.155 * * [simplify]: iters left: 6 (19 enodes) 60.165 * * [simplify]: iters left: 5 (77 enodes) 60.183 * * [simplify]: iters left: 4 (149 enodes) 60.235 * * [simplify]: iters left: 3 (252 enodes) 60.334 * * [simplify]: iters left: 2 (325 enodes) 60.404 * * [simplify]: iters left: 1 (354 enodes) 60.452 * * [simplify]: Extracting #0: cost 1 inf + 0 60.453 * * [simplify]: Extracting #1: cost 4 inf + 0 60.453 * * [simplify]: Extracting #2: cost 8 inf + 0 60.453 * * [simplify]: Extracting #3: cost 22 inf + 0 60.453 * * [simplify]: Extracting #4: cost 46 inf + 2 60.454 * * [simplify]: Extracting #5: cost 61 inf + 1298 60.456 * * [simplify]: Extracting #6: cost 37 inf + 4631 60.459 * * [simplify]: Extracting #7: cost 11 inf + 9501 60.465 * * [simplify]: Extracting #8: cost 0 inf + 12893 60.470 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ 1 (* 3 (* v v)))) 4))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))) 60.470 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ 1 (* 3 (* v v)))) 4))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))))) 60.471 * * * * [progress]: [ 103 / 458 ] simplifiying candidate # 60.471 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 60.471 * * [simplify]: iters left: 6 (24 enodes) 60.486 * * [simplify]: iters left: 5 (103 enodes) 60.511 * * [simplify]: iters left: 4 (227 enodes) 60.577 * * [simplify]: Extracting #0: cost 1 inf + 0 60.577 * * [simplify]: Extracting #1: cost 4 inf + 0 60.577 * * [simplify]: Extracting #2: cost 8 inf + 0 60.578 * * [simplify]: Extracting #3: cost 34 inf + 0 60.578 * * [simplify]: Extracting #4: cost 98 inf + 1 60.579 * * [simplify]: Extracting #5: cost 129 inf + 291 60.581 * * [simplify]: Extracting #6: cost 133 inf + 3214 60.589 * * [simplify]: Extracting #7: cost 75 inf + 17253 60.604 * * [simplify]: Extracting #8: cost 39 inf + 25004 60.620 * * [simplify]: Extracting #9: cost 2 inf + 36677 60.638 * * [simplify]: Extracting #10: cost 0 inf + 37807 60.655 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (sqrt 2)))) 60.655 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) (sqrt 2)))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 60.656 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 60.656 * * [simplify]: iters left: 6 (14 enodes) 60.664 * * [simplify]: iters left: 5 (60 enodes) 60.682 * * [simplify]: iters left: 4 (104 enodes) 60.701 * * [simplify]: iters left: 3 (167 enodes) 60.765 * * [simplify]: iters left: 2 (211 enodes) 60.801 * * [simplify]: iters left: 1 (214 enodes) 60.838 * * [simplify]: Extracting #0: cost 1 inf + 0 60.838 * * [simplify]: Extracting #1: cost 4 inf + 0 60.839 * * [simplify]: Extracting #2: cost 8 inf + 0 60.839 * * [simplify]: Extracting #3: cost 18 inf + 0 60.839 * * [simplify]: Extracting #4: cost 29 inf + 2 60.839 * * [simplify]: Extracting #5: cost 31 inf + 209 60.840 * * [simplify]: Extracting #6: cost 28 inf + 741 60.841 * * [simplify]: Extracting #7: cost 24 inf + 1110 60.842 * * [simplify]: Extracting #8: cost 14 inf + 2782 60.845 * * [simplify]: Extracting #9: cost 2 inf + 5824 60.849 * * [simplify]: Extracting #10: cost 0 inf + 6592 60.852 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (+ 1 (* v v)))) 60.852 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (+ 1 (* v v)))))) 60.853 * * * * [progress]: [ 104 / 458 ] simplifiying candidate # 60.854 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 60.854 * * [simplify]: iters left: 6 (25 enodes) 60.870 * * [simplify]: iters left: 5 (115 enodes) 60.916 * * [simplify]: iters left: 4 (274 enodes) 61.041 * * [simplify]: Extracting #0: cost 1 inf + 0 61.041 * * [simplify]: Extracting #1: cost 4 inf + 0 61.041 * * [simplify]: Extracting #2: cost 8 inf + 0 61.041 * * [simplify]: Extracting #3: cost 23 inf + 0 61.041 * * [simplify]: Extracting #4: cost 72 inf + 0 61.042 * * [simplify]: Extracting #5: cost 102 inf + 166 61.043 * * [simplify]: Extracting #6: cost 155 inf + 2360 61.048 * * [simplify]: Extracting #7: cost 137 inf + 12944 61.057 * * [simplify]: Extracting #8: cost 35 inf + 34886 61.074 * * [simplify]: Extracting #9: cost 6 inf + 44885 61.095 * * [simplify]: Extracting #10: cost 0 inf + 47546 61.108 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 61.108 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 61.109 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 61.109 * * [simplify]: iters left: 6 (21 enodes) 61.116 * * [simplify]: iters left: 5 (96 enodes) 61.138 * * [simplify]: iters left: 4 (206 enodes) 61.203 * * [simplify]: iters left: 3 (349 enodes) 61.348 * * [simplify]: Extracting #0: cost 1 inf + 0 61.348 * * [simplify]: Extracting #1: cost 4 inf + 0 61.348 * * [simplify]: Extracting #2: cost 8 inf + 0 61.348 * * [simplify]: Extracting #3: cost 21 inf + 0 61.348 * * [simplify]: Extracting #4: cost 35 inf + 2 61.349 * * [simplify]: Extracting #5: cost 44 inf + 250 61.349 * * [simplify]: Extracting #6: cost 64 inf + 1233 61.352 * * [simplify]: Extracting #7: cost 57 inf + 3840 61.355 * * [simplify]: Extracting #8: cost 35 inf + 7019 61.362 * * [simplify]: Extracting #9: cost 7 inf + 12955 61.374 * * [simplify]: Extracting #10: cost 1 inf + 14818 61.383 * * [simplify]: Extracting #11: cost 0 inf + 15463 61.391 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v v) (+ (* (* v v) 9) 3)) 1)))) (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))))) 61.391 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (sqrt (+ (* (* v v) (+ (* (* v v) 9) 3)) 1)))) (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))))))) 61.391 * * * * [progress]: [ 105 / 458 ] simplifiying candidate # 61.392 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 61.392 * * [simplify]: iters left: 6 (20 enodes) 61.401 * * [simplify]: iters left: 5 (88 enodes) 61.418 * * [simplify]: iters left: 4 (191 enodes) 61.496 * * [simplify]: iters left: 3 (435 enodes) 61.722 * * [simplify]: Extracting #0: cost 1 inf + 0 61.722 * * [simplify]: Extracting #1: cost 4 inf + 0 61.722 * * [simplify]: Extracting #2: cost 8 inf + 0 61.722 * * [simplify]: Extracting #3: cost 30 inf + 0 61.723 * * [simplify]: Extracting #4: cost 98 inf + 1 61.724 * * [simplify]: Extracting #5: cost 142 inf + 248 61.726 * * [simplify]: Extracting #6: cost 127 inf + 3990 61.731 * * [simplify]: Extracting #7: cost 95 inf + 11318 61.742 * * [simplify]: Extracting #8: cost 49 inf + 21043 61.765 * * [simplify]: Extracting #9: cost 5 inf + 35877 61.790 * * [simplify]: Extracting #10: cost 0 inf + 37615 61.816 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 61.816 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 61.817 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 61.817 * * [simplify]: iters left: 6 (14 enodes) 61.829 * * [simplify]: iters left: 5 (60 enodes) 61.851 * * [simplify]: iters left: 4 (104 enodes) 61.887 * * [simplify]: iters left: 3 (167 enodes) 61.922 * * [simplify]: iters left: 2 (211 enodes) 61.968 * * [simplify]: iters left: 1 (214 enodes) 61.989 * * [simplify]: Extracting #0: cost 1 inf + 0 61.989 * * [simplify]: Extracting #1: cost 4 inf + 0 61.989 * * [simplify]: Extracting #2: cost 8 inf + 0 61.989 * * [simplify]: Extracting #3: cost 17 inf + 0 61.989 * * [simplify]: Extracting #4: cost 28 inf + 2 61.989 * * [simplify]: Extracting #5: cost 32 inf + 168 61.990 * * [simplify]: Extracting #6: cost 29 inf + 619 61.991 * * [simplify]: Extracting #7: cost 26 inf + 866 61.992 * * [simplify]: Extracting #8: cost 15 inf + 2782 61.995 * * [simplify]: Extracting #9: cost 2 inf + 6028 61.999 * * [simplify]: Extracting #10: cost 0 inf + 6756 62.002 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))) 62.002 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))))) 62.003 * * * * [progress]: [ 106 / 458 ] simplifiying candidate # 62.003 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 62.003 * * [simplify]: iters left: 6 (27 enodes) 62.020 * * [simplify]: iters left: 5 (123 enodes) 62.047 * * [simplify]: iters left: 4 (294 enodes) 62.198 * * [simplify]: Extracting #0: cost 1 inf + 0 62.198 * * [simplify]: Extracting #1: cost 4 inf + 0 62.198 * * [simplify]: Extracting #2: cost 8 inf + 0 62.198 * * [simplify]: Extracting #3: cost 32 inf + 0 62.199 * * [simplify]: Extracting #4: cost 93 inf + 1 62.199 * * [simplify]: Extracting #5: cost 118 inf + 574 62.200 * * [simplify]: Extracting #6: cost 168 inf + 3581 62.204 * * [simplify]: Extracting #7: cost 145 inf + 15593 62.212 * * [simplify]: Extracting #8: cost 43 inf + 35427 62.226 * * [simplify]: Extracting #9: cost 4 inf + 48903 62.242 * * [simplify]: Extracting #10: cost 0 inf + 51445 62.257 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) 62.257 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 62.257 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 62.258 * * [simplify]: iters left: 6 (20 enodes) 62.264 * * [simplify]: iters left: 5 (92 enodes) 62.296 * * [simplify]: iters left: 4 (202 enodes) 62.385 * * [simplify]: iters left: 3 (344 enodes) 62.534 * * [simplify]: Extracting #0: cost 1 inf + 0 62.534 * * [simplify]: Extracting #1: cost 4 inf + 0 62.535 * * [simplify]: Extracting #2: cost 8 inf + 0 62.535 * * [simplify]: Extracting #3: cost 21 inf + 0 62.535 * * [simplify]: Extracting #4: cost 38 inf + 2 62.535 * * [simplify]: Extracting #5: cost 70 inf + 250 62.536 * * [simplify]: Extracting #6: cost 61 inf + 2656 62.539 * * [simplify]: Extracting #7: cost 31 inf + 7086 62.543 * * [simplify]: Extracting #8: cost 7 inf + 12253 62.548 * * [simplify]: Extracting #9: cost 1 inf + 13715 62.552 * * [simplify]: Extracting #10: cost 0 inf + 14239 62.556 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (* v v) 4)))) (sqrt (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)))) 62.556 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (* v v) 4)))) (sqrt (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)))))) 62.556 * * * * [progress]: [ 107 / 458 ] simplifiying candidate # 62.556 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 62.556 * * [simplify]: iters left: 6 (23 enodes) 62.566 * * [simplify]: iters left: 5 (99 enodes) 62.592 * * [simplify]: iters left: 4 (214 enodes) 62.666 * * [simplify]: Extracting #0: cost 1 inf + 0 62.666 * * [simplify]: Extracting #1: cost 4 inf + 0 62.666 * * [simplify]: Extracting #2: cost 8 inf + 0 62.666 * * [simplify]: Extracting #3: cost 36 inf + 0 62.667 * * [simplify]: Extracting #4: cost 94 inf + 1 62.668 * * [simplify]: Extracting #5: cost 106 inf + 985 62.671 * * [simplify]: Extracting #6: cost 106 inf + 4315 62.677 * * [simplify]: Extracting #7: cost 91 inf + 7329 62.688 * * [simplify]: Extracting #8: cost 18 inf + 25620 62.704 * * [simplify]: Extracting #9: cost 2 inf + 31768 62.720 * * [simplify]: Extracting #10: cost 0 inf + 32898 62.734 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) 4) (sqrt 2)) (- 1 (* v v))))) 62.734 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) 4) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 62.734 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 62.734 * * [simplify]: iters left: 6 (14 enodes) 62.739 * * [simplify]: iters left: 5 (60 enodes) 62.751 * * [simplify]: iters left: 4 (104 enodes) 62.777 * * [simplify]: iters left: 3 (167 enodes) 62.818 * * [simplify]: iters left: 2 (211 enodes) 62.878 * * [simplify]: iters left: 1 (214 enodes) 62.920 * * [simplify]: Extracting #0: cost 1 inf + 0 62.920 * * [simplify]: Extracting #1: cost 4 inf + 0 62.920 * * [simplify]: Extracting #2: cost 8 inf + 0 62.921 * * [simplify]: Extracting #3: cost 18 inf + 0 62.921 * * [simplify]: Extracting #4: cost 30 inf + 2 62.921 * * [simplify]: Extracting #5: cost 35 inf + 168 62.922 * * [simplify]: Extracting #6: cost 27 inf + 744 62.923 * * [simplify]: Extracting #7: cost 16 inf + 2497 62.926 * * [simplify]: Extracting #8: cost 2 inf + 5946 62.930 * * [simplify]: Extracting #9: cost 0 inf + 6674 62.933 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 62.933 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 62.934 * * * * [progress]: [ 108 / 458 ] simplifiying candidate # 62.934 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 62.934 * * [simplify]: iters left: 6 (23 enodes) 62.947 * * [simplify]: iters left: 5 (100 enodes) 62.985 * * [simplify]: iters left: 4 (216 enodes) 63.055 * * [simplify]: iters left: 3 (478 enodes) 63.282 * * [simplify]: Extracting #0: cost 1 inf + 0 63.283 * * [simplify]: Extracting #1: cost 4 inf + 0 63.283 * * [simplify]: Extracting #2: cost 8 inf + 0 63.283 * * [simplify]: Extracting #3: cost 31 inf + 0 63.283 * * [simplify]: Extracting #4: cost 111 inf + 1 63.285 * * [simplify]: Extracting #5: cost 177 inf + 290 63.290 * * [simplify]: Extracting #6: cost 133 inf + 13158 63.311 * * [simplify]: Extracting #7: cost 34 inf + 41982 63.341 * * [simplify]: Extracting #8: cost 0 inf + 48144 63.367 * * [simplify]: Extracting #9: cost 0 inf + 48104 63.382 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* v v))))) 63.382 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt 4)))) 63.382 * [simplify]: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt 4)) 63.383 * * [simplify]: iters left: 6 (14 enodes) 63.388 * * [simplify]: iters left: 5 (61 enodes) 63.403 * * [simplify]: iters left: 4 (105 enodes) 63.426 * * [simplify]: iters left: 3 (168 enodes) 63.470 * * [simplify]: iters left: 2 (211 enodes) 63.529 * * [simplify]: iters left: 1 (214 enodes) 63.569 * * [simplify]: Extracting #0: cost 1 inf + 0 63.570 * * [simplify]: Extracting #1: cost 4 inf + 0 63.570 * * [simplify]: Extracting #2: cost 5 inf + 1 63.570 * * [simplify]: Extracting #3: cost 14 inf + 1 63.570 * * [simplify]: Extracting #4: cost 26 inf + 3 63.570 * * [simplify]: Extracting #5: cost 31 inf + 127 63.571 * * [simplify]: Extracting #6: cost 27 inf + 662 63.572 * * [simplify]: Extracting #7: cost 24 inf + 867 63.573 * * [simplify]: Extracting #8: cost 11 inf + 3189 63.576 * * [simplify]: Extracting #9: cost 2 inf + 5502 63.580 * * [simplify]: Extracting #10: cost 0 inf + 6191 63.583 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))) 2) 63.583 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))) 2))) 63.583 * * * * [progress]: [ 109 / 458 ] simplifiying candidate # 63.584 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 63.584 * * [simplify]: iters left: 6 (22 enodes) 63.598 * * [simplify]: iters left: 5 (101 enodes) 63.641 * * [simplify]: iters left: 4 (247 enodes) 63.753 * * [simplify]: Extracting #0: cost 1 inf + 0 63.753 * * [simplify]: Extracting #1: cost 4 inf + 0 63.754 * * [simplify]: Extracting #2: cost 8 inf + 0 63.754 * * [simplify]: Extracting #3: cost 27 inf + 0 63.754 * * [simplify]: Extracting #4: cost 98 inf + 1 63.754 * * [simplify]: Extracting #5: cost 149 inf + 495 63.755 * * [simplify]: Extracting #6: cost 200 inf + 909 63.758 * * [simplify]: Extracting #7: cost 161 inf + 22279 63.769 * * [simplify]: Extracting #8: cost 12 inf + 70080 63.788 * * [simplify]: Extracting #9: cost 0 inf + 65201 63.806 * * [simplify]: Extracting #10: cost 0 inf + 64961 63.829 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4))))) 63.830 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 63.830 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 63.830 * * [simplify]: iters left: 6 (22 enodes) 63.838 * * [simplify]: iters left: 5 (106 enodes) 63.873 * * [simplify]: iters left: 4 (279 enodes) 63.976 * * [simplify]: Extracting #0: cost 1 inf + 0 63.976 * * [simplify]: Extracting #1: cost 4 inf + 0 63.976 * * [simplify]: Extracting #2: cost 8 inf + 0 63.976 * * [simplify]: Extracting #3: cost 40 inf + 0 63.977 * * [simplify]: Extracting #4: cost 85 inf + 2 63.977 * * [simplify]: Extracting #5: cost 100 inf + 208 63.978 * * [simplify]: Extracting #6: cost 87 inf + 4233 63.983 * * [simplify]: Extracting #7: cost 34 inf + 20862 64.001 * * [simplify]: Extracting #8: cost 1 inf + 29478 64.019 * * [simplify]: Extracting #9: cost 0 inf + 30040 64.038 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) 4))) 64.038 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) 4))))) 64.039 * * * * [progress]: [ 110 / 458 ] simplifiying candidate # 64.039 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 64.040 * * [simplify]: iters left: 6 (25 enodes) 64.054 * * [simplify]: iters left: 5 (113 enodes) 64.082 * * [simplify]: iters left: 4 (270 enodes) 64.203 * * [simplify]: Extracting #0: cost 1 inf + 0 64.204 * * [simplify]: Extracting #1: cost 4 inf + 0 64.204 * * [simplify]: Extracting #2: cost 8 inf + 0 64.204 * * [simplify]: Extracting #3: cost 33 inf + 0 64.204 * * [simplify]: Extracting #4: cost 104 inf + 1 64.204 * * [simplify]: Extracting #5: cost 152 inf + 413 64.205 * * [simplify]: Extracting #6: cost 204 inf + 1080 64.208 * * [simplify]: Extracting #7: cost 179 inf + 19493 64.218 * * [simplify]: Extracting #8: cost 26 inf + 62032 64.232 * * [simplify]: Extracting #9: cost 0 inf + 65651 64.254 * * [simplify]: Extracting #10: cost 0 inf + 64841 64.270 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) 64.270 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 64.270 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 64.270 * * [simplify]: iters left: 6 (23 enodes) 64.278 * * [simplify]: iters left: 5 (111 enodes) 64.326 * * [simplify]: iters left: 4 (269 enodes) 64.432 * * [simplify]: Extracting #0: cost 1 inf + 0 64.432 * * [simplify]: Extracting #1: cost 4 inf + 0 64.432 * * [simplify]: Extracting #2: cost 8 inf + 0 64.432 * * [simplify]: Extracting #3: cost 30 inf + 0 64.433 * * [simplify]: Extracting #4: cost 59 inf + 2 64.433 * * [simplify]: Extracting #5: cost 75 inf + 248 64.435 * * [simplify]: Extracting #6: cost 67 inf + 2978 64.438 * * [simplify]: Extracting #7: cost 56 inf + 6065 64.445 * * [simplify]: Extracting #8: cost 12 inf + 16186 64.452 * * [simplify]: Extracting #9: cost 2 inf + 19981 64.458 * * [simplify]: Extracting #10: cost 0 inf + 20989 64.465 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (* (+ (* v v) 1) 4) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) 64.465 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (* (+ (* v v) 1) 4) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))))) 64.466 * * * * [progress]: [ 111 / 458 ] simplifiying candidate # 64.466 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 64.466 * * [simplify]: iters left: 6 (26 enodes) 64.475 * * [simplify]: iters left: 5 (120 enodes) 64.525 * * [simplify]: iters left: 4 (305 enodes) 64.671 * * [simplify]: Extracting #0: cost 1 inf + 0 64.671 * * [simplify]: Extracting #1: cost 4 inf + 0 64.671 * * [simplify]: Extracting #2: cost 8 inf + 0 64.671 * * [simplify]: Extracting #3: cost 32 inf + 0 64.672 * * [simplify]: Extracting #4: cost 114 inf + 1 64.673 * * [simplify]: Extracting #5: cost 188 inf + 331 64.675 * * [simplify]: Extracting #6: cost 259 inf + 1834 64.677 * * [simplify]: Extracting #7: cost 236 inf + 13858 64.686 * * [simplify]: Extracting #8: cost 95 inf + 44729 64.702 * * [simplify]: Extracting #9: cost 1 inf + 79120 64.736 * * [simplify]: Extracting #10: cost 0 inf + 79364 64.755 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 64.755 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 64.756 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 64.756 * * [simplify]: iters left: 6 (24 enodes) 64.764 * * [simplify]: iters left: 5 (114 enodes) 64.790 * * [simplify]: iters left: 4 (283 enodes) 64.933 * * [simplify]: Extracting #0: cost 1 inf + 0 64.933 * * [simplify]: Extracting #1: cost 4 inf + 0 64.933 * * [simplify]: Extracting #2: cost 8 inf + 0 64.934 * * [simplify]: Extracting #3: cost 42 inf + 0 64.934 * * [simplify]: Extracting #4: cost 98 inf + 2 64.934 * * [simplify]: Extracting #5: cost 122 inf + 3 64.935 * * [simplify]: Extracting #6: cost 133 inf + 655 64.936 * * [simplify]: Extracting #7: cost 110 inf + 4763 64.941 * * [simplify]: Extracting #8: cost 40 inf + 21281 64.950 * * [simplify]: Extracting #9: cost 2 inf + 32492 64.967 * * [simplify]: Extracting #10: cost 0 inf + 33058 64.976 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 4 (+ (* v v) (* (* v v) (* v v)))) 4))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))) 64.976 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 4 (+ (* v v) (* (* v v) (* v v)))) 4))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))))) 64.977 * * * * [progress]: [ 112 / 458 ] simplifiying candidate # 64.977 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 64.977 * * [simplify]: iters left: 6 (28 enodes) 64.987 * * [simplify]: iters left: 5 (131 enodes) 65.024 * * [simplify]: iters left: 4 (315 enodes) 65.146 * * [simplify]: Extracting #0: cost 1 inf + 0 65.146 * * [simplify]: Extracting #1: cost 4 inf + 0 65.146 * * [simplify]: Extracting #2: cost 8 inf + 0 65.146 * * [simplify]: Extracting #3: cost 34 inf + 0 65.147 * * [simplify]: Extracting #4: cost 108 inf + 1 65.148 * * [simplify]: Extracting #5: cost 167 inf + 331 65.149 * * [simplify]: Extracting #6: cost 239 inf + 957 65.153 * * [simplify]: Extracting #7: cost 200 inf + 21781 65.164 * * [simplify]: Extracting #8: cost 22 inf + 67117 65.180 * * [simplify]: Extracting #9: cost 2 inf + 68567 65.208 * * [simplify]: Extracting #10: cost 0 inf + 70079 65.226 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) 65.226 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 65.226 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 65.227 * * [simplify]: iters left: 6 (25 enodes) 65.236 * * [simplify]: iters left: 5 (118 enodes) 65.268 * * [simplify]: iters left: 4 (270 enodes) 65.355 * * [simplify]: Extracting #0: cost 1 inf + 0 65.355 * * [simplify]: Extracting #1: cost 4 inf + 0 65.355 * * [simplify]: Extracting #2: cost 8 inf + 0 65.355 * * [simplify]: Extracting #3: cost 36 inf + 0 65.356 * * [simplify]: Extracting #4: cost 67 inf + 2 65.356 * * [simplify]: Extracting #5: cost 86 inf + 207 65.357 * * [simplify]: Extracting #6: cost 85 inf + 2202 65.360 * * [simplify]: Extracting #7: cost 71 inf + 5614 65.366 * * [simplify]: Extracting #8: cost 24 inf + 15786 65.376 * * [simplify]: Extracting #9: cost 3 inf + 21934 65.383 * * [simplify]: Extracting #10: cost 0 inf + 23145 65.389 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* v v) 1) 4)))) 65.389 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* v v) 1) 4)))))) 65.390 * * * * [progress]: [ 113 / 458 ] simplifiying candidate # 65.390 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 65.390 * * [simplify]: iters left: 6 (19 enodes) 65.400 * * [simplify]: iters left: 5 (87 enodes) 65.426 * * [simplify]: iters left: 4 (230 enodes) 65.515 * * [simplify]: Extracting #0: cost 1 inf + 0 65.515 * * [simplify]: Extracting #1: cost 19 inf + 0 65.515 * * [simplify]: Extracting #2: cost 75 inf + 1 65.516 * * [simplify]: Extracting #3: cost 131 inf + 44 65.517 * * [simplify]: Extracting #4: cost 183 inf + 622 65.522 * * [simplify]: Extracting #5: cost 161 inf + 16086 65.531 * * [simplify]: Extracting #6: cost 11 inf + 61599 65.545 * * [simplify]: Extracting #7: cost 0 inf + 59723 65.558 * * [simplify]: Extracting #8: cost 0 inf + 59463 65.570 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* (* v (* v 3)) (* v (* v 3))) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) 65.570 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* (* v (* v 3)) (* v (* v 3))) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 65.571 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 65.571 * * [simplify]: iters left: 6 (18 enodes) 65.584 * * [simplify]: iters left: 5 (82 enodes) 65.607 * * [simplify]: iters left: 4 (205 enodes) 65.698 * * [simplify]: iters left: 3 (402 enodes) 65.828 * * [simplify]: Extracting #0: cost 1 inf + 0 65.828 * * [simplify]: Extracting #1: cost 13 inf + 0 65.828 * * [simplify]: Extracting #2: cost 37 inf + 1 65.829 * * [simplify]: Extracting #3: cost 56 inf + 43 65.830 * * [simplify]: Extracting #4: cost 62 inf + 1223 65.832 * * [simplify]: Extracting #5: cost 46 inf + 4193 65.835 * * [simplify]: Extracting #6: cost 11 inf + 12014 65.841 * * [simplify]: Extracting #7: cost 1 inf + 15724 65.849 * * [simplify]: Extracting #8: cost 0 inf + 16047 65.855 * [simplify]: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) 65.855 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* (* v (* v 3)) (* v (* v 3))) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))) 65.855 * * * * [progress]: [ 114 / 458 ] simplifiying candidate # 65.855 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 65.856 * * [simplify]: iters left: 6 (24 enodes) 65.867 * * [simplify]: iters left: 5 (110 enodes) 65.902 * * [simplify]: iters left: 4 (273 enodes) 66.011 * * [simplify]: Extracting #0: cost 1 inf + 0 66.011 * * [simplify]: Extracting #1: cost 4 inf + 0 66.011 * * [simplify]: Extracting #2: cost 8 inf + 0 66.012 * * [simplify]: Extracting #3: cost 36 inf + 0 66.012 * * [simplify]: Extracting #4: cost 108 inf + 1 66.013 * * [simplify]: Extracting #5: cost 157 inf + 331 66.015 * * [simplify]: Extracting #6: cost 210 inf + 957 66.020 * * [simplify]: Extracting #7: cost 185 inf + 19814 66.032 * * [simplify]: Extracting #8: cost 21 inf + 68918 66.050 * * [simplify]: Extracting #9: cost 1 inf + 66680 66.066 * * [simplify]: Extracting #10: cost 0 inf + 67275 66.081 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 66.081 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 66.082 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 66.082 * * [simplify]: iters left: 6 (21 enodes) 66.094 * * [simplify]: iters left: 5 (102 enodes) 66.135 * * [simplify]: iters left: 4 (235 enodes) 66.222 * * [simplify]: iters left: 3 (427 enodes) 66.376 * * [simplify]: Extracting #0: cost 1 inf + 0 66.376 * * [simplify]: Extracting #1: cost 4 inf + 0 66.376 * * [simplify]: Extracting #2: cost 8 inf + 0 66.377 * * [simplify]: Extracting #3: cost 18 inf + 0 66.377 * * [simplify]: Extracting #4: cost 39 inf + 1 66.377 * * [simplify]: Extracting #5: cost 57 inf + 43 66.377 * * [simplify]: Extracting #6: cost 66 inf + 1263 66.379 * * [simplify]: Extracting #7: cost 49 inf + 4445 66.383 * * [simplify]: Extracting #8: cost 11 inf + 13423 66.389 * * [simplify]: Extracting #9: cost 0 inf + 17253 66.400 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) 66.401 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))))) 66.401 * * * * [progress]: [ 115 / 458 ] simplifiying candidate # 66.402 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 66.402 * * [simplify]: iters left: 6 (26 enodes) 66.419 * * [simplify]: iters left: 5 (122 enodes) 66.473 * * [simplify]: iters left: 4 (317 enodes) 66.590 * * [simplify]: Extracting #0: cost 1 inf + 0 66.590 * * [simplify]: Extracting #1: cost 4 inf + 0 66.590 * * [simplify]: Extracting #2: cost 8 inf + 0 66.591 * * [simplify]: Extracting #3: cost 37 inf + 0 66.591 * * [simplify]: Extracting #4: cost 129 inf + 1 66.592 * * [simplify]: Extracting #5: cost 204 inf + 167 66.594 * * [simplify]: Extracting #6: cost 267 inf + 2200 66.605 * * [simplify]: Extracting #7: cost 205 inf + 25899 66.620 * * [simplify]: Extracting #8: cost 66 inf + 61206 66.644 * * [simplify]: Extracting #9: cost 9 inf + 82634 66.682 * * [simplify]: Extracting #10: cost 0 inf + 86392 66.719 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) 27) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) 66.720 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) 27) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 66.720 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 66.721 * * [simplify]: iters left: 6 (22 enodes) 66.734 * * [simplify]: iters left: 5 (105 enodes) 66.777 * * [simplify]: iters left: 4 (238 enodes) 66.871 * * [simplify]: Extracting #0: cost 1 inf + 0 66.871 * * [simplify]: Extracting #1: cost 4 inf + 0 66.871 * * [simplify]: Extracting #2: cost 8 inf + 0 66.871 * * [simplify]: Extracting #3: cost 34 inf + 0 66.871 * * [simplify]: Extracting #4: cost 66 inf + 1 66.872 * * [simplify]: Extracting #5: cost 80 inf + 206 66.873 * * [simplify]: Extracting #6: cost 76 inf + 2966 66.879 * * [simplify]: Extracting #7: cost 42 inf + 12722 66.891 * * [simplify]: Extracting #8: cost 3 inf + 21427 66.904 * * [simplify]: Extracting #9: cost 1 inf + 22473 66.915 * * [simplify]: Extracting #10: cost 0 inf + 23156 66.922 * [simplify]: Simplified to (* (sqrt (+ (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (* v v) (+ 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* 3 (* v v))))))) 66.922 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) 27) (* v v)))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (* v v) (+ 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* 3 (* v v))))))))) 66.922 * * * * [progress]: [ 116 / 458 ] simplifiying candidate # 66.923 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 66.923 * * [simplify]: iters left: 6 (28 enodes) 66.933 * * [simplify]: iters left: 5 (133 enodes) 66.973 * * [simplify]: iters left: 4 (329 enodes) 67.102 * * [simplify]: Extracting #0: cost 1 inf + 0 67.102 * * [simplify]: Extracting #1: cost 4 inf + 0 67.102 * * [simplify]: Extracting #2: cost 8 inf + 0 67.102 * * [simplify]: Extracting #3: cost 41 inf + 0 67.102 * * [simplify]: Extracting #4: cost 125 inf + 1 67.103 * * [simplify]: Extracting #5: cost 186 inf + 249 67.104 * * [simplify]: Extracting #6: cost 244 inf + 3544 67.108 * * [simplify]: Extracting #7: cost 177 inf + 26148 67.120 * * [simplify]: Extracting #8: cost 45 inf + 62315 67.136 * * [simplify]: Extracting #9: cost 5 inf + 72946 67.158 * * [simplify]: Extracting #10: cost 0 inf + 75448 67.191 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4))))) 67.191 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 67.192 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 67.192 * * [simplify]: iters left: 6 (23 enodes) 67.209 * * [simplify]: iters left: 5 (109 enodes) 67.253 * * [simplify]: iters left: 4 (232 enodes) 67.323 * * [simplify]: iters left: 3 (437 enodes) 67.465 * * [simplify]: Extracting #0: cost 1 inf + 0 67.465 * * [simplify]: Extracting #1: cost 4 inf + 0 67.465 * * [simplify]: Extracting #2: cost 8 inf + 0 67.465 * * [simplify]: Extracting #3: cost 22 inf + 0 67.465 * * [simplify]: Extracting #4: cost 47 inf + 1 67.466 * * [simplify]: Extracting #5: cost 63 inf + 206 67.466 * * [simplify]: Extracting #6: cost 74 inf + 1871 67.468 * * [simplify]: Extracting #7: cost 58 inf + 5615 67.472 * * [simplify]: Extracting #8: cost 10 inf + 16872 67.479 * * [simplify]: Extracting #9: cost 0 inf + 20462 67.485 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))) 67.485 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) (* (* (* v v) (* v v)) 27)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))))) 67.486 * * * * [progress]: [ 117 / 458 ] simplifiying candidate # 67.486 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 67.486 * * [simplify]: iters left: 6 (24 enodes) 67.496 * * [simplify]: iters left: 5 (111 enodes) 67.521 * * [simplify]: iters left: 4 (285 enodes) 67.666 * * [simplify]: Extracting #0: cost 1 inf + 0 67.666 * * [simplify]: Extracting #1: cost 4 inf + 0 67.666 * * [simplify]: Extracting #2: cost 8 inf + 0 67.666 * * [simplify]: Extracting #3: cost 30 inf + 0 67.667 * * [simplify]: Extracting #4: cost 112 inf + 1 67.667 * * [simplify]: Extracting #5: cost 187 inf + 290 67.669 * * [simplify]: Extracting #6: cost 224 inf + 8214 67.679 * * [simplify]: Extracting #7: cost 117 inf + 53958 67.706 * * [simplify]: Extracting #8: cost 12 inf + 74175 67.738 * * [simplify]: Extracting #9: cost 0 inf + 77765 67.763 * * [simplify]: Extracting #10: cost 0 inf + 77514 67.779 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2)))) 67.780 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2)))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 67.780 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 67.780 * * [simplify]: iters left: 6 (21 enodes) 67.788 * * [simplify]: iters left: 5 (101 enodes) 67.826 * * [simplify]: iters left: 4 (245 enodes) 67.909 * * [simplify]: Extracting #0: cost 1 inf + 0 67.909 * * [simplify]: Extracting #1: cost 4 inf + 0 67.909 * * [simplify]: Extracting #2: cost 8 inf + 0 67.909 * * [simplify]: Extracting #3: cost 34 inf + 0 67.910 * * [simplify]: Extracting #4: cost 65 inf + 2 67.911 * * [simplify]: Extracting #5: cost 78 inf + 210 67.913 * * [simplify]: Extracting #6: cost 62 inf + 4594 67.917 * * [simplify]: Extracting #7: cost 47 inf + 8211 67.926 * * [simplify]: Extracting #8: cost 4 inf + 18727 67.936 * * [simplify]: Extracting #9: cost 0 inf + 20420 67.942 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) (+ 1 (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))) 67.942 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2)))) (* (sqrt (* (+ (* v v) (+ 1 (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))))) 67.943 * * * * [progress]: [ 118 / 458 ] simplifiying candidate # 67.943 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 67.943 * * [simplify]: iters left: 6 (27 enodes) 67.952 * * [simplify]: iters left: 5 (122 enodes) 67.980 * * [simplify]: iters left: 4 (295 enodes) 68.119 * * [simplify]: Extracting #0: cost 1 inf + 0 68.119 * * [simplify]: Extracting #1: cost 4 inf + 0 68.119 * * [simplify]: Extracting #2: cost 8 inf + 0 68.119 * * [simplify]: Extracting #3: cost 34 inf + 0 68.119 * * [simplify]: Extracting #4: cost 105 inf + 1 68.120 * * [simplify]: Extracting #5: cost 165 inf + 290 68.122 * * [simplify]: Extracting #6: cost 223 inf + 1250 68.127 * * [simplify]: Extracting #7: cost 171 inf + 23821 68.139 * * [simplify]: Extracting #8: cost 27 inf + 60379 68.153 * * [simplify]: Extracting #9: cost 5 inf + 65983 68.177 * * [simplify]: Extracting #10: cost 0 inf + 68723 68.206 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 68.206 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 68.206 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 68.207 * * [simplify]: iters left: 6 (22 enodes) 68.221 * * [simplify]: iters left: 5 (105 enodes) 68.250 * * [simplify]: iters left: 4 (239 enodes) 68.350 * * [simplify]: iters left: 3 (434 enodes) 68.506 * * [simplify]: Extracting #0: cost 1 inf + 0 68.506 * * [simplify]: Extracting #1: cost 4 inf + 0 68.506 * * [simplify]: Extracting #2: cost 8 inf + 0 68.506 * * [simplify]: Extracting #3: cost 22 inf + 0 68.507 * * [simplify]: Extracting #4: cost 45 inf + 2 68.507 * * [simplify]: Extracting #5: cost 56 inf + 1421 68.509 * * [simplify]: Extracting #6: cost 58 inf + 3077 68.512 * * [simplify]: Extracting #7: cost 45 inf + 5421 68.519 * * [simplify]: Extracting #8: cost 10 inf + 13751 68.533 * * [simplify]: Extracting #9: cost 0 inf + 17582 68.545 * [simplify]: Simplified to (* (sqrt (+ (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ 4 (* (* v v) 4)))) 68.545 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (+ (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ 4 (* (* v v) 4)))))) 68.546 * * * * [progress]: [ 119 / 458 ] simplifiying candidate # 68.546 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 68.547 * * [simplify]: iters left: 6 (24 enodes) 68.562 * * [simplify]: iters left: 5 (113 enodes) 68.590 * * [simplify]: iters left: 4 (297 enodes) 68.724 * * [simplify]: Extracting #0: cost 1 inf + 0 68.724 * * [simplify]: Extracting #1: cost 4 inf + 0 68.725 * * [simplify]: Extracting #2: cost 8 inf + 0 68.725 * * [simplify]: Extracting #3: cost 35 inf + 0 68.725 * * [simplify]: Extracting #4: cost 124 inf + 1 68.727 * * [simplify]: Extracting #5: cost 198 inf + 413 68.730 * * [simplify]: Extracting #6: cost 234 inf + 11996 68.744 * * [simplify]: Extracting #7: cost 150 inf + 45616 68.775 * * [simplify]: Extracting #8: cost 10 inf + 81230 68.794 * * [simplify]: Extracting #9: cost 0 inf + 83795 68.812 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) 68.812 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 68.813 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 68.813 * * [simplify]: iters left: 6 (19 enodes) 68.820 * * [simplify]: iters left: 5 (88 enodes) 68.853 * * [simplify]: iters left: 4 (210 enodes) 68.922 * * [simplify]: iters left: 3 (411 enodes) 69.111 * * [simplify]: Extracting #0: cost 1 inf + 0 69.111 * * [simplify]: Extracting #1: cost 4 inf + 0 69.111 * * [simplify]: Extracting #2: cost 8 inf + 0 69.111 * * [simplify]: Extracting #3: cost 22 inf + 0 69.111 * * [simplify]: Extracting #4: cost 47 inf + 1 69.112 * * [simplify]: Extracting #5: cost 52 inf + 449 69.112 * * [simplify]: Extracting #6: cost 58 inf + 2478 69.116 * * [simplify]: Extracting #7: cost 22 inf + 11840 69.121 * * [simplify]: Extracting #8: cost 1 inf + 16531 69.126 * * [simplify]: Extracting #9: cost 0 inf + 17094 69.137 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (+ (* v v) 1)) (* v v)))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) 69.137 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (+ (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (+ (* v v) 1)) (* v v)))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))))) 69.137 * * * * [progress]: [ 120 / 458 ] simplifiying candidate # 69.138 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 69.138 * * [simplify]: iters left: 6 (27 enodes) 69.155 * * [simplify]: iters left: 5 (124 enodes) 69.188 * * [simplify]: iters left: 4 (309 enodes) 69.326 * * [simplify]: Extracting #0: cost 1 inf + 0 69.326 * * [simplify]: Extracting #1: cost 4 inf + 0 69.326 * * [simplify]: Extracting #2: cost 8 inf + 0 69.326 * * [simplify]: Extracting #3: cost 41 inf + 0 69.327 * * [simplify]: Extracting #4: cost 128 inf + 1 69.328 * * [simplify]: Extracting #5: cost 187 inf + 413 69.332 * * [simplify]: Extracting #6: cost 213 inf + 16185 69.348 * * [simplify]: Extracting #7: cost 125 inf + 49563 69.377 * * [simplify]: Extracting #8: cost 10 inf + 72564 69.404 * * [simplify]: Extracting #9: cost 0 inf + 76147 69.424 * * [simplify]: Extracting #10: cost 0 inf + 76067 69.449 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* v v) (* v v)))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) 69.449 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* v v) (* v v)))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))))) 69.449 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) 69.449 * * [simplify]: iters left: 6 (20 enodes) 69.456 * * [simplify]: iters left: 5 (92 enodes) 69.481 * * [simplify]: iters left: 4 (211 enodes) 69.550 * * [simplify]: iters left: 3 (400 enodes) 69.719 * * [simplify]: Extracting #0: cost 1 inf + 0 69.719 * * [simplify]: Extracting #1: cost 4 inf + 0 69.719 * * [simplify]: Extracting #2: cost 8 inf + 0 69.719 * * [simplify]: Extracting #3: cost 20 inf + 0 69.719 * * [simplify]: Extracting #4: cost 41 inf + 1 69.720 * * [simplify]: Extracting #5: cost 56 inf + 125 69.720 * * [simplify]: Extracting #6: cost 60 inf + 1589 69.722 * * [simplify]: Extracting #7: cost 46 inf + 4436 69.726 * * [simplify]: Extracting #8: cost 11 inf + 12337 69.731 * * [simplify]: Extracting #9: cost 0 inf + 16690 69.737 * [simplify]: Simplified to (* (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ (* v v) 1))) 69.737 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (- 1 (* (* v v) (* v v)))) (/ (sqrt 2) 4))) (sqrt (* (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (+ (* v v) 1))))) 69.738 * * * * [progress]: [ 121 / 458 ] simplifiying candidate # 69.738 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 69.738 * * [simplify]: iters left: 6 (23 enodes) 69.746 * * [simplify]: iters left: 5 (107 enodes) 69.786 * * [simplify]: iters left: 4 (270 enodes) 69.924 * * [simplify]: Extracting #0: cost 1 inf + 0 69.924 * * [simplify]: Extracting #1: cost 4 inf + 0 69.925 * * [simplify]: Extracting #2: cost 8 inf + 0 69.925 * * [simplify]: Extracting #3: cost 31 inf + 0 69.925 * * [simplify]: Extracting #4: cost 104 inf + 1 69.926 * * [simplify]: Extracting #5: cost 158 inf + 496 69.928 * * [simplify]: Extracting #6: cost 190 inf + 4184 69.943 * * [simplify]: Extracting #7: cost 143 inf + 27412 69.970 * * [simplify]: Extracting #8: cost 17 inf + 63376 70.000 * * [simplify]: Extracting #9: cost 0 inf + 66443 70.028 * * [simplify]: Extracting #10: cost 0 inf + 66120 70.056 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) 70.056 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 70.057 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 70.057 * * [simplify]: iters left: 6 (21 enodes) 70.071 * * [simplify]: iters left: 5 (95 enodes) 70.111 * * [simplify]: iters left: 4 (217 enodes) 70.195 * * [simplify]: iters left: 3 (425 enodes) 70.353 * * [simplify]: Extracting #0: cost 1 inf + 0 70.353 * * [simplify]: Extracting #1: cost 4 inf + 0 70.353 * * [simplify]: Extracting #2: cost 8 inf + 0 70.353 * * [simplify]: Extracting #3: cost 19 inf + 0 70.353 * * [simplify]: Extracting #4: cost 40 inf + 2 70.354 * * [simplify]: Extracting #5: cost 54 inf + 801 70.354 * * [simplify]: Extracting #6: cost 62 inf + 2023 70.356 * * [simplify]: Extracting #7: cost 52 inf + 3879 70.359 * * [simplify]: Extracting #8: cost 13 inf + 12563 70.366 * * [simplify]: Extracting #9: cost 1 inf + 16853 70.377 * * [simplify]: Extracting #10: cost 0 inf + 17418 70.386 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))))) (sqrt (* (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))) 4))) 70.386 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))))) (sqrt (* (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))) 4))))) 70.386 * * * * [progress]: [ 122 / 458 ] simplifiying candidate # 70.386 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 70.387 * * [simplify]: iters left: 6 (27 enodes) 70.397 * * [simplify]: iters left: 5 (125 enodes) 70.424 * * [simplify]: iters left: 4 (315 enodes) 70.577 * * [simplify]: Extracting #0: cost 1 inf + 0 70.578 * * [simplify]: Extracting #1: cost 4 inf + 0 70.578 * * [simplify]: Extracting #2: cost 8 inf + 0 70.578 * * [simplify]: Extracting #3: cost 34 inf + 0 70.578 * * [simplify]: Extracting #4: cost 107 inf + 1 70.578 * * [simplify]: Extracting #5: cost 166 inf + 577 70.580 * * [simplify]: Extracting #6: cost 206 inf + 6859 70.585 * * [simplify]: Extracting #7: cost 167 inf + 22492 70.599 * * [simplify]: Extracting #8: cost 38 inf + 56842 70.613 * * [simplify]: Extracting #9: cost 5 inf + 66488 70.627 * * [simplify]: Extracting #10: cost 0 inf + 69231 70.654 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) 70.654 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 70.654 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 70.655 * * [simplify]: iters left: 6 (23 enodes) 70.665 * * [simplify]: iters left: 5 (102 enodes) 70.695 * * [simplify]: iters left: 4 (212 enodes) 70.781 * * [simplify]: iters left: 3 (408 enodes) 70.911 * * [simplify]: Extracting #0: cost 1 inf + 0 70.911 * * [simplify]: Extracting #1: cost 4 inf + 0 70.911 * * [simplify]: Extracting #2: cost 8 inf + 0 70.911 * * [simplify]: Extracting #3: cost 20 inf + 0 70.911 * * [simplify]: Extracting #4: cost 43 inf + 2 70.911 * * [simplify]: Extracting #5: cost 57 inf + 801 70.912 * * [simplify]: Extracting #6: cost 72 inf + 1799 70.915 * * [simplify]: Extracting #7: cost 55 inf + 5739 70.923 * * [simplify]: Extracting #8: cost 11 inf + 15334 70.935 * * [simplify]: Extracting #9: cost 1 inf + 19088 70.948 * * [simplify]: Extracting #10: cost 0 inf + 19332 70.959 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (+ (* (* (* v v) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (* v v)) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 70.960 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (+ (* (* (* v v) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (* v v)) (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 70.960 * * * * [progress]: [ 123 / 458 ] simplifiying candidate # 70.960 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 70.961 * * [simplify]: iters left: 6 (22 enodes) 70.974 * * [simplify]: iters left: 5 (104 enodes) 71.022 * * [simplify]: iters left: 4 (273 enodes) 71.117 * * [simplify]: Extracting #0: cost 1 inf + 0 71.117 * * [simplify]: Extracting #1: cost 4 inf + 0 71.117 * * [simplify]: Extracting #2: cost 8 inf + 0 71.117 * * [simplify]: Extracting #3: cost 34 inf + 0 71.117 * * [simplify]: Extracting #4: cost 109 inf + 1 71.118 * * [simplify]: Extracting #5: cost 164 inf + 373 71.121 * * [simplify]: Extracting #6: cost 185 inf + 5369 71.132 * * [simplify]: Extracting #7: cost 129 inf + 31282 71.160 * * [simplify]: Extracting #8: cost 13 inf + 61871 71.189 * * [simplify]: Extracting #9: cost 0 inf + 67232 71.222 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) 4)))) 71.222 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) 4)))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 71.223 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 71.223 * * [simplify]: iters left: 6 (19 enodes) 71.236 * * [simplify]: iters left: 5 (88 enodes) 71.273 * * [simplify]: iters left: 4 (210 enodes) 71.352 * * [simplify]: iters left: 3 (411 enodes) 71.530 * * [simplify]: Extracting #0: cost 1 inf + 0 71.530 * * [simplify]: Extracting #1: cost 4 inf + 0 71.530 * * [simplify]: Extracting #2: cost 8 inf + 0 71.530 * * [simplify]: Extracting #3: cost 18 inf + 0 71.531 * * [simplify]: Extracting #4: cost 43 inf + 1 71.531 * * [simplify]: Extracting #5: cost 79 inf + 43 71.533 * * [simplify]: Extracting #6: cost 68 inf + 2607 71.543 * * [simplify]: Extracting #7: cost 13 inf + 14133 71.557 * * [simplify]: Extracting #8: cost 0 inf + 17976 71.568 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))) (* (* (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))) (+ (* v v) 1)) (* v v)))) (sqrt (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))))) 71.568 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (sqrt 2) (- 1 (* v v))) 4))) (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) 4)))) (* (sqrt (+ (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))) (* (* (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))) (+ (* v v) 1)) (* v v)))) (sqrt (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)))))))) 71.569 * * * * [progress]: [ 124 / 458 ] simplifiying candidate # 71.569 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 71.570 * * [simplify]: iters left: 6 (27 enodes) 71.587 * * [simplify]: iters left: 5 (127 enodes) 71.640 * * [simplify]: iters left: 4 (329 enodes) 71.775 * * [simplify]: Extracting #0: cost 1 inf + 0 71.775 * * [simplify]: Extracting #1: cost 4 inf + 0 71.775 * * [simplify]: Extracting #2: cost 8 inf + 0 71.775 * * [simplify]: Extracting #3: cost 41 inf + 0 71.776 * * [simplify]: Extracting #4: cost 130 inf + 1 71.776 * * [simplify]: Extracting #5: cost 192 inf + 373 71.778 * * [simplify]: Extracting #6: cost 233 inf + 6668 71.781 * * [simplify]: Extracting #7: cost 205 inf + 16981 71.789 * * [simplify]: Extracting #8: cost 93 inf + 41703 71.813 * * [simplify]: Extracting #9: cost 4 inf + 73799 71.846 * * [simplify]: Extracting #10: cost 0 inf + 76218 71.880 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 9) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) 71.880 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 9) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 71.881 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 71.881 * * [simplify]: iters left: 6 (21 enodes) 71.894 * * [simplify]: iters left: 5 (95 enodes) 71.936 * * [simplify]: iters left: 4 (205 enodes) 72.012 * * [simplify]: iters left: 3 (404 enodes) 72.142 * * [simplify]: Extracting #0: cost 1 inf + 0 72.143 * * [simplify]: Extracting #1: cost 4 inf + 0 72.143 * * [simplify]: Extracting #2: cost 8 inf + 0 72.143 * * [simplify]: Extracting #3: cost 19 inf + 0 72.143 * * [simplify]: Extracting #4: cost 43 inf + 1 72.144 * * [simplify]: Extracting #5: cost 61 inf + 43 72.145 * * [simplify]: Extracting #6: cost 70 inf + 1795 72.152 * * [simplify]: Extracting #7: cost 28 inf + 12932 72.163 * * [simplify]: Extracting #8: cost 1 inf + 18957 72.178 * * [simplify]: Extracting #9: cost 0 inf + 19520 72.190 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (+ 1 (* v (* 3 v))) (* v (* 3 v))))))) (sqrt (sqrt (+ 1 (* v (* 3 v)))))) 72.190 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 9) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (+ 1 (* v (* 3 v))) (* v (* 3 v))))))) (sqrt (sqrt (+ 1 (* v (* 3 v)))))))) 72.191 * * * * [progress]: [ 125 / 458 ] simplifiying candidate # 72.191 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 72.192 * * [simplify]: iters left: 6 (25 enodes) 72.208 * * [simplify]: iters left: 5 (116 enodes) 72.240 * * [simplify]: iters left: 4 (294 enodes) 72.352 * * [simplify]: Extracting #0: cost 1 inf + 0 72.352 * * [simplify]: Extracting #1: cost 4 inf + 0 72.352 * * [simplify]: Extracting #2: cost 8 inf + 0 72.352 * * [simplify]: Extracting #3: cost 34 inf + 0 72.353 * * [simplify]: Extracting #4: cost 107 inf + 1 72.353 * * [simplify]: Extracting #5: cost 167 inf + 372 72.354 * * [simplify]: Extracting #6: cost 201 inf + 4880 72.361 * * [simplify]: Extracting #7: cost 143 inf + 30271 72.388 * * [simplify]: Extracting #8: cost 34 inf + 58293 72.415 * * [simplify]: Extracting #9: cost 3 inf + 66593 72.429 * * [simplify]: Extracting #10: cost 0 inf + 68047 72.443 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) 72.443 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)))) 72.443 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) 72.443 * * [simplify]: iters left: 6 (20 enodes) 72.451 * * [simplify]: iters left: 5 (92 enodes) 72.477 * * [simplify]: iters left: 4 (214 enodes) 72.539 * * [simplify]: iters left: 3 (410 enodes) 72.695 * * [simplify]: Extracting #0: cost 1 inf + 0 72.695 * * [simplify]: Extracting #1: cost 4 inf + 0 72.695 * * [simplify]: Extracting #2: cost 5 inf + 1 72.695 * * [simplify]: Extracting #3: cost 14 inf + 1 72.695 * * [simplify]: Extracting #4: cost 36 inf + 2 72.696 * * [simplify]: Extracting #5: cost 52 inf + 407 72.697 * * [simplify]: Extracting #6: cost 57 inf + 1829 72.700 * * [simplify]: Extracting #7: cost 44 inf + 4517 72.708 * * [simplify]: Extracting #8: cost 10 inf + 12332 72.717 * * [simplify]: Extracting #9: cost 0 inf + 16204 72.723 * [simplify]: Simplified to (* 2 (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) 72.723 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* 2 (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))))) 72.724 * * * * [progress]: [ 126 / 458 ] simplifiying candidate # 72.724 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 72.724 * * [simplify]: iters left: 6 (25 enodes) 72.733 * * [simplify]: iters left: 5 (113 enodes) 72.772 * * [simplify]: iters left: 4 (270 enodes) 72.871 * * [simplify]: Extracting #0: cost 1 inf + 0 72.871 * * [simplify]: Extracting #1: cost 4 inf + 0 72.872 * * [simplify]: Extracting #2: cost 8 inf + 0 72.872 * * [simplify]: Extracting #3: cost 33 inf + 0 72.872 * * [simplify]: Extracting #4: cost 102 inf + 1 72.873 * * [simplify]: Extracting #5: cost 150 inf + 413 72.875 * * [simplify]: Extracting #6: cost 202 inf + 1080 72.879 * * [simplify]: Extracting #7: cost 181 inf + 15688 72.900 * * [simplify]: Extracting #8: cost 18 inf + 63213 72.926 * * [simplify]: Extracting #9: cost 3 inf + 60728 72.940 * * [simplify]: Extracting #10: cost 0 inf + 61519 72.955 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) 72.955 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 72.955 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 72.956 * * [simplify]: iters left: 6 (23 enodes) 72.975 * * [simplify]: iters left: 5 (112 enodes) 73.025 * * [simplify]: iters left: 4 (280 enodes) 73.175 * * [simplify]: Extracting #0: cost 1 inf + 0 73.175 * * [simplify]: Extracting #1: cost 4 inf + 0 73.175 * * [simplify]: Extracting #2: cost 8 inf + 0 73.175 * * [simplify]: Extracting #3: cost 32 inf + 0 73.176 * * [simplify]: Extracting #4: cost 73 inf + 2 73.176 * * [simplify]: Extracting #5: cost 91 inf + 44 73.178 * * [simplify]: Extracting #6: cost 87 inf + 2528 73.182 * * [simplify]: Extracting #7: cost 68 inf + 6911 73.194 * * [simplify]: Extracting #8: cost 16 inf + 20504 73.210 * * [simplify]: Extracting #9: cost 2 inf + 25597 73.220 * * [simplify]: Extracting #10: cost 0 inf + 26685 73.231 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1))) (sqrt (* (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) 73.231 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1))) (sqrt (* (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) 73.231 * * * * [progress]: [ 127 / 458 ] simplifiying candidate # 73.232 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 73.234 * * [simplify]: iters left: 6 (23 enodes) 73.242 * * [simplify]: iters left: 5 (99 enodes) 73.264 * * [simplify]: iters left: 4 (227 enodes) 73.346 * * [simplify]: Extracting #0: cost 1 inf + 0 73.346 * * [simplify]: Extracting #1: cost 4 inf + 0 73.346 * * [simplify]: Extracting #2: cost 8 inf + 0 73.346 * * [simplify]: Extracting #3: cost 31 inf + 0 73.346 * * [simplify]: Extracting #4: cost 84 inf + 1 73.347 * * [simplify]: Extracting #5: cost 96 inf + 1753 73.348 * * [simplify]: Extracting #6: cost 133 inf + 3979 73.353 * * [simplify]: Extracting #7: cost 143 inf + 10228 73.364 * * [simplify]: Extracting #8: cost 57 inf + 27443 73.381 * * [simplify]: Extracting #9: cost 3 inf + 46195 73.392 * * [simplify]: Extracting #10: cost 0 inf + 47648 73.403 * [simplify]: Simplified to (* (sqrt (/ (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))))) 73.403 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 73.403 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 73.403 * * [simplify]: iters left: 6 (19 enodes) 73.410 * * [simplify]: iters left: 5 (94 enodes) 73.454 * * [simplify]: iters left: 4 (214 enodes) 73.550 * * [simplify]: iters left: 3 (360 enodes) 73.705 * * [simplify]: iters left: 2 (462 enodes) 73.847 * * [simplify]: Extracting #0: cost 1 inf + 0 73.847 * * [simplify]: Extracting #1: cost 4 inf + 0 73.847 * * [simplify]: Extracting #2: cost 8 inf + 0 73.847 * * [simplify]: Extracting #3: cost 18 inf + 0 73.847 * * [simplify]: Extracting #4: cost 29 inf + 2 73.848 * * [simplify]: Extracting #5: cost 37 inf + 126 73.848 * * [simplify]: Extracting #6: cost 51 inf + 659 73.850 * * [simplify]: Extracting #7: cost 56 inf + 2408 73.856 * * [simplify]: Extracting #8: cost 20 inf + 10064 73.866 * * [simplify]: Extracting #9: cost 5 inf + 13548 73.878 * * [simplify]: Extracting #10: cost 0 inf + 15544 73.888 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* 4 (sqrt (+ 1 (* (+ v (* (* 3 v) (* v v))) (* 3 v))))))) (sqrt (* (sqrt (+ 1 (* (+ v (* (* 3 v) (* v v))) (* 3 v)))) (+ 1 (* v v))))) 73.888 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))))) (* (sqrt (* (+ 1 (* v v)) (* 4 (sqrt (+ 1 (* (+ v (* (* 3 v) (* v v))) (* 3 v))))))) (sqrt (* (sqrt (+ 1 (* (+ v (* (* 3 v) (* v v))) (* 3 v)))) (+ 1 (* v v))))))) 73.888 * * * * [progress]: [ 128 / 458 ] simplifiying candidate # 73.889 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 73.889 * * [simplify]: iters left: 6 (28 enodes) 73.906 * * [simplify]: iters left: 5 (131 enodes) 73.944 * * [simplify]: iters left: 4 (315 enodes) 74.070 * * [simplify]: Extracting #0: cost 1 inf + 0 74.070 * * [simplify]: Extracting #1: cost 4 inf + 0 74.070 * * [simplify]: Extracting #2: cost 8 inf + 0 74.071 * * [simplify]: Extracting #3: cost 34 inf + 0 74.071 * * [simplify]: Extracting #4: cost 108 inf + 1 74.072 * * [simplify]: Extracting #5: cost 167 inf + 454 74.079 * * [simplify]: Extracting #6: cost 241 inf + 956 74.084 * * [simplify]: Extracting #7: cost 212 inf + 14068 74.104 * * [simplify]: Extracting #8: cost 24 inf + 64131 74.133 * * [simplify]: Extracting #9: cost 2 inf + 67864 74.157 * * [simplify]: Extracting #10: cost 0 inf + 69046 74.172 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) 74.172 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 74.172 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 74.172 * * [simplify]: iters left: 6 (25 enodes) 74.182 * * [simplify]: iters left: 5 (119 enodes) 74.229 * * [simplify]: iters left: 4 (277 enodes) 74.358 * * [simplify]: Extracting #0: cost 1 inf + 0 74.358 * * [simplify]: Extracting #1: cost 4 inf + 0 74.358 * * [simplify]: Extracting #2: cost 8 inf + 0 74.358 * * [simplify]: Extracting #3: cost 34 inf + 0 74.359 * * [simplify]: Extracting #4: cost 76 inf + 2 74.360 * * [simplify]: Extracting #5: cost 98 inf + 3 74.361 * * [simplify]: Extracting #6: cost 110 inf + 654 74.365 * * [simplify]: Extracting #7: cost 70 inf + 8207 74.376 * * [simplify]: Extracting #8: cost 11 inf + 21266 74.387 * * [simplify]: Extracting #9: cost 0 inf + 25385 74.395 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))) 74.395 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))))) 74.395 * * * * [progress]: [ 129 / 458 ] simplifiying candidate # 74.396 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 74.396 * * [simplify]: iters left: 6 (26 enodes) 74.405 * * [simplify]: iters left: 5 (118 enodes) 74.442 * * [simplify]: iters left: 4 (285 enodes) 74.578 * * [simplify]: Extracting #0: cost 1 inf + 0 74.578 * * [simplify]: Extracting #1: cost 4 inf + 0 74.578 * * [simplify]: Extracting #2: cost 8 inf + 0 74.578 * * [simplify]: Extracting #3: cost 32 inf + 0 74.579 * * [simplify]: Extracting #4: cost 96 inf + 1 74.579 * * [simplify]: Extracting #5: cost 124 inf + 578 74.580 * * [simplify]: Extracting #6: cost 186 inf + 1716 74.583 * * [simplify]: Extracting #7: cost 161 inf + 17619 74.593 * * [simplify]: Extracting #8: cost 8 inf + 58781 74.616 * * [simplify]: Extracting #9: cost 1 inf + 55173 74.633 * * [simplify]: Extracting #10: cost 0 inf + 55466 74.646 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 74.646 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 74.647 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 74.647 * * [simplify]: iters left: 6 (21 enodes) 74.660 * * [simplify]: iters left: 5 (102 enodes) 74.703 * * [simplify]: iters left: 4 (223 enodes) 74.771 * * [simplify]: iters left: 3 (364 enodes) 74.895 * * [simplify]: Extracting #0: cost 1 inf + 0 74.895 * * [simplify]: Extracting #1: cost 4 inf + 0 74.895 * * [simplify]: Extracting #2: cost 8 inf + 0 74.895 * * [simplify]: Extracting #3: cost 22 inf + 0 74.896 * * [simplify]: Extracting #4: cost 38 inf + 2 74.896 * * [simplify]: Extracting #5: cost 49 inf + 168 74.897 * * [simplify]: Extracting #6: cost 68 inf + 1111 74.899 * * [simplify]: Extracting #7: cost 68 inf + 3058 74.905 * * [simplify]: Extracting #8: cost 20 inf + 13545 74.915 * * [simplify]: Extracting #9: cost 1 inf + 17008 74.925 * * [simplify]: Extracting #10: cost 0 inf + 17372 74.935 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (+ (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ 4 (* (* 4 v) v))))) 74.935 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* 27 (* (* v v) (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (+ (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ 4 (* (* 4 v) v))))))) 74.936 * * * * [progress]: [ 130 / 458 ] simplifiying candidate # 74.936 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 74.936 * * [simplify]: iters left: 6 (24 enodes) 74.944 * * [simplify]: iters left: 5 (110 enodes) 74.978 * * [simplify]: iters left: 4 (273 enodes) 75.085 * * [simplify]: Extracting #0: cost 1 inf + 0 75.085 * * [simplify]: Extracting #1: cost 4 inf + 0 75.085 * * [simplify]: Extracting #2: cost 8 inf + 0 75.085 * * [simplify]: Extracting #3: cost 34 inf + 0 75.086 * * [simplify]: Extracting #4: cost 106 inf + 1 75.086 * * [simplify]: Extracting #5: cost 153 inf + 495 75.087 * * [simplify]: Extracting #6: cost 205 inf + 957 75.089 * * [simplify]: Extracting #7: cost 187 inf + 13097 75.101 * * [simplify]: Extracting #8: cost 24 inf + 59182 75.116 * * [simplify]: Extracting #9: cost 1 inf + 64845 75.131 * * [simplify]: Extracting #10: cost 0 inf + 65410 75.149 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) 75.149 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 75.150 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 75.150 * * [simplify]: iters left: 6 (21 enodes) 75.162 * * [simplify]: iters left: 5 (102 enodes) 75.200 * * [simplify]: iters left: 4 (235 enodes) 75.268 * * [simplify]: iters left: 3 (413 enodes) 75.423 * * [simplify]: Extracting #0: cost 1 inf + 0 75.423 * * [simplify]: Extracting #1: cost 4 inf + 0 75.423 * * [simplify]: Extracting #2: cost 8 inf + 0 75.423 * * [simplify]: Extracting #3: cost 18 inf + 0 75.423 * * [simplify]: Extracting #4: cost 40 inf + 1 75.424 * * [simplify]: Extracting #5: cost 58 inf + 124 75.425 * * [simplify]: Extracting #6: cost 63 inf + 1585 75.430 * * [simplify]: Extracting #7: cost 49 inf + 4313 75.434 * * [simplify]: Extracting #8: cost 32 inf + 6679 75.443 * * [simplify]: Extracting #9: cost 8 inf + 14269 75.449 * * [simplify]: Extracting #10: cost 0 inf + 17733 75.455 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 75.455 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) 75.456 * * * * [progress]: [ 131 / 458 ] simplifiying candidate # 75.456 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 75.456 * * [simplify]: iters left: 6 (20 enodes) 75.463 * * [simplify]: iters left: 5 (85 enodes) 75.486 * * [simplify]: iters left: 4 (210 enodes) 75.582 * * [simplify]: Extracting #0: cost 1 inf + 0 75.582 * * [simplify]: Extracting #1: cost 21 inf + 0 75.583 * * [simplify]: Extracting #2: cost 70 inf + 1 75.583 * * [simplify]: Extracting #3: cost 87 inf + 924 75.584 * * [simplify]: Extracting #4: cost 127 inf + 4157 75.585 * * [simplify]: Extracting #5: cost 145 inf + 6978 75.591 * * [simplify]: Extracting #6: cost 67 inf + 22917 75.608 * * [simplify]: Extracting #7: cost 6 inf + 40088 75.621 * * [simplify]: Extracting #8: cost 0 inf + 42196 75.631 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) 75.631 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 75.632 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 75.632 * * [simplify]: iters left: 6 (15 enodes) 75.637 * * [simplify]: iters left: 5 (70 enodes) 75.663 * * [simplify]: iters left: 4 (165 enodes) 75.723 * * [simplify]: iters left: 3 (268 enodes) 75.823 * * [simplify]: iters left: 2 (344 enodes) 75.898 * * [simplify]: iters left: 1 (394 enodes) 76.015 * * [simplify]: Extracting #0: cost 1 inf + 0 76.015 * * [simplify]: Extracting #1: cost 7 inf + 0 76.015 * * [simplify]: Extracting #2: cost 14 inf + 1 76.015 * * [simplify]: Extracting #3: cost 21 inf + 2 76.015 * * [simplify]: Extracting #4: cost 45 inf + 166 76.017 * * [simplify]: Extracting #5: cost 68 inf + 1832 76.020 * * [simplify]: Extracting #6: cost 45 inf + 4721 76.025 * * [simplify]: Extracting #7: cost 13 inf + 11856 76.034 * * [simplify]: Extracting #8: cost 0 inf + 15934 76.041 * * [simplify]: Extracting #9: cost 0 inf + 15614 76.048 * [simplify]: Simplified to (+ (* (* v v) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) 76.048 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) (+ (* (* v v) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))))) 76.048 * * * * [progress]: [ 132 / 458 ] simplifiying candidate # 76.049 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 76.049 * * [simplify]: iters left: 6 (28 enodes) 76.067 * * [simplify]: iters left: 5 (133 enodes) 76.101 * * [simplify]: iters left: 4 (329 enodes) 76.263 * * [simplify]: Extracting #0: cost 1 inf + 0 76.263 * * [simplify]: Extracting #1: cost 4 inf + 0 76.263 * * [simplify]: Extracting #2: cost 8 inf + 0 76.263 * * [simplify]: Extracting #3: cost 41 inf + 0 76.264 * * [simplify]: Extracting #4: cost 125 inf + 1 76.265 * * [simplify]: Extracting #5: cost 186 inf + 208 76.267 * * [simplify]: Extracting #6: cost 245 inf + 2293 76.276 * * [simplify]: Extracting #7: cost 184 inf + 21078 76.297 * * [simplify]: Extracting #8: cost 71 inf + 47731 76.316 * * [simplify]: Extracting #9: cost 4 inf + 73227 76.332 * * [simplify]: Extracting #10: cost 1 inf + 74842 76.352 * * [simplify]: Extracting #11: cost 0 inf + 75728 76.382 * [simplify]: Simplified to (* (sqrt (/ (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 9 (* v v)) (* v v))))) 4)) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) 76.382 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 9 (* v v)) (* v v))))) 4)) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 76.383 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 76.384 * * [simplify]: iters left: 6 (23 enodes) 76.398 * * [simplify]: iters left: 5 (110 enodes) 76.445 * * [simplify]: iters left: 4 (233 enodes) 76.533 * * [simplify]: iters left: 3 (421 enodes) 76.719 * * [simplify]: Extracting #0: cost 1 inf + 0 76.719 * * [simplify]: Extracting #1: cost 4 inf + 0 76.719 * * [simplify]: Extracting #2: cost 8 inf + 0 76.720 * * [simplify]: Extracting #3: cost 21 inf + 0 76.720 * * [simplify]: Extracting #4: cost 46 inf + 1 76.720 * * [simplify]: Extracting #5: cost 62 inf + 124 76.721 * * [simplify]: Extracting #6: cost 77 inf + 1263 76.724 * * [simplify]: Extracting #7: cost 60 inf + 5406 76.733 * * [simplify]: Extracting #8: cost 5 inf + 17402 76.745 * * [simplify]: Extracting #9: cost 0 inf + 19137 76.756 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* v v) (+ (* (* v v) (* v v)) 1))))) 76.756 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 9 (* v v)) (* v v))))) 4)) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* v v) (+ (* (* v v) (* v v)) 1))))))) 76.756 * * * * [progress]: [ 133 / 458 ] simplifiying candidate # 76.757 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 76.757 * * [simplify]: iters left: 6 (26 enodes) 76.774 * * [simplify]: iters left: 5 (120 enodes) 76.811 * * [simplify]: iters left: 4 (297 enodes) 76.943 * * [simplify]: Extracting #0: cost 1 inf + 0 76.943 * * [simplify]: Extracting #1: cost 4 inf + 0 76.943 * * [simplify]: Extracting #2: cost 8 inf + 0 76.943 * * [simplify]: Extracting #3: cost 37 inf + 0 76.943 * * [simplify]: Extracting #4: cost 108 inf + 1 76.944 * * [simplify]: Extracting #5: cost 137 inf + 496 76.945 * * [simplify]: Extracting #6: cost 193 inf + 2770 76.949 * * [simplify]: Extracting #7: cost 170 inf + 20861 76.961 * * [simplify]: Extracting #8: cost 16 inf + 61478 76.983 * * [simplify]: Extracting #9: cost 1 inf + 61067 76.997 * * [simplify]: Extracting #10: cost 0 inf + 60980 77.015 * * [simplify]: Extracting #11: cost 0 inf + 60940 77.043 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) 77.043 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 77.044 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 77.044 * * [simplify]: iters left: 6 (19 enodes) 77.056 * * [simplify]: iters left: 5 (93 enodes) 77.083 * * [simplify]: iters left: 4 (186 enodes) 77.140 * * [simplify]: iters left: 3 (300 enodes) 77.243 * * [simplify]: iters left: 2 (414 enodes) 77.443 * * [simplify]: Extracting #0: cost 1 inf + 0 77.443 * * [simplify]: Extracting #1: cost 4 inf + 0 77.443 * * [simplify]: Extracting #2: cost 8 inf + 0 77.443 * * [simplify]: Extracting #3: cost 16 inf + 0 77.443 * * [simplify]: Extracting #4: cost 26 inf + 1 77.443 * * [simplify]: Extracting #5: cost 33 inf + 43 77.443 * * [simplify]: Extracting #6: cost 49 inf + 166 77.444 * * [simplify]: Extracting #7: cost 58 inf + 1594 77.446 * * [simplify]: Extracting #8: cost 19 inf + 8577 77.450 * * [simplify]: Extracting #9: cost 3 inf + 12731 77.453 * * [simplify]: Extracting #10: cost 0 inf + 13196 77.456 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ 1 (* v v))))) 77.456 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ 1 (* v v))))))) 77.457 * * * * [progress]: [ 134 / 458 ] simplifiying candidate # 77.457 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 77.457 * * [simplify]: iters left: 6 (27 enodes) 77.466 * * [simplify]: iters left: 5 (122 enodes) 77.516 * * [simplify]: iters left: 4 (295 enodes) 77.626 * * [simplify]: Extracting #0: cost 1 inf + 0 77.626 * * [simplify]: Extracting #1: cost 4 inf + 0 77.626 * * [simplify]: Extracting #2: cost 8 inf + 0 77.626 * * [simplify]: Extracting #3: cost 34 inf + 0 77.626 * * [simplify]: Extracting #4: cost 105 inf + 1 77.627 * * [simplify]: Extracting #5: cost 166 inf + 249 77.628 * * [simplify]: Extracting #6: cost 223 inf + 1250 77.631 * * [simplify]: Extracting #7: cost 174 inf + 17732 77.643 * * [simplify]: Extracting #8: cost 32 inf + 53559 77.656 * * [simplify]: Extracting #9: cost 3 inf + 63813 77.670 * * [simplify]: Extracting #10: cost 0 inf + 65947 77.694 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))))) 4))) 77.695 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))))) 4))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 77.695 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 77.696 * * [simplify]: iters left: 6 (22 enodes) 77.711 * * [simplify]: iters left: 5 (105 enodes) 77.736 * * [simplify]: iters left: 4 (239 enodes) 77.812 * * [simplify]: iters left: 3 (421 enodes) 77.923 * * [simplify]: Extracting #0: cost 1 inf + 0 77.923 * * [simplify]: Extracting #1: cost 4 inf + 0 77.923 * * [simplify]: Extracting #2: cost 8 inf + 0 77.923 * * [simplify]: Extracting #3: cost 21 inf + 0 77.924 * * [simplify]: Extracting #4: cost 46 inf + 2 77.924 * * [simplify]: Extracting #5: cost 61 inf + 257 77.924 * * [simplify]: Extracting #6: cost 57 inf + 3246 77.927 * * [simplify]: Extracting #7: cost 31 inf + 7804 77.930 * * [simplify]: Extracting #8: cost 3 inf + 13485 77.934 * * [simplify]: Extracting #9: cost 0 inf + 14295 77.939 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) 1))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ 4 (* 4 (* v v)))))) 77.939 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (/ (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))))) 4))) (* (sqrt (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) 1))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ 4 (* 4 (* v v)))))))) 77.939 * * * * [progress]: [ 135 / 458 ] simplifiying candidate # 77.939 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 77.939 * * [simplify]: iters left: 6 (25 enodes) 77.950 * * [simplify]: iters left: 5 (109 enodes) 77.981 * * [simplify]: iters left: 4 (264 enodes) 78.087 * * [simplify]: Extracting #0: cost 1 inf + 0 78.087 * * [simplify]: Extracting #1: cost 4 inf + 0 78.087 * * [simplify]: Extracting #2: cost 8 inf + 0 78.087 * * [simplify]: Extracting #3: cost 30 inf + 0 78.088 * * [simplify]: Extracting #4: cost 91 inf + 1 78.088 * * [simplify]: Extracting #5: cost 122 inf + 632 78.090 * * [simplify]: Extracting #6: cost 159 inf + 3574 78.100 * * [simplify]: Extracting #7: cost 130 inf + 19483 78.122 * * [simplify]: Extracting #8: cost 14 inf + 48304 78.146 * * [simplify]: Extracting #9: cost 1 inf + 52407 78.159 * * [simplify]: Extracting #10: cost 0 inf + 52700 78.171 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 78.171 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))))) 78.172 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) 78.172 * * [simplify]: iters left: 6 (18 enodes) 78.181 * * [simplify]: iters left: 5 (89 enodes) 78.211 * * [simplify]: iters left: 4 (193 enodes) 78.275 * * [simplify]: iters left: 3 (301 enodes) 78.405 * * [simplify]: iters left: 2 (387 enodes) 78.514 * * [simplify]: iters left: 1 (441 enodes) 78.653 * * [simplify]: Extracting #0: cost 1 inf + 0 78.653 * * [simplify]: Extracting #1: cost 4 inf + 0 78.653 * * [simplify]: Extracting #2: cost 8 inf + 0 78.653 * * [simplify]: Extracting #3: cost 18 inf + 0 78.653 * * [simplify]: Extracting #4: cost 25 inf + 2 78.653 * * [simplify]: Extracting #5: cost 31 inf + 126 78.654 * * [simplify]: Extracting #6: cost 48 inf + 1027 78.655 * * [simplify]: Extracting #7: cost 64 inf + 3511 78.658 * * [simplify]: Extracting #8: cost 33 inf + 10076 78.663 * * [simplify]: Extracting #9: cost 2 inf + 18220 78.667 * * [simplify]: Extracting #10: cost 0 inf + 18366 78.670 * * [simplify]: Extracting #11: cost 0 inf + 18122 78.677 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v))))) (+ 1 (* v v)))) (sqrt (+ 4 (* v (* 4 v))))) 78.677 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v))))) (+ 1 (* v v)))) (sqrt (+ 4 (* v (* 4 v))))))) 78.678 * * * * [progress]: [ 136 / 458 ] simplifiying candidate # 78.678 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 78.678 * * [simplify]: iters left: 6 (27 enodes) 78.698 * * [simplify]: iters left: 5 (124 enodes) 78.750 * * [simplify]: iters left: 4 (309 enodes) 78.880 * * [simplify]: Extracting #0: cost 1 inf + 0 78.881 * * [simplify]: Extracting #1: cost 4 inf + 0 78.881 * * [simplify]: Extracting #2: cost 8 inf + 0 78.881 * * [simplify]: Extracting #3: cost 41 inf + 0 78.881 * * [simplify]: Extracting #4: cost 128 inf + 1 78.883 * * [simplify]: Extracting #5: cost 187 inf + 413 78.886 * * [simplify]: Extracting #6: cost 219 inf + 9313 78.903 * * [simplify]: Extracting #7: cost 104 inf + 50205 78.935 * * [simplify]: Extracting #8: cost 8 inf + 70687 78.967 * * [simplify]: Extracting #9: cost 0 inf + 74145 78.999 * * [simplify]: Extracting #10: cost 0 inf + 74026 79.032 * [simplify]: Simplified to (* (sqrt (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (/ 4 (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 79.032 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (/ 4 (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 79.033 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 79.033 * * [simplify]: iters left: 6 (20 enodes) 79.046 * * [simplify]: iters left: 5 (92 enodes) 79.084 * * [simplify]: iters left: 4 (204 enodes) 79.154 * * [simplify]: iters left: 3 (333 enodes) 79.252 * * [simplify]: iters left: 2 (415 enodes) 79.361 * * [simplify]: iters left: 1 (475 enodes) 79.489 * * [simplify]: Extracting #0: cost 1 inf + 0 79.489 * * [simplify]: Extracting #1: cost 4 inf + 0 79.489 * * [simplify]: Extracting #2: cost 8 inf + 0 79.489 * * [simplify]: Extracting #3: cost 18 inf + 0 79.489 * * [simplify]: Extracting #4: cost 37 inf + 1 79.490 * * [simplify]: Extracting #5: cost 55 inf + 287 79.490 * * [simplify]: Extracting #6: cost 67 inf + 982 79.492 * * [simplify]: Extracting #7: cost 44 inf + 8435 79.495 * * [simplify]: Extracting #8: cost 5 inf + 16906 79.499 * * [simplify]: Extracting #9: cost 1 inf + 18218 79.503 * * [simplify]: Extracting #10: cost 0 inf + 18781 79.507 * [simplify]: Simplified to (* (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1)) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1)))) 79.507 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* (* v v) (* v v)) (* v v))) (/ 4 (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1)) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ (* v v) 1)))))) 79.508 * * * * [progress]: [ 137 / 458 ] simplifiying candidate # 79.508 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 79.508 * * [simplify]: iters left: 6 (25 enodes) 79.517 * * [simplify]: iters left: 5 (111 enodes) 79.559 * * [simplify]: iters left: 4 (276 enodes) 79.674 * * [simplify]: Extracting #0: cost 1 inf + 0 79.674 * * [simplify]: Extracting #1: cost 4 inf + 0 79.674 * * [simplify]: Extracting #2: cost 8 inf + 0 79.674 * * [simplify]: Extracting #3: cost 35 inf + 0 79.675 * * [simplify]: Extracting #4: cost 109 inf + 1 79.676 * * [simplify]: Extracting #5: cost 139 inf + 454 79.678 * * [simplify]: Extracting #6: cost 176 inf + 3053 79.687 * * [simplify]: Extracting #7: cost 147 inf + 18336 79.706 * * [simplify]: Extracting #8: cost 22 inf + 51002 79.720 * * [simplify]: Extracting #9: cost 1 inf + 57992 79.734 * * [simplify]: Extracting #10: cost 0 inf + 58576 79.760 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) 79.760 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 79.761 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 79.761 * * [simplify]: iters left: 6 (16 enodes) 79.771 * * [simplify]: iters left: 5 (76 enodes) 79.796 * * [simplify]: iters left: 4 (170 enodes) 79.843 * * [simplify]: iters left: 3 (271 enodes) 79.941 * * [simplify]: iters left: 2 (353 enodes) 80.078 * * [simplify]: iters left: 1 (405 enodes) 80.182 * * [simplify]: Extracting #0: cost 1 inf + 0 80.182 * * [simplify]: Extracting #1: cost 4 inf + 0 80.182 * * [simplify]: Extracting #2: cost 8 inf + 0 80.182 * * [simplify]: Extracting #3: cost 14 inf + 0 80.183 * * [simplify]: Extracting #4: cost 19 inf + 1 80.183 * * [simplify]: Extracting #5: cost 25 inf + 2 80.183 * * [simplify]: Extracting #6: cost 52 inf + 43 80.183 * * [simplify]: Extracting #7: cost 76 inf + 984 80.185 * * [simplify]: Extracting #8: cost 57 inf + 3348 80.187 * * [simplify]: Extracting #9: cost 19 inf + 12218 80.191 * * [simplify]: Extracting #10: cost 1 inf + 17407 80.194 * * [simplify]: Extracting #11: cost 0 inf + 17700 80.198 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))) 80.198 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))))) 80.198 * * * * [progress]: [ 138 / 458 ] simplifiying candidate # 80.199 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 80.199 * * [simplify]: iters left: 6 (24 enodes) 80.207 * * [simplify]: iters left: 5 (105 enodes) 80.248 * * [simplify]: iters left: 4 (249 enodes) 80.341 * * [simplify]: Extracting #0: cost 1 inf + 0 80.341 * * [simplify]: Extracting #1: cost 4 inf + 0 80.341 * * [simplify]: Extracting #2: cost 8 inf + 0 80.341 * * [simplify]: Extracting #3: cost 32 inf + 0 80.342 * * [simplify]: Extracting #4: cost 92 inf + 1 80.343 * * [simplify]: Extracting #5: cost 108 inf + 414 80.345 * * [simplify]: Extracting #6: cost 137 inf + 3583 80.348 * * [simplify]: Extracting #7: cost 161 inf + 6973 80.360 * * [simplify]: Extracting #8: cost 68 inf + 26374 80.385 * * [simplify]: Extracting #9: cost 5 inf + 47875 80.408 * * [simplify]: Extracting #10: cost 0 inf + 50062 80.423 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))))) 80.423 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 80.424 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 80.424 * * [simplify]: iters left: 6 (18 enodes) 80.430 * * [simplify]: iters left: 5 (83 enodes) 80.452 * * [simplify]: iters left: 4 (177 enodes) 80.538 * * [simplify]: iters left: 3 (283 enodes) 80.672 * * [simplify]: iters left: 2 (362 enodes) 80.780 * * [simplify]: iters left: 1 (410 enodes) 80.901 * * [simplify]: Extracting #0: cost 1 inf + 0 80.901 * * [simplify]: Extracting #1: cost 4 inf + 0 80.902 * * [simplify]: Extracting #2: cost 8 inf + 0 80.902 * * [simplify]: Extracting #3: cost 15 inf + 0 80.902 * * [simplify]: Extracting #4: cost 20 inf + 2 80.902 * * [simplify]: Extracting #5: cost 27 inf + 3 80.902 * * [simplify]: Extracting #6: cost 53 inf + 44 80.903 * * [simplify]: Extracting #7: cost 74 inf + 1673 80.905 * * [simplify]: Extracting #8: cost 38 inf + 9439 80.909 * * [simplify]: Extracting #9: cost 7 inf + 16335 80.913 * * [simplify]: Extracting #10: cost 0 inf + 18098 80.919 * * [simplify]: Extracting #11: cost 0 inf + 17818 80.926 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) (+ 3 (* 9 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* (* v v) (+ 3 (* 9 (* v v))))))))) 80.926 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27)))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) (+ 3 (* 9 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* (* v v) (+ 3 (* 9 (* v v))))))))))) 80.926 * * * * [progress]: [ 139 / 458 ] simplifiying candidate # 80.927 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 80.927 * * [simplify]: iters left: 6 (27 enodes) 80.945 * * [simplify]: iters left: 5 (123 enodes) 80.970 * * [simplify]: iters left: 4 (294 enodes) 81.085 * * [simplify]: Extracting #0: cost 1 inf + 0 81.085 * * [simplify]: Extracting #1: cost 4 inf + 0 81.085 * * [simplify]: Extracting #2: cost 8 inf + 0 81.086 * * [simplify]: Extracting #3: cost 34 inf + 0 81.086 * * [simplify]: Extracting #4: cost 95 inf + 1 81.087 * * [simplify]: Extracting #5: cost 121 inf + 455 81.089 * * [simplify]: Extracting #6: cost 173 inf + 3214 81.096 * * [simplify]: Extracting #7: cost 153 inf + 16457 81.115 * * [simplify]: Extracting #8: cost 35 inf + 41664 81.138 * * [simplify]: Extracting #9: cost 4 inf + 50542 81.166 * * [simplify]: Extracting #10: cost 0 inf + 53142 81.179 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 81.179 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 81.180 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 81.180 * * [simplify]: iters left: 6 (20 enodes) 81.187 * * [simplify]: iters left: 5 (90 enodes) 81.209 * * [simplify]: iters left: 4 (173 enodes) 81.283 * * [simplify]: iters left: 3 (276 enodes) 81.422 * * [simplify]: iters left: 2 (392 enodes) 81.600 * * [simplify]: Extracting #0: cost 1 inf + 0 81.600 * * [simplify]: Extracting #1: cost 4 inf + 0 81.600 * * [simplify]: Extracting #2: cost 8 inf + 0 81.600 * * [simplify]: Extracting #3: cost 16 inf + 0 81.601 * * [simplify]: Extracting #4: cost 23 inf + 2 81.601 * * [simplify]: Extracting #5: cost 29 inf + 44 81.601 * * [simplify]: Extracting #6: cost 47 inf + 167 81.602 * * [simplify]: Extracting #7: cost 55 inf + 1393 81.606 * * [simplify]: Extracting #8: cost 19 inf + 7372 81.609 * * [simplify]: Extracting #9: cost 3 inf + 11097 81.612 * * [simplify]: Extracting #10: cost 0 inf + 12318 81.615 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))))) 81.616 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))))))) 81.616 * * * * [progress]: [ 140 / 458 ] simplifiying candidate # 81.616 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 81.616 * * [simplify]: iters left: 6 (23 enodes) 81.624 * * [simplify]: iters left: 5 (102 enodes) 81.648 * * [simplify]: iters left: 4 (252 enodes) 81.737 * * [simplify]: Extracting #0: cost 1 inf + 0 81.737 * * [simplify]: Extracting #1: cost 4 inf + 0 81.737 * * [simplify]: Extracting #2: cost 8 inf + 0 81.737 * * [simplify]: Extracting #3: cost 34 inf + 0 81.738 * * [simplify]: Extracting #4: cost 95 inf + 1 81.739 * * [simplify]: Extracting #5: cost 111 inf + 454 81.740 * * [simplify]: Extracting #6: cost 142 inf + 3582 81.745 * * [simplify]: Extracting #7: cost 160 inf + 8274 81.756 * * [simplify]: Extracting #8: cost 76 inf + 28423 81.783 * * [simplify]: Extracting #9: cost 1 inf + 52911 81.804 * * [simplify]: Extracting #10: cost 0 inf + 53204 81.817 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3))))))))) 81.817 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3))))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 81.817 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 81.818 * * [simplify]: iters left: 6 (16 enodes) 81.823 * * [simplify]: iters left: 5 (76 enodes) 81.844 * * [simplify]: iters left: 4 (170 enodes) 81.924 * * [simplify]: iters left: 3 (271 enodes) 82.381 * * [simplify]: iters left: 2 (353 enodes) 82.484 * * [simplify]: iters left: 1 (405 enodes) 82.622 * * [simplify]: Extracting #0: cost 1 inf + 0 82.622 * * [simplify]: Extracting #1: cost 4 inf + 0 82.622 * * [simplify]: Extracting #2: cost 8 inf + 0 82.622 * * [simplify]: Extracting #3: cost 14 inf + 0 82.622 * * [simplify]: Extracting #4: cost 24 inf + 1 82.623 * * [simplify]: Extracting #5: cost 52 inf + 43 82.623 * * [simplify]: Extracting #6: cost 78 inf + 740 82.626 * * [simplify]: Extracting #7: cost 59 inf + 3104 82.632 * * [simplify]: Extracting #8: cost 19 inf + 12540 82.639 * * [simplify]: Extracting #9: cost 1 inf + 17729 82.648 * * [simplify]: Extracting #10: cost 0 inf + 18022 82.655 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))) 82.655 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3)))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* v 3)) (* (* v (* v 3)) (* v (* v 3))))))))) (* (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v))))))) 82.656 * * * * [progress]: [ 141 / 458 ] simplifiying candidate # 82.656 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 82.657 * * [simplify]: iters left: 6 (27 enodes) 82.678 * * [simplify]: iters left: 5 (125 enodes) 82.710 * * [simplify]: iters left: 4 (308 enodes) 82.864 * * [simplify]: Extracting #0: cost 1 inf + 0 82.864 * * [simplify]: Extracting #1: cost 4 inf + 0 82.864 * * [simplify]: Extracting #2: cost 8 inf + 0 82.864 * * [simplify]: Extracting #3: cost 41 inf + 0 82.865 * * [simplify]: Extracting #4: cost 115 inf + 1 82.866 * * [simplify]: Extracting #5: cost 140 inf + 454 82.868 * * [simplify]: Extracting #6: cost 194 inf + 3333 82.875 * * [simplify]: Extracting #7: cost 162 inf + 17714 82.894 * * [simplify]: Extracting #8: cost 46 inf + 43833 82.926 * * [simplify]: Extracting #9: cost 4 inf + 57193 82.954 * * [simplify]: Extracting #10: cost 0 inf + 59463 82.982 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) 82.982 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 82.983 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 82.983 * * [simplify]: iters left: 6 (18 enodes) 82.992 * * [simplify]: iters left: 5 (83 enodes) 83.010 * * [simplify]: iters left: 4 (166 enodes) 83.047 * * [simplify]: iters left: 3 (264 enodes) 83.134 * * [simplify]: iters left: 2 (376 enodes) 83.297 * * [simplify]: Extracting #0: cost 1 inf + 0 83.297 * * [simplify]: Extracting #1: cost 4 inf + 0 83.297 * * [simplify]: Extracting #2: cost 8 inf + 0 83.297 * * [simplify]: Extracting #3: cost 15 inf + 0 83.297 * * [simplify]: Extracting #4: cost 23 inf + 1 83.297 * * [simplify]: Extracting #5: cost 30 inf + 43 83.298 * * [simplify]: Extracting #6: cost 42 inf + 373 83.300 * * [simplify]: Extracting #7: cost 41 inf + 3182 83.305 * * [simplify]: Extracting #8: cost 12 inf + 8933 83.311 * * [simplify]: Extracting #9: cost 3 inf + 11067 83.318 * * [simplify]: Extracting #10: cost 0 inf + 11824 83.324 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 83.324 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 83.325 * * * * [progress]: [ 142 / 458 ] simplifiying candidate # 83.325 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 83.326 * * [simplify]: iters left: 6 (26 enodes) 83.343 * * [simplify]: iters left: 5 (114 enodes) 83.387 * * [simplify]: iters left: 4 (273 enodes) 83.498 * * [simplify]: Extracting #0: cost 1 inf + 0 83.498 * * [simplify]: Extracting #1: cost 4 inf + 0 83.498 * * [simplify]: Extracting #2: cost 8 inf + 0 83.498 * * [simplify]: Extracting #3: cost 32 inf + 0 83.499 * * [simplify]: Extracting #4: cost 96 inf + 1 83.499 * * [simplify]: Extracting #5: cost 123 inf + 332 83.501 * * [simplify]: Extracting #6: cost 161 inf + 2892 83.513 * * [simplify]: Extracting #7: cost 144 inf + 19159 83.531 * * [simplify]: Extracting #8: cost 17 inf + 50858 83.553 * * [simplify]: Extracting #9: cost 0 inf + 51876 83.576 * * [simplify]: Extracting #10: cost 0 inf + 51536 83.598 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) 83.598 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt 4)))) 83.599 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt 4)) 83.599 * * [simplify]: iters left: 6 (17 enodes) 83.611 * * [simplify]: iters left: 5 (80 enodes) 83.636 * * [simplify]: iters left: 4 (174 enodes) 83.704 * * [simplify]: iters left: 3 (281 enodes) 83.779 * * [simplify]: iters left: 2 (356 enodes) 83.887 * * [simplify]: iters left: 1 (399 enodes) 83.995 * * [simplify]: Extracting #0: cost 1 inf + 0 83.995 * * [simplify]: Extracting #1: cost 4 inf + 0 83.995 * * [simplify]: Extracting #2: cost 5 inf + 1 83.995 * * [simplify]: Extracting #3: cost 10 inf + 1 83.996 * * [simplify]: Extracting #4: cost 16 inf + 2 83.996 * * [simplify]: Extracting #5: cost 23 inf + 3 83.996 * * [simplify]: Extracting #6: cost 48 inf + 85 83.997 * * [simplify]: Extracting #7: cost 69 inf + 1760 84.002 * * [simplify]: Extracting #8: cost 35 inf + 8140 84.011 * * [simplify]: Extracting #9: cost 4 inf + 15486 84.017 * * [simplify]: Extracting #10: cost 0 inf + 16424 84.020 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))))) 2) 84.020 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))))) 2))) 84.021 * * * * [progress]: [ 143 / 458 ] simplifiying candidate # 84.021 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 84.021 * * [simplify]: iters left: 6 (26 enodes) 84.030 * * [simplify]: iters left: 5 (120 enodes) 84.060 * * [simplify]: iters left: 4 (305 enodes) 84.176 * * [simplify]: Extracting #0: cost 1 inf + 0 84.176 * * [simplify]: Extracting #1: cost 4 inf + 0 84.176 * * [simplify]: Extracting #2: cost 8 inf + 0 84.176 * * [simplify]: Extracting #3: cost 32 inf + 0 84.177 * * [simplify]: Extracting #4: cost 114 inf + 1 84.178 * * [simplify]: Extracting #5: cost 188 inf + 372 84.183 * * [simplify]: Extracting #6: cost 255 inf + 1715 84.185 * * [simplify]: Extracting #7: cost 214 inf + 16542 84.193 * * [simplify]: Extracting #8: cost 81 inf + 49095 84.208 * * [simplify]: Extracting #9: cost 3 inf + 82335 84.234 * * [simplify]: Extracting #10: cost 0 inf + 78582 84.250 * * [simplify]: Extracting #11: cost 0 inf + 77960 84.270 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 84.270 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 84.271 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 84.272 * * [simplify]: iters left: 6 (24 enodes) 84.288 * * [simplify]: iters left: 5 (114 enodes) 84.317 * * [simplify]: iters left: 4 (282 enodes) 84.404 * * [simplify]: Extracting #0: cost 1 inf + 0 84.405 * * [simplify]: Extracting #1: cost 4 inf + 0 84.405 * * [simplify]: Extracting #2: cost 8 inf + 0 84.405 * * [simplify]: Extracting #3: cost 43 inf + 0 84.405 * * [simplify]: Extracting #4: cost 96 inf + 2 84.405 * * [simplify]: Extracting #5: cost 119 inf + 44 84.407 * * [simplify]: Extracting #6: cost 110 inf + 3582 84.412 * * [simplify]: Extracting #7: cost 75 inf + 12011 84.423 * * [simplify]: Extracting #8: cost 34 inf + 21202 84.441 * * [simplify]: Extracting #9: cost 4 inf + 32631 84.463 * * [simplify]: Extracting #10: cost 0 inf + 34566 84.478 * [simplify]: Simplified to (* (sqrt (* (+ (* 4 (+ (* (* v v) (* v v)) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (+ 1 (* (+ 1 (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1))))) 84.478 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (+ (* 4 (+ (* (* v v) (* v v)) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (+ 1 (* (+ 1 (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1))))))) 84.479 * * * * [progress]: [ 144 / 458 ] simplifiying candidate # 84.479 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 84.479 * * [simplify]: iters left: 6 (28 enodes) 84.490 * * [simplify]: iters left: 5 (131 enodes) 84.534 * * [simplify]: iters left: 4 (315 enodes) 84.708 * * [simplify]: Extracting #0: cost 1 inf + 0 84.708 * * [simplify]: Extracting #1: cost 4 inf + 0 84.708 * * [simplify]: Extracting #2: cost 8 inf + 0 84.708 * * [simplify]: Extracting #3: cost 34 inf + 0 84.709 * * [simplify]: Extracting #4: cost 108 inf + 1 84.709 * * [simplify]: Extracting #5: cost 168 inf + 331 84.716 * * [simplify]: Extracting #6: cost 240 inf + 704 84.720 * * [simplify]: Extracting #7: cost 212 inf + 11228 84.736 * * [simplify]: Extracting #8: cost 53 inf + 49676 84.753 * * [simplify]: Extracting #9: cost 3 inf + 67520 84.767 * * [simplify]: Extracting #10: cost 0 inf + 69655 84.793 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ 4 (- 1 (* (* v (* v v)) (* v (* v v)))))))) 84.794 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ 4 (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 84.794 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 84.795 * * [simplify]: iters left: 6 (25 enodes) 84.810 * * [simplify]: iters left: 5 (118 enodes) 84.860 * * [simplify]: iters left: 4 (268 enodes) 84.972 * * [simplify]: Extracting #0: cost 1 inf + 0 84.972 * * [simplify]: Extracting #1: cost 4 inf + 0 84.972 * * [simplify]: Extracting #2: cost 8 inf + 0 84.972 * * [simplify]: Extracting #3: cost 33 inf + 0 84.973 * * [simplify]: Extracting #4: cost 63 inf + 2 84.973 * * [simplify]: Extracting #5: cost 84 inf + 44 84.974 * * [simplify]: Extracting #6: cost 85 inf + 1595 84.977 * * [simplify]: Extracting #7: cost 65 inf + 6140 84.982 * * [simplify]: Extracting #8: cost 24 inf + 13769 84.990 * * [simplify]: Extracting #9: cost 15 inf + 15876 84.996 * * [simplify]: Extracting #10: cost 3 inf + 19679 85.002 * * [simplify]: Extracting #11: cost 0 inf + 21451 85.013 * [simplify]: Simplified to (* (sqrt (* (* 4 (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1))) (+ 1 (* v v)))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1))))) 85.013 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ 4 (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (* 4 (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1))) (+ 1 (* v v)))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1))))))) 85.014 * * * * [progress]: [ 145 / 458 ] simplifiying candidate # 85.014 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 85.014 * * [simplify]: iters left: 6 (23 enodes) 85.030 * * [simplify]: iters left: 5 (100 enodes) 85.057 * * [simplify]: iters left: 4 (227 enodes) 85.153 * * [simplify]: Extracting #0: cost 1 inf + 0 85.153 * * [simplify]: Extracting #1: cost 4 inf + 0 85.154 * * [simplify]: Extracting #2: cost 8 inf + 0 85.154 * * [simplify]: Extracting #3: cost 27 inf + 0 85.154 * * [simplify]: Extracting #4: cost 98 inf + 1 85.155 * * [simplify]: Extracting #5: cost 153 inf + 167 85.156 * * [simplify]: Extracting #6: cost 171 inf + 1070 85.159 * * [simplify]: Extracting #7: cost 122 inf + 14010 85.168 * * [simplify]: Extracting #8: cost 4 inf + 49115 85.178 * * [simplify]: Extracting #9: cost 0 inf + 51022 85.193 * [simplify]: Simplified to (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))) 4)) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))))) 85.193 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))) 4)) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 85.194 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 85.194 * * [simplify]: iters left: 6 (19 enodes) 85.207 * * [simplify]: iters left: 5 (82 enodes) 85.229 * * [simplify]: iters left: 4 (184 enodes) 85.318 * * [simplify]: iters left: 3 (495 enodes) 85.568 * * [simplify]: Extracting #0: cost 1 inf + 0 85.568 * * [simplify]: Extracting #1: cost 4 inf + 0 85.568 * * [simplify]: Extracting #2: cost 8 inf + 0 85.568 * * [simplify]: Extracting #3: cost 35 inf + 0 85.569 * * [simplify]: Extracting #4: cost 105 inf + 2 85.570 * * [simplify]: Extracting #5: cost 138 inf + 298 85.573 * * [simplify]: Extracting #6: cost 83 inf + 11734 85.584 * * [simplify]: Extracting #7: cost 16 inf + 24967 85.592 * * [simplify]: Extracting #8: cost 0 inf + 28516 85.604 * [simplify]: Simplified to (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 85.604 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))) 4)) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 9) (* v v)))))))) (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (* 4 (sqrt (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))))) 85.604 * * * * [progress]: [ 146 / 458 ] simplifiying candidate # 85.604 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 85.604 * * [simplify]: iters left: 6 (25 enodes) 85.614 * * [simplify]: iters left: 5 (112 enodes) 85.658 * * [simplify]: iters left: 4 (250 enodes) 85.776 * * [simplify]: Extracting #0: cost 1 inf + 0 85.776 * * [simplify]: Extracting #1: cost 4 inf + 0 85.776 * * [simplify]: Extracting #2: cost 8 inf + 0 85.776 * * [simplify]: Extracting #3: cost 31 inf + 0 85.777 * * [simplify]: Extracting #4: cost 102 inf + 1 85.777 * * [simplify]: Extracting #5: cost 152 inf + 331 85.778 * * [simplify]: Extracting #6: cost 173 inf + 827 85.779 * * [simplify]: Extracting #7: cost 141 inf + 10986 85.787 * * [simplify]: Extracting #8: cost 31 inf + 39120 85.797 * * [simplify]: Extracting #9: cost 2 inf + 48539 85.816 * * [simplify]: Extracting #10: cost 0 inf + 49548 85.827 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 85.827 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 85.827 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 85.827 * * [simplify]: iters left: 6 (20 enodes) 85.833 * * [simplify]: iters left: 5 (87 enodes) 85.862 * * [simplify]: iters left: 4 (177 enodes) 85.916 * * [simplify]: iters left: 3 (345 enodes) 86.006 * * [simplify]: iters left: 2 (434 enodes) 86.101 * * [simplify]: Extracting #0: cost 1 inf + 0 86.101 * * [simplify]: Extracting #1: cost 4 inf + 0 86.101 * * [simplify]: Extracting #2: cost 8 inf + 0 86.101 * * [simplify]: Extracting #3: cost 23 inf + 0 86.101 * * [simplify]: Extracting #4: cost 51 inf + 2 86.102 * * [simplify]: Extracting #5: cost 69 inf + 298 86.103 * * [simplify]: Extracting #6: cost 56 inf + 2416 86.105 * * [simplify]: Extracting #7: cost 36 inf + 5393 86.111 * * [simplify]: Extracting #8: cost 7 inf + 12616 86.119 * * [simplify]: Extracting #9: cost 0 inf + 15079 86.123 * [simplify]: Simplified to (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ (* (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) 86.123 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ (* (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) (* v v)) (sqrt (+ 1 (* 3 (* v v))))))))) 86.124 * * * * [progress]: [ 147 / 458 ] simplifiying candidate # 86.124 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 86.124 * * [simplify]: iters left: 6 (26 enodes) 86.133 * * [simplify]: iters left: 5 (122 enodes) 86.170 * * [simplify]: iters left: 4 (317 enodes) 86.306 * * [simplify]: Extracting #0: cost 1 inf + 0 86.306 * * [simplify]: Extracting #1: cost 4 inf + 0 86.306 * * [simplify]: Extracting #2: cost 8 inf + 0 86.306 * * [simplify]: Extracting #3: cost 37 inf + 0 86.306 * * [simplify]: Extracting #4: cost 129 inf + 1 86.307 * * [simplify]: Extracting #5: cost 203 inf + 290 86.308 * * [simplify]: Extracting #6: cost 271 inf + 1381 86.312 * * [simplify]: Extracting #7: cost 199 inf + 27069 86.327 * * [simplify]: Extracting #8: cost 17 inf + 80757 86.350 * * [simplify]: Extracting #9: cost 0 inf + 84730 86.373 * * [simplify]: Extracting #10: cost 0 inf + 83709 86.394 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 86.394 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 86.395 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 86.395 * * [simplify]: iters left: 6 (22 enodes) 86.410 * * [simplify]: iters left: 5 (105 enodes) 86.436 * * [simplify]: iters left: 4 (237 enodes) 86.509 * * [simplify]: Extracting #0: cost 1 inf + 0 86.509 * * [simplify]: Extracting #1: cost 4 inf + 0 86.509 * * [simplify]: Extracting #2: cost 8 inf + 0 86.509 * * [simplify]: Extracting #3: cost 34 inf + 0 86.509 * * [simplify]: Extracting #4: cost 67 inf + 1 86.510 * * [simplify]: Extracting #5: cost 80 inf + 287 86.511 * * [simplify]: Extracting #6: cost 82 inf + 2395 86.514 * * [simplify]: Extracting #7: cost 75 inf + 4673 86.520 * * [simplify]: Extracting #8: cost 21 inf + 16267 86.526 * * [simplify]: Extracting #9: cost 3 inf + 22326 86.533 * * [simplify]: Extracting #10: cost 1 inf + 22918 86.542 * * [simplify]: Extracting #11: cost 0 inf + 23600 86.551 * * [simplify]: Extracting #12: cost 0 inf + 23599 86.559 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (+ (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1)) (* (* (* v v) (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1))) (+ 1 (* v v)))))) 86.559 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (+ (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1)) (* (* (* v v) (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1))) (+ 1 (* v v)))))))) 86.560 * * * * [progress]: [ 148 / 458 ] simplifiying candidate # 86.560 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 86.560 * * [simplify]: iters left: 6 (28 enodes) 86.570 * * [simplify]: iters left: 5 (133 enodes) 86.613 * * [simplify]: iters left: 4 (329 enodes) 86.762 * * [simplify]: Extracting #0: cost 1 inf + 0 86.762 * * [simplify]: Extracting #1: cost 4 inf + 0 86.762 * * [simplify]: Extracting #2: cost 8 inf + 0 86.762 * * [simplify]: Extracting #3: cost 41 inf + 0 86.762 * * [simplify]: Extracting #4: cost 125 inf + 1 86.766 * * [simplify]: Extracting #5: cost 183 inf + 495 86.767 * * [simplify]: Extracting #6: cost 246 inf + 2675 86.772 * * [simplify]: Extracting #7: cost 186 inf + 24542 86.787 * * [simplify]: Extracting #8: cost 50 inf + 57616 86.812 * * [simplify]: Extracting #9: cost 2 inf + 73512 86.829 * * [simplify]: Extracting #10: cost 0 inf + 75204 86.852 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 86.852 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 86.853 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 86.853 * * [simplify]: iters left: 6 (23 enodes) 86.867 * * [simplify]: iters left: 5 (109 enodes) 86.915 * * [simplify]: iters left: 4 (233 enodes) 86.990 * * [simplify]: iters left: 3 (437 enodes) 87.146 * * [simplify]: Extracting #0: cost 1 inf + 0 87.146 * * [simplify]: Extracting #1: cost 4 inf + 0 87.146 * * [simplify]: Extracting #2: cost 8 inf + 0 87.146 * * [simplify]: Extracting #3: cost 22 inf + 0 87.147 * * [simplify]: Extracting #4: cost 47 inf + 1 87.147 * * [simplify]: Extracting #5: cost 67 inf + 43 87.148 * * [simplify]: Extracting #6: cost 82 inf + 895 87.151 * * [simplify]: Extracting #7: cost 58 inf + 5700 87.159 * * [simplify]: Extracting #8: cost 18 inf + 14446 87.171 * * [simplify]: Extracting #9: cost 4 inf + 19252 87.177 * * [simplify]: Extracting #10: cost 0 inf + 20741 87.184 * * [simplify]: Extracting #11: cost 0 inf + 20537 87.190 * [simplify]: Simplified to (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (+ (* v (* v 3)) 1)) 1)) (+ 1 (* v v))))) 87.190 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (+ (* v (* v 3)) 1)) 1)) (+ 1 (* v v))))))) 87.190 * * * * [progress]: [ 149 / 458 ] simplifiying candidate # 87.190 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 87.191 * * [simplify]: iters left: 6 (20 enodes) 87.204 * * [simplify]: iters left: 5 (86 enodes) 87.228 * * [simplify]: iters left: 4 (210 enodes) 87.299 * * [simplify]: Extracting #0: cost 1 inf + 0 87.299 * * [simplify]: Extracting #1: cost 21 inf + 0 87.299 * * [simplify]: Extracting #2: cost 80 inf + 1 87.300 * * [simplify]: Extracting #3: cost 136 inf + 44 87.300 * * [simplify]: Extracting #4: cost 156 inf + 662 87.304 * * [simplify]: Extracting #5: cost 77 inf + 22121 87.316 * * [simplify]: Extracting #6: cost 7 inf + 40477 87.334 * * [simplify]: Extracting #7: cost 0 inf + 42986 87.352 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) 87.352 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 87.352 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 87.353 * * [simplify]: iters left: 6 (15 enodes) 87.361 * * [simplify]: iters left: 5 (58 enodes) 87.383 * * [simplify]: iters left: 4 (111 enodes) 87.412 * * [simplify]: iters left: 3 (234 enodes) 87.487 * * [simplify]: iters left: 2 (328 enodes) 87.603 * * [simplify]: iters left: 1 (413 enodes) 87.764 * * [simplify]: Extracting #0: cost 1 inf + 0 87.764 * * [simplify]: Extracting #1: cost 11 inf + 0 87.764 * * [simplify]: Extracting #2: cost 37 inf + 1 87.765 * * [simplify]: Extracting #3: cost 66 inf + 327 87.766 * * [simplify]: Extracting #4: cost 54 inf + 2093 87.769 * * [simplify]: Extracting #5: cost 31 inf + 7339 87.775 * * [simplify]: Extracting #6: cost 2 inf + 16216 87.783 * * [simplify]: Extracting #7: cost 0 inf + 16862 87.791 * [simplify]: Simplified to (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) 87.791 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 87.792 * * * * [progress]: [ 150 / 458 ] simplifiying candidate # 87.792 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 87.792 * * [simplify]: iters left: 6 (24 enodes) 87.811 * * [simplify]: iters left: 5 (109 enodes) 87.856 * * [simplify]: iters left: 4 (253 enodes) 87.979 * * [simplify]: Extracting #0: cost 1 inf + 0 87.979 * * [simplify]: Extracting #1: cost 4 inf + 0 87.979 * * [simplify]: Extracting #2: cost 8 inf + 0 87.980 * * [simplify]: Extracting #3: cost 34 inf + 0 87.980 * * [simplify]: Extracting #4: cost 103 inf + 1 87.981 * * [simplify]: Extracting #5: cost 153 inf + 331 87.982 * * [simplify]: Extracting #6: cost 175 inf + 704 87.987 * * [simplify]: Extracting #7: cost 120 inf + 14791 88.005 * * [simplify]: Extracting #8: cost 11 inf + 46552 88.027 * * [simplify]: Extracting #9: cost 0 inf + 50037 88.049 * * [simplify]: Extracting #10: cost 0 inf + 49997 88.072 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) 88.072 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 88.073 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 88.073 * * [simplify]: iters left: 6 (18 enodes) 88.084 * * [simplify]: iters left: 5 (76 enodes) 88.107 * * [simplify]: iters left: 4 (139 enodes) 88.134 * * [simplify]: iters left: 3 (243 enodes) 88.202 * * [simplify]: iters left: 2 (294 enodes) 88.303 * * [simplify]: iters left: 1 (355 enodes) 88.412 * * [simplify]: Extracting #0: cost 1 inf + 0 88.412 * * [simplify]: Extracting #1: cost 4 inf + 0 88.412 * * [simplify]: Extracting #2: cost 8 inf + 0 88.412 * * [simplify]: Extracting #3: cost 18 inf + 0 88.412 * * [simplify]: Extracting #4: cost 43 inf + 1 88.413 * * [simplify]: Extracting #5: cost 73 inf + 2 88.413 * * [simplify]: Extracting #6: cost 67 inf + 1018 88.415 * * [simplify]: Extracting #7: cost 34 inf + 8117 88.424 * * [simplify]: Extracting #8: cost 5 inf + 16463 88.429 * * [simplify]: Extracting #9: cost 0 inf + 17796 88.433 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) 88.433 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))))) 88.433 * * * * [progress]: [ 151 / 458 ] simplifiying candidate # 88.434 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 88.434 * * [simplify]: iters left: 6 (25 enodes) 88.443 * * [simplify]: iters left: 5 (110 enodes) 88.470 * * [simplify]: iters left: 4 (263 enodes) 88.566 * * [simplify]: Extracting #0: cost 1 inf + 0 88.566 * * [simplify]: Extracting #1: cost 4 inf + 0 88.566 * * [simplify]: Extracting #2: cost 8 inf + 0 88.566 * * [simplify]: Extracting #3: cost 30 inf + 0 88.567 * * [simplify]: Extracting #4: cost 109 inf + 1 88.567 * * [simplify]: Extracting #5: cost 183 inf + 331 88.569 * * [simplify]: Extracting #6: cost 179 inf + 6650 88.576 * * [simplify]: Extracting #7: cost 63 inf + 42487 88.591 * * [simplify]: Extracting #8: cost 3 inf + 58196 88.614 * * [simplify]: Extracting #9: cost 0 inf + 60010 88.642 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 88.642 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 88.643 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 88.643 * * [simplify]: iters left: 6 (18 enodes) 88.649 * * [simplify]: iters left: 5 (77 enodes) 88.666 * * [simplify]: iters left: 4 (151 enodes) 88.722 * * [simplify]: iters left: 3 (328 enodes) 88.822 * * [simplify]: iters left: 2 (468 enodes) 88.961 * * [simplify]: Extracting #0: cost 1 inf + 0 88.961 * * [simplify]: Extracting #1: cost 4 inf + 0 88.961 * * [simplify]: Extracting #2: cost 8 inf + 0 88.961 * * [simplify]: Extracting #3: cost 24 inf + 0 88.961 * * [simplify]: Extracting #4: cost 62 inf + 2 88.962 * * [simplify]: Extracting #5: cost 75 inf + 1637 88.965 * * [simplify]: Extracting #6: cost 53 inf + 5967 88.969 * * [simplify]: Extracting #7: cost 35 inf + 7472 88.976 * * [simplify]: Extracting #8: cost 9 inf + 14811 88.985 * * [simplify]: Extracting #9: cost 0 inf + 17329 88.994 * [simplify]: Simplified to (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))))) 88.994 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))))))) 88.995 * * * * [progress]: [ 152 / 458 ] simplifiying candidate # 88.995 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 88.995 * * [simplify]: iters left: 6 (27 enodes) 89.011 * * [simplify]: iters left: 5 (121 enodes) 89.048 * * [simplify]: iters left: 4 (273 enodes) 89.155 * * [simplify]: Extracting #0: cost 1 inf + 0 89.155 * * [simplify]: Extracting #1: cost 4 inf + 0 89.155 * * [simplify]: Extracting #2: cost 8 inf + 0 89.155 * * [simplify]: Extracting #3: cost 34 inf + 0 89.156 * * [simplify]: Extracting #4: cost 108 inf + 1 89.156 * * [simplify]: Extracting #5: cost 167 inf + 454 89.158 * * [simplify]: Extracting #6: cost 195 inf + 704 89.163 * * [simplify]: Extracting #7: cost 134 inf + 17166 89.171 * * [simplify]: Extracting #8: cost 24 inf + 44752 89.181 * * [simplify]: Extracting #9: cost 4 inf + 50873 89.194 * * [simplify]: Extracting #10: cost 0 inf + 53170 89.216 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) 4)))) 89.216 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) 4)))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 89.216 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 89.216 * * [simplify]: iters left: 6 (19 enodes) 89.223 * * [simplify]: iters left: 5 (81 enodes) 89.238 * * [simplify]: iters left: 4 (145 enodes) 89.291 * * [simplify]: iters left: 3 (263 enodes) 89.378 * * [simplify]: iters left: 2 (358 enodes) 89.453 * * [simplify]: iters left: 1 (436 enodes) 89.584 * * [simplify]: Extracting #0: cost 1 inf + 0 89.584 * * [simplify]: Extracting #1: cost 4 inf + 0 89.584 * * [simplify]: Extracting #2: cost 8 inf + 0 89.584 * * [simplify]: Extracting #3: cost 21 inf + 0 89.584 * * [simplify]: Extracting #4: cost 49 inf + 2 89.585 * * [simplify]: Extracting #5: cost 76 inf + 666 89.587 * * [simplify]: Extracting #6: cost 57 inf + 3960 89.591 * * [simplify]: Extracting #7: cost 30 inf + 9372 89.597 * * [simplify]: Extracting #8: cost 6 inf + 17800 89.606 * * [simplify]: Extracting #9: cost 0 inf + 20271 89.614 * [simplify]: Simplified to (* (sqrt (+ (* v (* v 4)) 4)) (sqrt (* (+ 1 (* (+ 1 (* v v)) (* v v))) (sqrt (+ 1 (* (* v 3) v)))))) 89.614 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) 4)))) (* (sqrt (+ (* v (* v 4)) 4)) (sqrt (* (+ 1 (* (+ 1 (* v v)) (* v v))) (sqrt (+ 1 (* (* v 3) v)))))))) 89.615 * * * * [progress]: [ 153 / 458 ] simplifiying candidate # 89.615 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 89.615 * * [simplify]: iters left: 6 (25 enodes) 89.630 * * [simplify]: iters left: 5 (112 enodes) 89.673 * * [simplify]: iters left: 4 (275 enodes) 89.765 * * [simplify]: Extracting #0: cost 1 inf + 0 89.765 * * [simplify]: Extracting #1: cost 4 inf + 0 89.765 * * [simplify]: Extracting #2: cost 8 inf + 0 89.765 * * [simplify]: Extracting #3: cost 35 inf + 0 89.766 * * [simplify]: Extracting #4: cost 124 inf + 1 89.767 * * [simplify]: Extracting #5: cost 200 inf + 208 89.771 * * [simplify]: Extracting #6: cost 193 inf + 10255 89.780 * * [simplify]: Extracting #7: cost 55 inf + 55711 89.794 * * [simplify]: Extracting #8: cost 2 inf + 66363 89.809 * * [simplify]: Extracting #9: cost 0 inf + 66097 89.836 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 89.836 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 89.837 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 89.837 * * [simplify]: iters left: 6 (16 enodes) 89.846 * * [simplify]: iters left: 5 (64 enodes) 89.873 * * [simplify]: iters left: 4 (116 enodes) 89.920 * * [simplify]: iters left: 3 (238 enodes) 89.990 * * [simplify]: iters left: 2 (328 enodes) 90.088 * * [simplify]: iters left: 1 (417 enodes) 90.261 * * [simplify]: Extracting #0: cost 1 inf + 0 90.261 * * [simplify]: Extracting #1: cost 4 inf + 0 90.261 * * [simplify]: Extracting #2: cost 8 inf + 0 90.261 * * [simplify]: Extracting #3: cost 22 inf + 0 90.261 * * [simplify]: Extracting #4: cost 53 inf + 1 90.261 * * [simplify]: Extracting #5: cost 73 inf + 974 90.262 * * [simplify]: Extracting #6: cost 58 inf + 3492 90.263 * * [simplify]: Extracting #7: cost 28 inf + 9656 90.266 * * [simplify]: Extracting #8: cost 2 inf + 18051 90.270 * * [simplify]: Extracting #9: cost 0 inf + 18817 90.274 * [simplify]: Simplified to (* (sqrt (+ 1 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 90.274 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (+ 1 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))))) 90.274 * * * * [progress]: [ 154 / 458 ] simplifiying candidate # 90.275 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 90.275 * * [simplify]: iters left: 6 (27 enodes) 90.287 * * [simplify]: iters left: 5 (123 enodes) 90.334 * * [simplify]: iters left: 4 (287 enodes) 90.429 * * [simplify]: Extracting #0: cost 1 inf + 0 90.429 * * [simplify]: Extracting #1: cost 4 inf + 0 90.429 * * [simplify]: Extracting #2: cost 8 inf + 0 90.429 * * [simplify]: Extracting #3: cost 41 inf + 0 90.429 * * [simplify]: Extracting #4: cost 128 inf + 1 90.430 * * [simplify]: Extracting #5: cost 189 inf + 208 90.432 * * [simplify]: Extracting #6: cost 187 inf + 7561 90.445 * * [simplify]: Extracting #7: cost 71 inf + 38929 90.468 * * [simplify]: Extracting #8: cost 4 inf + 56903 90.493 * * [simplify]: Extracting #9: cost 0 inf + 59172 90.518 * [simplify]: Simplified to (* (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ (sqrt 2) 4)))) 90.518 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ (sqrt 2) 4)))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))))) 90.519 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) 90.519 * * [simplify]: iters left: 6 (17 enodes) 90.530 * * [simplify]: iters left: 5 (68 enodes) 90.544 * * [simplify]: iters left: 4 (117 enodes) 90.569 * * [simplify]: iters left: 3 (229 enodes) 90.638 * * [simplify]: iters left: 2 (322 enodes) 90.698 * * [simplify]: iters left: 1 (397 enodes) 90.804 * * [simplify]: Extracting #0: cost 1 inf + 0 90.804 * * [simplify]: Extracting #1: cost 4 inf + 0 90.804 * * [simplify]: Extracting #2: cost 8 inf + 0 90.804 * * [simplify]: Extracting #3: cost 19 inf + 0 90.804 * * [simplify]: Extracting #4: cost 45 inf + 1 90.805 * * [simplify]: Extracting #5: cost 77 inf + 43 90.806 * * [simplify]: Extracting #6: cost 66 inf + 1114 90.808 * * [simplify]: Extracting #7: cost 36 inf + 6730 90.814 * * [simplify]: Extracting #8: cost 4 inf + 17965 90.821 * * [simplify]: Extracting #9: cost 0 inf + 19457 90.828 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* v 3)))))) (sqrt (+ 1 (* v (* v 3)))))) (sqrt (+ 1 (* v v)))) 90.828 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ (sqrt 2) 4)))) (* (sqrt (+ (* (* v v) (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* v 3)))))) (sqrt (+ 1 (* v (* v 3)))))) (sqrt (+ 1 (* v v)))))) 90.829 * * * * [progress]: [ 155 / 458 ] simplifiying candidate # 90.829 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 90.829 * * [simplify]: iters left: 6 (27 enodes) 90.848 * * [simplify]: iters left: 5 (125 enodes) 90.891 * * [simplify]: iters left: 4 (315 enodes) 91.010 * * [simplify]: Extracting #0: cost 1 inf + 0 91.010 * * [simplify]: Extracting #1: cost 4 inf + 0 91.010 * * [simplify]: Extracting #2: cost 8 inf + 0 91.011 * * [simplify]: Extracting #3: cost 34 inf + 0 91.011 * * [simplify]: Extracting #4: cost 107 inf + 1 91.012 * * [simplify]: Extracting #5: cost 166 inf + 536 91.015 * * [simplify]: Extracting #6: cost 211 inf + 5461 91.024 * * [simplify]: Extracting #7: cost 155 inf + 24805 91.047 * * [simplify]: Extracting #8: cost 28 inf + 57834 91.078 * * [simplify]: Extracting #9: cost 0 inf + 68541 91.101 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 91.101 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 91.101 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 91.102 * * [simplify]: iters left: 6 (23 enodes) 91.109 * * [simplify]: iters left: 5 (102 enodes) 91.133 * * [simplify]: iters left: 4 (212 enodes) 91.221 * * [simplify]: iters left: 3 (412 enodes) 91.368 * * [simplify]: Extracting #0: cost 1 inf + 0 91.368 * * [simplify]: Extracting #1: cost 4 inf + 0 91.368 * * [simplify]: Extracting #2: cost 8 inf + 0 91.368 * * [simplify]: Extracting #3: cost 21 inf + 0 91.368 * * [simplify]: Extracting #4: cost 45 inf + 2 91.368 * * [simplify]: Extracting #5: cost 61 inf + 509 91.369 * * [simplify]: Extracting #6: cost 73 inf + 2009 91.370 * * [simplify]: Extracting #7: cost 53 inf + 5932 91.374 * * [simplify]: Extracting #8: cost 9 inf + 15057 91.379 * * [simplify]: Extracting #9: cost 2 inf + 17280 91.384 * * [simplify]: Extracting #10: cost 0 inf + 18208 91.389 * * [simplify]: Extracting #11: cost 0 inf + 18088 91.395 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))))) 91.395 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))))))) 91.396 * * * * [progress]: [ 156 / 458 ] simplifiying candidate # 91.396 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 91.397 * * [simplify]: iters left: 6 (24 enodes) 91.412 * * [simplify]: iters left: 5 (106 enodes) 91.457 * * [simplify]: iters left: 4 (250 enodes) 91.570 * * [simplify]: Extracting #0: cost 1 inf + 0 91.570 * * [simplify]: Extracting #1: cost 4 inf + 0 91.570 * * [simplify]: Extracting #2: cost 8 inf + 0 91.570 * * [simplify]: Extracting #3: cost 31 inf + 0 91.571 * * [simplify]: Extracting #4: cost 104 inf + 1 91.571 * * [simplify]: Extracting #5: cost 158 inf + 454 91.572 * * [simplify]: Extracting #6: cost 157 inf + 4354 91.579 * * [simplify]: Extracting #7: cost 91 inf + 22659 91.589 * * [simplify]: Extracting #8: cost 12 inf + 48664 91.601 * * [simplify]: Extracting #9: cost 0 inf + 53389 91.623 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 91.623 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 91.624 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 91.624 * * [simplify]: iters left: 6 (18 enodes) 91.631 * * [simplify]: iters left: 5 (71 enodes) 91.645 * * [simplify]: iters left: 4 (123 enodes) 91.674 * * [simplify]: iters left: 3 (251 enodes) 91.761 * * [simplify]: iters left: 2 (346 enodes) 91.883 * * [simplify]: iters left: 1 (427 enodes) 92.022 * * [simplify]: Extracting #0: cost 1 inf + 0 92.022 * * [simplify]: Extracting #1: cost 4 inf + 0 92.022 * * [simplify]: Extracting #2: cost 8 inf + 0 92.022 * * [simplify]: Extracting #3: cost 19 inf + 0 92.022 * * [simplify]: Extracting #4: cost 45 inf + 2 92.023 * * [simplify]: Extracting #5: cost 76 inf + 337 92.024 * * [simplify]: Extracting #6: cost 61 inf + 3261 92.027 * * [simplify]: Extracting #7: cost 34 inf + 8607 92.033 * * [simplify]: Extracting #8: cost 4 inf + 18419 92.042 * * [simplify]: Extracting #9: cost 0 inf + 19391 92.050 * [simplify]: Simplified to (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 92.050 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 92.050 * * * * [progress]: [ 157 / 458 ] simplifiying candidate # 92.051 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 92.051 * * [simplify]: iters left: 6 (27 enodes) 92.068 * * [simplify]: iters left: 5 (127 enodes) 92.125 * * [simplify]: iters left: 4 (329 enodes) 92.298 * * [simplify]: Extracting #0: cost 1 inf + 0 92.298 * * [simplify]: Extracting #1: cost 4 inf + 0 92.298 * * [simplify]: Extracting #2: cost 8 inf + 0 92.298 * * [simplify]: Extracting #3: cost 41 inf + 0 92.299 * * [simplify]: Extracting #4: cost 130 inf + 1 92.300 * * [simplify]: Extracting #5: cost 188 inf + 701 92.303 * * [simplify]: Extracting #6: cost 234 inf + 6291 92.312 * * [simplify]: Extracting #7: cost 180 inf + 26388 92.323 * * [simplify]: Extracting #8: cost 50 inf + 58686 92.339 * * [simplify]: Extracting #9: cost 4 inf + 74036 92.373 * * [simplify]: Extracting #10: cost 0 inf + 76697 92.390 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) 92.390 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 92.391 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 92.391 * * [simplify]: iters left: 6 (21 enodes) 92.398 * * [simplify]: iters left: 5 (95 enodes) 92.437 * * [simplify]: iters left: 4 (205 enodes) 92.501 * * [simplify]: iters left: 3 (407 enodes) 92.642 * * [simplify]: Extracting #0: cost 1 inf + 0 92.642 * * [simplify]: Extracting #1: cost 4 inf + 0 92.643 * * [simplify]: Extracting #2: cost 8 inf + 0 92.643 * * [simplify]: Extracting #3: cost 19 inf + 0 92.643 * * [simplify]: Extracting #4: cost 46 inf + 1 92.644 * * [simplify]: Extracting #5: cost 84 inf + 124 92.645 * * [simplify]: Extracting #6: cost 78 inf + 2122 92.649 * * [simplify]: Extracting #7: cost 35 inf + 8190 92.656 * * [simplify]: Extracting #8: cost 9 inf + 14748 92.666 * * [simplify]: Extracting #9: cost 0 inf + 17416 92.677 * [simplify]: Simplified to (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (sqrt (+ (+ (* (* (* v v) 9) (* v v)) 1) (* 3 (* v v)))))) 92.677 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v)))))) 4))) (* (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (sqrt (+ (+ (* (* (* v v) 9) (* v v)) 1) (* 3 (* v v)))))))) 92.677 * * * * [progress]: [ 158 / 458 ] simplifiying candidate # 92.678 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 92.678 * * [simplify]: iters left: 6 (23 enodes) 92.692 * * [simplify]: iters left: 5 (103 enodes) 92.735 * * [simplify]: iters left: 4 (253 enodes) 92.850 * * [simplify]: Extracting #0: cost 1 inf + 0 92.850 * * [simplify]: Extracting #1: cost 4 inf + 0 92.851 * * [simplify]: Extracting #2: cost 8 inf + 0 92.851 * * [simplify]: Extracting #3: cost 34 inf + 0 92.851 * * [simplify]: Extracting #4: cost 112 inf + 1 92.851 * * [simplify]: Extracting #5: cost 164 inf + 495 92.853 * * [simplify]: Extracting #6: cost 162 inf + 4626 92.857 * * [simplify]: Extracting #7: cost 88 inf + 26426 92.872 * * [simplify]: Extracting #8: cost 3 inf + 51725 92.894 * * [simplify]: Extracting #9: cost 0 inf + 52778 92.917 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))))) 92.917 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 92.918 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 92.918 * * [simplify]: iters left: 6 (16 enodes) 92.928 * * [simplify]: iters left: 5 (64 enodes) 92.942 * * [simplify]: iters left: 4 (116 enodes) 92.966 * * [simplify]: iters left: 3 (238 enodes) 93.059 * * [simplify]: iters left: 2 (328 enodes) 93.137 * * [simplify]: iters left: 1 (417 enodes) 93.278 * * [simplify]: Extracting #0: cost 1 inf + 0 93.278 * * [simplify]: Extracting #1: cost 4 inf + 0 93.278 * * [simplify]: Extracting #2: cost 8 inf + 0 93.278 * * [simplify]: Extracting #3: cost 18 inf + 0 93.278 * * [simplify]: Extracting #4: cost 45 inf + 1 93.278 * * [simplify]: Extracting #5: cost 79 inf + 43 93.279 * * [simplify]: Extracting #6: cost 66 inf + 1495 93.281 * * [simplify]: Extracting #7: cost 31 inf + 8367 93.287 * * [simplify]: Extracting #8: cost 2 inf + 18053 93.294 * * [simplify]: Extracting #9: cost 0 inf + 18819 93.302 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 93.303 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))))) 93.303 * * * * [progress]: [ 159 / 458 ] simplifiying candidate # 93.304 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 93.304 * * [simplify]: iters left: 6 (26 enodes) 93.320 * * [simplify]: iters left: 5 (115 enodes) 93.361 * * [simplify]: iters left: 4 (272 enodes) 93.446 * * [simplify]: Extracting #0: cost 1 inf + 0 93.446 * * [simplify]: Extracting #1: cost 4 inf + 0 93.446 * * [simplify]: Extracting #2: cost 8 inf + 0 93.446 * * [simplify]: Extracting #3: cost 32 inf + 0 93.446 * * [simplify]: Extracting #4: cost 105 inf + 1 93.447 * * [simplify]: Extracting #5: cost 166 inf + 414 93.449 * * [simplify]: Extracting #6: cost 169 inf + 4111 93.456 * * [simplify]: Extracting #7: cost 92 inf + 26142 93.465 * * [simplify]: Extracting #8: cost 9 inf + 48658 93.478 * * [simplify]: Extracting #9: cost 0 inf + 51616 93.494 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 93.494 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)))) 93.495 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) 93.495 * * [simplify]: iters left: 6 (17 enodes) 93.503 * * [simplify]: iters left: 5 (68 enodes) 93.517 * * [simplify]: iters left: 4 (120 enodes) 93.541 * * [simplify]: iters left: 3 (241 enodes) 93.609 * * [simplify]: iters left: 2 (331 enodes) 93.695 * * [simplify]: iters left: 1 (399 enodes) 93.796 * * [simplify]: Extracting #0: cost 1 inf + 0 93.796 * * [simplify]: Extracting #1: cost 4 inf + 0 93.796 * * [simplify]: Extracting #2: cost 5 inf + 1 93.796 * * [simplify]: Extracting #3: cost 14 inf + 1 93.796 * * [simplify]: Extracting #4: cost 41 inf + 2 93.796 * * [simplify]: Extracting #5: cost 75 inf + 44 93.797 * * [simplify]: Extracting #6: cost 66 inf + 749 93.798 * * [simplify]: Extracting #7: cost 32 inf + 8724 93.801 * * [simplify]: Extracting #8: cost 6 inf + 15843 93.807 * * [simplify]: Extracting #9: cost 0 inf + 18335 93.811 * [simplify]: Simplified to (* 2 (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))) 93.811 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* 2 (sqrt (* (+ 1 (+ (* (* v v) (* v v)) (* v v))) (sqrt (+ 1 (* 3 (* v v))))))))) 93.811 * * * * [progress]: [ 160 / 458 ] simplifiying candidate # 93.811 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 93.811 * * [simplify]: iters left: 6 (28 enodes) 93.825 * * [simplify]: iters left: 5 (131 enodes) 93.858 * * [simplify]: iters left: 4 (315 enodes) 93.988 * * [simplify]: Extracting #0: cost 1 inf + 0 93.988 * * [simplify]: Extracting #1: cost 4 inf + 0 93.988 * * [simplify]: Extracting #2: cost 8 inf + 0 93.988 * * [simplify]: Extracting #3: cost 34 inf + 0 93.988 * * [simplify]: Extracting #4: cost 108 inf + 1 93.989 * * [simplify]: Extracting #5: cost 167 inf + 372 93.992 * * [simplify]: Extracting #6: cost 241 inf + 704 94.000 * * [simplify]: Extracting #7: cost 226 inf + 8624 94.017 * * [simplify]: Extracting #8: cost 67 inf + 43856 94.043 * * [simplify]: Extracting #9: cost 2 inf + 67733 94.072 * * [simplify]: Extracting #10: cost 0 inf + 69503 94.103 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 94.103 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 94.104 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 94.104 * * [simplify]: iters left: 6 (25 enodes) 94.120 * * [simplify]: iters left: 5 (119 enodes) 94.157 * * [simplify]: iters left: 4 (275 enodes) 94.259 * * [simplify]: Extracting #0: cost 1 inf + 0 94.259 * * [simplify]: Extracting #1: cost 4 inf + 0 94.259 * * [simplify]: Extracting #2: cost 8 inf + 0 94.259 * * [simplify]: Extracting #3: cost 32 inf + 0 94.260 * * [simplify]: Extracting #4: cost 76 inf + 2 94.261 * * [simplify]: Extracting #5: cost 83 inf + 1672 94.263 * * [simplify]: Extracting #6: cost 84 inf + 4106 94.269 * * [simplify]: Extracting #7: cost 54 inf + 14099 94.287 * * [simplify]: Extracting #8: cost 6 inf + 28164 94.307 * * [simplify]: Extracting #9: cost 0 inf + 28465 94.326 * * [simplify]: Extracting #10: cost 0 inf + 28065 94.345 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1))))) 94.345 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1))))))) 94.346 * * * * [progress]: [ 161 / 458 ] simplifiying candidate # 94.346 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 94.347 * * [simplify]: iters left: 6 (26 enodes) 94.363 * * [simplify]: iters left: 5 (118 enodes) 94.412 * * [simplify]: iters left: 4 (285 enodes) 94.517 * * [simplify]: Extracting #0: cost 1 inf + 0 94.517 * * [simplify]: Extracting #1: cost 4 inf + 0 94.517 * * [simplify]: Extracting #2: cost 8 inf + 0 94.517 * * [simplify]: Extracting #3: cost 30 inf + 0 94.517 * * [simplify]: Extracting #4: cost 94 inf + 1 94.518 * * [simplify]: Extracting #5: cost 124 inf + 373 94.519 * * [simplify]: Extracting #6: cost 178 inf + 2731 94.522 * * [simplify]: Extracting #7: cost 170 inf + 13027 94.531 * * [simplify]: Extracting #8: cost 44 inf + 43713 94.555 * * [simplify]: Extracting #9: cost 3 inf + 56799 94.578 * * [simplify]: Extracting #10: cost 0 inf + 56859 94.591 * * [simplify]: Extracting #11: cost 0 inf + 56779 94.606 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) (* (* v (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* (* v (* v v)) 3) (* (* v (* v v)) 3)) 3)))))) 94.606 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v 3) (* (* v (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* (* v (* v v)) 3) (* (* v (* v v)) 3)) 3)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 94.607 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 94.607 * * [simplify]: iters left: 6 (21 enodes) 94.616 * * [simplify]: iters left: 5 (102 enodes) 94.639 * * [simplify]: iters left: 4 (223 enodes) 94.700 * * [simplify]: iters left: 3 (368 enodes) 94.838 * * [simplify]: Extracting #0: cost 1 inf + 0 94.838 * * [simplify]: Extracting #1: cost 4 inf + 0 94.838 * * [simplify]: Extracting #2: cost 8 inf + 0 94.838 * * [simplify]: Extracting #3: cost 22 inf + 0 94.839 * * [simplify]: Extracting #4: cost 38 inf + 2 94.839 * * [simplify]: Extracting #5: cost 45 inf + 617 94.840 * * [simplify]: Extracting #6: cost 69 inf + 1233 94.842 * * [simplify]: Extracting #7: cost 78 inf + 1601 94.846 * * [simplify]: Extracting #8: cost 32 inf + 9529 94.853 * * [simplify]: Extracting #9: cost 3 inf + 16665 94.859 * * [simplify]: Extracting #10: cost 0 inf + 17445 94.864 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1))))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))) 94.864 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v 3) (* (* v (* v v)) 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* (* v (* v v)) 3) (* (* v (* v v)) 3)) 3)))))) (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1))))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))))) 94.866 * * * * [progress]: [ 162 / 458 ] simplifiying candidate # 94.866 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 94.867 * * [simplify]: iters left: 6 (25 enodes) 94.875 * * [simplify]: iters left: 5 (112 enodes) 94.906 * * [simplify]: iters left: 4 (250 enodes) 95.008 * * [simplify]: Extracting #0: cost 1 inf + 0 95.008 * * [simplify]: Extracting #1: cost 4 inf + 0 95.008 * * [simplify]: Extracting #2: cost 8 inf + 0 95.008 * * [simplify]: Extracting #3: cost 33 inf + 0 95.009 * * [simplify]: Extracting #4: cost 102 inf + 1 95.010 * * [simplify]: Extracting #5: cost 152 inf + 331 95.011 * * [simplify]: Extracting #6: cost 171 inf + 949 95.017 * * [simplify]: Extracting #7: cost 118 inf + 15278 95.034 * * [simplify]: Extracting #8: cost 16 inf + 42239 95.055 * * [simplify]: Extracting #9: cost 0 inf + 48178 95.076 * * [simplify]: Extracting #10: cost 0 inf + 48138 95.094 * [simplify]: Simplified to (* (sqrt (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 95.094 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 95.094 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 95.094 * * [simplify]: iters left: 6 (20 enodes) 95.102 * * [simplify]: iters left: 5 (88 enodes) 95.124 * * [simplify]: iters left: 4 (192 enodes) 95.171 * * [simplify]: iters left: 3 (422 enodes) 95.367 * * [simplify]: Extracting #0: cost 1 inf + 0 95.367 * * [simplify]: Extracting #1: cost 4 inf + 0 95.367 * * [simplify]: Extracting #2: cost 8 inf + 0 95.368 * * [simplify]: Extracting #3: cost 32 inf + 0 95.368 * * [simplify]: Extracting #4: cost 72 inf + 2 95.369 * * [simplify]: Extracting #5: cost 94 inf + 2662 95.370 * * [simplify]: Extracting #6: cost 57 inf + 8264 95.375 * * [simplify]: Extracting #7: cost 12 inf + 18734 95.382 * * [simplify]: Extracting #8: cost 1 inf + 21943 95.389 * * [simplify]: Extracting #9: cost 0 inf + 22507 95.402 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* v v) (+ (* (* v v) (* v v)) 1))))) 95.402 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* v v) (+ (* (* v v) (* v v)) 1))))))) 95.403 * * * * [progress]: [ 163 / 458 ] simplifiying candidate # 95.403 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 95.403 * * [simplify]: iters left: 6 (22 enodes) 95.417 * * [simplify]: iters left: 5 (93 enodes) 95.455 * * [simplify]: iters left: 4 (192 enodes) 95.539 * * [simplify]: iters left: 3 (468 enodes) 95.777 * * [simplify]: Extracting #0: cost 1 inf + 0 95.777 * * [simplify]: Extracting #1: cost 4 inf + 0 95.777 * * [simplify]: Extracting #2: cost 8 inf + 0 95.777 * * [simplify]: Extracting #3: cost 39 inf + 0 95.778 * * [simplify]: Extracting #4: cost 170 inf + 2 95.780 * * [simplify]: Extracting #5: cost 260 inf + 168 95.785 * * [simplify]: Extracting #6: cost 222 inf + 9387 95.798 * * [simplify]: Extracting #7: cost 155 inf + 29245 95.838 * * [simplify]: Extracting #8: cost 14 inf + 76402 95.890 * * [simplify]: Extracting #9: cost 0 inf + 81944 95.928 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))))) 95.929 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 95.929 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 95.929 * * [simplify]: iters left: 6 (15 enodes) 95.934 * * [simplify]: iters left: 5 (69 enodes) 95.948 * * [simplify]: iters left: 4 (116 enodes) 95.971 * * [simplify]: iters left: 3 (190 enodes) 96.025 * * [simplify]: iters left: 2 (215 enodes) 96.084 * * [simplify]: Extracting #0: cost 1 inf + 0 96.084 * * [simplify]: Extracting #1: cost 4 inf + 0 96.084 * * [simplify]: Extracting #2: cost 8 inf + 0 96.085 * * [simplify]: Extracting #3: cost 18 inf + 0 96.085 * * [simplify]: Extracting #4: cost 29 inf + 2 96.085 * * [simplify]: Extracting #5: cost 29 inf + 454 96.086 * * [simplify]: Extracting #6: cost 28 inf + 741 96.087 * * [simplify]: Extracting #7: cost 28 inf + 742 96.087 * * [simplify]: Extracting #8: cost 24 inf + 1031 96.089 * * [simplify]: Extracting #9: cost 12 inf + 3551 96.092 * * [simplify]: Extracting #10: cost 2 inf + 6026 96.096 * * [simplify]: Extracting #11: cost 1 inf + 6510 96.100 * * [simplify]: Extracting #12: cost 0 inf + 6994 96.103 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* v v) 1)))) 96.103 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* v v) 1)))))) 96.104 * * * * [progress]: [ 164 / 458 ] simplifiying candidate # 96.104 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 96.104 * * [simplify]: iters left: 6 (28 enodes) 96.122 * * [simplify]: iters left: 5 (133 enodes) 96.176 * * [simplify]: iters left: 4 (329 enodes) 96.330 * * [simplify]: Extracting #0: cost 1 inf + 0 96.330 * * [simplify]: Extracting #1: cost 4 inf + 0 96.330 * * [simplify]: Extracting #2: cost 8 inf + 0 96.330 * * [simplify]: Extracting #3: cost 41 inf + 0 96.331 * * [simplify]: Extracting #4: cost 125 inf + 1 96.332 * * [simplify]: Extracting #5: cost 182 inf + 536 96.334 * * [simplify]: Extracting #6: cost 247 inf + 2385 96.340 * * [simplify]: Extracting #7: cost 218 inf + 13593 96.354 * * [simplify]: Extracting #8: cost 101 inf + 37990 96.385 * * [simplify]: Extracting #9: cost 8 inf + 74451 96.417 * * [simplify]: Extracting #10: cost 0 inf + 75406 96.448 * * [simplify]: Extracting #11: cost 0 inf + 74848 96.469 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ (sqrt 2) 4))))) 96.469 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 96.469 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 96.470 * * [simplify]: iters left: 6 (23 enodes) 96.478 * * [simplify]: iters left: 5 (110 enodes) 96.508 * * [simplify]: iters left: 4 (234 enodes) 96.589 * * [simplify]: iters left: 3 (423 enodes) 96.773 * * [simplify]: Extracting #0: cost 1 inf + 0 96.773 * * [simplify]: Extracting #1: cost 4 inf + 0 96.773 * * [simplify]: Extracting #2: cost 8 inf + 0 96.773 * * [simplify]: Extracting #3: cost 21 inf + 0 96.773 * * [simplify]: Extracting #4: cost 48 inf + 1 96.774 * * [simplify]: Extracting #5: cost 64 inf + 124 96.775 * * [simplify]: Extracting #6: cost 82 inf + 1060 96.777 * * [simplify]: Extracting #7: cost 70 inf + 3989 96.783 * * [simplify]: Extracting #8: cost 25 inf + 12073 96.794 * * [simplify]: Extracting #9: cost 4 inf + 19055 96.807 * * [simplify]: Extracting #10: cost 0 inf + 20827 96.820 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) (+ (* v v) (+ (* (* v v) (* v v)) 1)))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))) 96.820 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) (+ (* v v) (+ (* (* v v) (* v v)) 1)))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))))) 96.820 * * * * [progress]: [ 165 / 458 ] simplifiying candidate # 96.821 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 96.821 * * [simplify]: iters left: 6 (26 enodes) 96.838 * * [simplify]: iters left: 5 (120 enodes) 96.879 * * [simplify]: iters left: 4 (297 enodes) 97.028 * * [simplify]: Extracting #0: cost 1 inf + 0 97.028 * * [simplify]: Extracting #1: cost 4 inf + 0 97.028 * * [simplify]: Extracting #2: cost 8 inf + 0 97.028 * * [simplify]: Extracting #3: cost 35 inf + 0 97.028 * * [simplify]: Extracting #4: cost 106 inf + 1 97.029 * * [simplify]: Extracting #5: cost 138 inf + 209 97.031 * * [simplify]: Extracting #6: cost 192 inf + 2445 97.037 * * [simplify]: Extracting #7: cost 180 inf + 12832 97.055 * * [simplify]: Extracting #8: cost 53 inf + 41185 97.081 * * [simplify]: Extracting #9: cost 3 inf + 60192 97.110 * * [simplify]: Extracting #10: cost 0 inf + 61132 97.139 * [simplify]: Simplified to (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 97.139 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 97.139 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 97.140 * * [simplify]: iters left: 6 (19 enodes) 97.152 * * [simplify]: iters left: 5 (93 enodes) 97.190 * * [simplify]: iters left: 4 (185 enodes) 97.236 * * [simplify]: iters left: 3 (304 enodes) 97.352 * * [simplify]: iters left: 2 (430 enodes) 97.537 * * [simplify]: Extracting #0: cost 1 inf + 0 97.537 * * [simplify]: Extracting #1: cost 4 inf + 0 97.537 * * [simplify]: Extracting #2: cost 8 inf + 0 97.538 * * [simplify]: Extracting #3: cost 16 inf + 0 97.538 * * [simplify]: Extracting #4: cost 26 inf + 1 97.538 * * [simplify]: Extracting #5: cost 32 inf + 125 97.538 * * [simplify]: Extracting #6: cost 50 inf + 248 97.539 * * [simplify]: Extracting #7: cost 68 inf + 412 97.542 * * [simplify]: Extracting #8: cost 31 inf + 5975 97.547 * * [simplify]: Extracting #9: cost 6 inf + 11136 97.554 * * [simplify]: Extracting #10: cost 0 inf + 13360 97.561 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) (+ (* v v) 1))) (sqrt (+ (* (* v v) (sqrt (+ (* (* v v) 3) 1))) (sqrt (+ (* (* v v) 3) 1))))) 97.561 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) (+ (* v v) 1))) (sqrt (+ (* (* v v) (sqrt (+ (* (* v v) 3) 1))) (sqrt (+ (* (* v v) 3) 1))))))) 97.562 * * * * [progress]: [ 166 / 458 ] simplifiying candidate # 97.562 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 97.562 * * [simplify]: iters left: 6 (24 enodes) 97.578 * * [simplify]: iters left: 5 (109 enodes) 97.623 * * [simplify]: iters left: 4 (253 enodes) 97.748 * * [simplify]: Extracting #0: cost 1 inf + 0 97.749 * * [simplify]: Extracting #1: cost 4 inf + 0 97.749 * * [simplify]: Extracting #2: cost 8 inf + 0 97.749 * * [simplify]: Extracting #3: cost 36 inf + 0 97.749 * * [simplify]: Extracting #4: cost 105 inf + 1 97.750 * * [simplify]: Extracting #5: cost 155 inf + 331 97.751 * * [simplify]: Extracting #6: cost 177 inf + 704 97.756 * * [simplify]: Extracting #7: cost 126 inf + 14021 97.774 * * [simplify]: Extracting #8: cost 11 inf + 46353 97.796 * * [simplify]: Extracting #9: cost 0 inf + 50527 97.814 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) 97.814 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 97.814 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 97.814 * * [simplify]: iters left: 6 (18 enodes) 97.820 * * [simplify]: iters left: 5 (79 enodes) 97.840 * * [simplify]: iters left: 4 (149 enodes) 97.873 * * [simplify]: iters left: 3 (241 enodes) 97.952 * * [simplify]: iters left: 2 (304 enodes) 98.030 * * [simplify]: iters left: 1 (361 enodes) 98.094 * * [simplify]: Extracting #0: cost 1 inf + 0 98.094 * * [simplify]: Extracting #1: cost 4 inf + 0 98.094 * * [simplify]: Extracting #2: cost 8 inf + 0 98.095 * * [simplify]: Extracting #3: cost 18 inf + 0 98.095 * * [simplify]: Extracting #4: cost 44 inf + 1 98.095 * * [simplify]: Extracting #5: cost 76 inf + 124 98.096 * * [simplify]: Extracting #6: cost 64 inf + 1265 98.099 * * [simplify]: Extracting #7: cost 32 inf + 9450 98.105 * * [simplify]: Extracting #8: cost 3 inf + 17919 98.113 * * [simplify]: Extracting #9: cost 0 inf + 19139 98.121 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))) 98.121 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))))) 98.122 * * * * [progress]: [ 167 / 458 ] simplifiying candidate # 98.122 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 98.122 * * [simplify]: iters left: 6 (19 enodes) 98.133 * * [simplify]: iters left: 5 (79 enodes) 98.150 * * [simplify]: iters left: 4 (175 enodes) 98.209 * * [simplify]: iters left: 3 (425 enodes) 98.395 * * [simplify]: Extracting #0: cost 1 inf + 0 98.395 * * [simplify]: Extracting #1: cost 28 inf + 0 98.396 * * [simplify]: Extracting #2: cost 104 inf + 2 98.397 * * [simplify]: Extracting #3: cost 183 inf + 250 98.400 * * [simplify]: Extracting #4: cost 168 inf + 5416 98.411 * * [simplify]: Extracting #5: cost 102 inf + 23219 98.445 * * [simplify]: Extracting #6: cost 10 inf + 50901 98.478 * * [simplify]: Extracting #7: cost 0 inf + 54865 98.511 * [simplify]: Simplified to (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) 98.511 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 98.512 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 98.512 * * [simplify]: iters left: 6 (11 enodes) 98.519 * * [simplify]: iters left: 5 (45 enodes) 98.534 * * [simplify]: iters left: 4 (62 enodes) 98.553 * * [simplify]: iters left: 3 (87 enodes) 98.577 * * [simplify]: iters left: 2 (89 enodes) 98.590 * * [simplify]: iters left: 1 (91 enodes) 98.602 * * [simplify]: Extracting #0: cost 1 inf + 0 98.603 * * [simplify]: Extracting #1: cost 7 inf + 0 98.603 * * [simplify]: Extracting #2: cost 14 inf + 1 98.603 * * [simplify]: Extracting #3: cost 15 inf + 125 98.603 * * [simplify]: Extracting #4: cost 16 inf + 248 98.603 * * [simplify]: Extracting #5: cost 16 inf + 249 98.604 * * [simplify]: Extracting #6: cost 11 inf + 620 98.605 * * [simplify]: Extracting #7: cost 2 inf + 2447 98.606 * * [simplify]: Extracting #8: cost 0 inf + 2933 98.608 * [simplify]: Simplified to (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))) 98.608 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))) (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) 98.608 * * * * [progress]: [ 168 / 458 ] simplifiying candidate # 98.608 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 98.609 * * [simplify]: iters left: 6 (27 enodes) 98.626 * * [simplify]: iters left: 5 (121 enodes) 98.654 * * [simplify]: iters left: 4 (273 enodes) 98.773 * * [simplify]: Extracting #0: cost 1 inf + 0 98.773 * * [simplify]: Extracting #1: cost 4 inf + 0 98.773 * * [simplify]: Extracting #2: cost 8 inf + 0 98.773 * * [simplify]: Extracting #3: cost 34 inf + 0 98.773 * * [simplify]: Extracting #4: cost 108 inf + 1 98.774 * * [simplify]: Extracting #5: cost 167 inf + 495 98.774 * * [simplify]: Extracting #6: cost 195 inf + 704 98.776 * * [simplify]: Extracting #7: cost 153 inf + 10193 98.783 * * [simplify]: Extracting #8: cost 48 inf + 35410 98.792 * * [simplify]: Extracting #9: cost 5 inf + 48978 98.815 * * [simplify]: Extracting #10: cost 0 inf + 51678 98.835 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) 98.835 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 98.836 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 98.836 * * [simplify]: iters left: 6 (19 enodes) 98.849 * * [simplify]: iters left: 5 (81 enodes) 98.878 * * [simplify]: iters left: 4 (145 enodes) 98.922 * * [simplify]: iters left: 3 (254 enodes) 98.977 * * [simplify]: iters left: 2 (328 enodes) 99.048 * * [simplify]: iters left: 1 (401 enodes) 99.183 * * [simplify]: Extracting #0: cost 1 inf + 0 99.184 * * [simplify]: Extracting #1: cost 4 inf + 0 99.184 * * [simplify]: Extracting #2: cost 8 inf + 0 99.184 * * [simplify]: Extracting #3: cost 21 inf + 0 99.184 * * [simplify]: Extracting #4: cost 48 inf + 2 99.185 * * [simplify]: Extracting #5: cost 67 inf + 2457 99.188 * * [simplify]: Extracting #6: cost 47 inf + 4806 99.193 * * [simplify]: Extracting #7: cost 6 inf + 13440 99.198 * * [simplify]: Extracting #8: cost 0 inf + 15269 99.204 * [simplify]: Simplified to (* (sqrt (+ (+ (* 4 (* v v)) 4) (* (* 4 (* v v)) (* v v)))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))) 99.205 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (+ (+ (* 4 (* v v)) 4) (* (* 4 (* v v)) (* v v)))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))))) 99.205 * * * * [progress]: [ 169 / 458 ] simplifiying candidate # 99.209 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 99.209 * * [simplify]: iters left: 6 (24 enodes) 99.223 * * [simplify]: iters left: 5 (103 enodes) 99.251 * * [simplify]: iters left: 4 (227 enodes) 99.323 * * [simplify]: Extracting #0: cost 1 inf + 0 99.323 * * [simplify]: Extracting #1: cost 4 inf + 0 99.323 * * [simplify]: Extracting #2: cost 8 inf + 0 99.323 * * [simplify]: Extracting #3: cost 32 inf + 0 99.323 * * [simplify]: Extracting #4: cost 93 inf + 1 99.323 * * [simplify]: Extracting #5: cost 122 inf + 496 99.324 * * [simplify]: Extracting #6: cost 134 inf + 2284 99.327 * * [simplify]: Extracting #7: cost 76 inf + 16926 99.334 * * [simplify]: Extracting #8: cost 22 inf + 29823 99.342 * * [simplify]: Extracting #9: cost 2 inf + 36057 99.354 * * [simplify]: Extracting #10: cost 0 inf + 37187 99.371 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* v v) -3) 1)) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) 99.371 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* v v) -3) 1)) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))))) 99.372 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) 99.372 * * [simplify]: iters left: 6 (14 enodes) 99.378 * * [simplify]: iters left: 5 (64 enodes) 99.390 * * [simplify]: iters left: 4 (90 enodes) 99.403 * * [simplify]: iters left: 3 (119 enodes) 99.435 * * [simplify]: Extracting #0: cost 1 inf + 0 99.435 * * [simplify]: Extracting #1: cost 4 inf + 0 99.435 * * [simplify]: Extracting #2: cost 8 inf + 0 99.435 * * [simplify]: Extracting #3: cost 16 inf + 0 99.435 * * [simplify]: Extracting #4: cost 23 inf + 2 99.435 * * [simplify]: Extracting #5: cost 21 inf + 534 99.436 * * [simplify]: Extracting #6: cost 18 inf + 1065 99.437 * * [simplify]: Extracting #7: cost 17 inf + 1108 99.437 * * [simplify]: Extracting #8: cost 14 inf + 1355 99.439 * * [simplify]: Extracting #9: cost 3 inf + 3668 99.441 * * [simplify]: Extracting #10: cost 0 inf + 4638 99.443 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* 4 (* v v)) 4))) 99.443 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ (* (* v v) (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* 4 (* v v)) 4))))) 99.443 * * * * [progress]: [ 170 / 458 ] simplifiying candidate # 99.444 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 99.444 * * [simplify]: iters left: 6 (27 enodes) 99.461 * * [simplify]: iters left: 5 (123 enodes) 99.510 * * [simplify]: iters left: 4 (287 enodes) 99.619 * * [simplify]: Extracting #0: cost 1 inf + 0 99.619 * * [simplify]: Extracting #1: cost 4 inf + 0 99.619 * * [simplify]: Extracting #2: cost 8 inf + 0 99.619 * * [simplify]: Extracting #3: cost 41 inf + 0 99.620 * * [simplify]: Extracting #4: cost 128 inf + 1 99.621 * * [simplify]: Extracting #5: cost 189 inf + 208 99.624 * * [simplify]: Extracting #6: cost 185 inf + 6070 99.635 * * [simplify]: Extracting #7: cost 92 inf + 28477 99.655 * * [simplify]: Extracting #8: cost 10 inf + 54127 99.672 * * [simplify]: Extracting #9: cost 0 inf + 58692 99.685 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 99.685 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 99.685 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 99.685 * * [simplify]: iters left: 6 (17 enodes) 99.691 * * [simplify]: iters left: 5 (69 enodes) 99.713 * * [simplify]: iters left: 4 (117 enodes) 99.754 * * [simplify]: iters left: 3 (155 enodes) 99.807 * * [simplify]: iters left: 2 (186 enodes) 99.862 * * [simplify]: iters left: 1 (218 enodes) 99.924 * * [simplify]: Extracting #0: cost 1 inf + 0 99.924 * * [simplify]: Extracting #1: cost 4 inf + 0 99.924 * * [simplify]: Extracting #2: cost 8 inf + 0 99.925 * * [simplify]: Extracting #3: cost 18 inf + 0 99.925 * * [simplify]: Extracting #4: cost 37 inf + 1 99.925 * * [simplify]: Extracting #5: cost 52 inf + 166 99.926 * * [simplify]: Extracting #6: cost 34 inf + 3291 99.928 * * [simplify]: Extracting #7: cost 9 inf + 8051 99.929 * * [simplify]: Extracting #8: cost 1 inf + 10082 99.931 * * [simplify]: Extracting #9: cost 0 inf + 10285 99.932 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))) 99.933 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))))) 99.933 * * * * [progress]: [ 171 / 458 ] simplifiying candidate # 99.933 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 99.933 * * [simplify]: iters left: 6 (24 enodes) 99.941 * * [simplify]: iters left: 5 (105 enodes) 99.966 * * [simplify]: iters left: 4 (239 enodes) 100.056 * * [simplify]: Extracting #0: cost 1 inf + 0 100.056 * * [simplify]: Extracting #1: cost 4 inf + 0 100.056 * * [simplify]: Extracting #2: cost 8 inf + 0 100.056 * * [simplify]: Extracting #3: cost 35 inf + 0 100.056 * * [simplify]: Extracting #4: cost 103 inf + 1 100.057 * * [simplify]: Extracting #5: cost 133 inf + 413 100.057 * * [simplify]: Extracting #6: cost 144 inf + 2122 100.063 * * [simplify]: Extracting #7: cost 78 inf + 19192 100.076 * * [simplify]: Extracting #8: cost 31 inf + 30196 100.087 * * [simplify]: Extracting #9: cost 0 inf + 40362 100.096 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) 100.096 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 100.097 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 100.097 * * [simplify]: iters left: 6 (12 enodes) 100.100 * * [simplify]: iters left: 5 (51 enodes) 100.109 * * [simplify]: iters left: 4 (67 enodes) 100.127 * * [simplify]: iters left: 3 (92 enodes) 100.159 * * [simplify]: Extracting #0: cost 1 inf + 0 100.159 * * [simplify]: Extracting #1: cost 4 inf + 0 100.159 * * [simplify]: Extracting #2: cost 8 inf + 0 100.159 * * [simplify]: Extracting #3: cost 14 inf + 0 100.160 * * [simplify]: Extracting #4: cost 19 inf + 1 100.160 * * [simplify]: Extracting #5: cost 19 inf + 125 100.160 * * [simplify]: Extracting #6: cost 19 inf + 370 100.160 * * [simplify]: Extracting #7: cost 17 inf + 535 100.161 * * [simplify]: Extracting #8: cost 13 inf + 864 100.162 * * [simplify]: Extracting #9: cost 5 inf + 2448 100.163 * * [simplify]: Extracting #10: cost 0 inf + 3983 100.165 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (+ (* v v) 1))) 100.165 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (+ (* v v) 1))))) 100.166 * * * * [progress]: [ 172 / 458 ] simplifiying candidate # 100.166 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 100.166 * * [simplify]: iters left: 6 (27 enodes) 100.182 * * [simplify]: iters left: 5 (123 enodes) 100.207 * * [simplify]: iters left: 4 (294 enodes) 100.315 * * [simplify]: Extracting #0: cost 1 inf + 0 100.315 * * [simplify]: Extracting #1: cost 4 inf + 0 100.315 * * [simplify]: Extracting #2: cost 8 inf + 0 100.315 * * [simplify]: Extracting #3: cost 34 inf + 0 100.315 * * [simplify]: Extracting #4: cost 95 inf + 1 100.316 * * [simplify]: Extracting #5: cost 122 inf + 373 100.317 * * [simplify]: Extracting #6: cost 174 inf + 3215 100.324 * * [simplify]: Extracting #7: cost 149 inf + 16535 100.332 * * [simplify]: Extracting #8: cost 35 inf + 40565 100.344 * * [simplify]: Extracting #9: cost 10 inf + 48679 100.356 * * [simplify]: Extracting #10: cost 0 inf + 53790 100.368 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* (* v v) 9)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 100.368 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* (* v v) 9)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 100.368 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 100.369 * * [simplify]: iters left: 6 (20 enodes) 100.375 * * [simplify]: iters left: 5 (90 enodes) 100.394 * * [simplify]: iters left: 4 (172 enodes) 100.447 * * [simplify]: iters left: 3 (275 enodes) 100.576 * * [simplify]: iters left: 2 (393 enodes) 100.716 * * [simplify]: Extracting #0: cost 1 inf + 0 100.716 * * [simplify]: Extracting #1: cost 4 inf + 0 100.716 * * [simplify]: Extracting #2: cost 8 inf + 0 100.716 * * [simplify]: Extracting #3: cost 16 inf + 0 100.716 * * [simplify]: Extracting #4: cost 23 inf + 2 100.717 * * [simplify]: Extracting #5: cost 27 inf + 208 100.717 * * [simplify]: Extracting #6: cost 46 inf + 249 100.717 * * [simplify]: Extracting #7: cost 58 inf + 903 100.718 * * [simplify]: Extracting #8: cost 40 inf + 3387 100.720 * * [simplify]: Extracting #9: cost 17 inf + 7729 100.723 * * [simplify]: Extracting #10: cost 2 inf + 11352 100.726 * * [simplify]: Extracting #11: cost 0 inf + 12480 100.729 * * [simplify]: Extracting #12: cost 0 inf + 12318 100.732 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* (sqrt (+ (* (+ (* (* v 3) v) 1) (* (* v 3) v)) 1)) 4))) 100.732 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v v) (* (* v v) 9)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* (sqrt (+ (* (+ (* (* v 3) v) 1) (* (* v 3) v)) 1)) 4))))) 100.733 * * * * [progress]: [ 173 / 458 ] simplifiying candidate # 100.733 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 100.733 * * [simplify]: iters left: 6 (23 enodes) 100.748 * * [simplify]: iters left: 5 (99 enodes) 100.789 * * [simplify]: iters left: 4 (214 enodes) 100.884 * * [simplify]: Extracting #0: cost 1 inf + 0 100.884 * * [simplify]: Extracting #1: cost 4 inf + 0 100.884 * * [simplify]: Extracting #2: cost 8 inf + 0 100.884 * * [simplify]: Extracting #3: cost 35 inf + 0 100.885 * * [simplify]: Extracting #4: cost 96 inf + 1 100.886 * * [simplify]: Extracting #5: cost 112 inf + 495 100.887 * * [simplify]: Extracting #6: cost 111 inf + 3907 100.891 * * [simplify]: Extracting #7: cost 98 inf + 6958 100.904 * * [simplify]: Extracting #8: cost 26 inf + 24523 100.920 * * [simplify]: Extracting #9: cost 3 inf + 32456 100.936 * * [simplify]: Extracting #10: cost 0 inf + 34230 100.953 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) 100.954 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 100.954 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 100.954 * * [simplify]: iters left: 6 (14 enodes) 100.962 * * [simplify]: iters left: 5 (58 enodes) 100.981 * * [simplify]: iters left: 4 (74 enodes) 100.994 * * [simplify]: iters left: 3 (105 enodes) 101.010 * * [simplify]: Extracting #0: cost 1 inf + 0 101.010 * * [simplify]: Extracting #1: cost 4 inf + 0 101.010 * * [simplify]: Extracting #2: cost 8 inf + 0 101.010 * * [simplify]: Extracting #3: cost 15 inf + 0 101.010 * * [simplify]: Extracting #4: cost 20 inf + 2 101.011 * * [simplify]: Extracting #5: cost 21 inf + 126 101.011 * * [simplify]: Extracting #6: cost 22 inf + 249 101.011 * * [simplify]: Extracting #7: cost 22 inf + 250 101.011 * * [simplify]: Extracting #8: cost 19 inf + 497 101.012 * * [simplify]: Extracting #9: cost 6 inf + 3058 101.014 * * [simplify]: Extracting #10: cost 0 inf + 4638 101.016 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3)))))) 101.016 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3)))))))) 101.017 * * * * [progress]: [ 174 / 458 ] simplifiying candidate # 101.017 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 101.018 * * [simplify]: iters left: 6 (27 enodes) 101.037 * * [simplify]: iters left: 5 (125 enodes) 101.086 * * [simplify]: iters left: 4 (308 enodes) 101.227 * * [simplify]: Extracting #0: cost 1 inf + 0 101.227 * * [simplify]: Extracting #1: cost 4 inf + 0 101.227 * * [simplify]: Extracting #2: cost 8 inf + 0 101.228 * * [simplify]: Extracting #3: cost 41 inf + 0 101.228 * * [simplify]: Extracting #4: cost 115 inf + 1 101.229 * * [simplify]: Extracting #5: cost 142 inf + 290 101.231 * * [simplify]: Extracting #6: cost 188 inf + 4672 101.239 * * [simplify]: Extracting #7: cost 157 inf + 17479 101.257 * * [simplify]: Extracting #8: cost 49 inf + 41131 101.289 * * [simplify]: Extracting #9: cost 4 inf + 56995 101.316 * * [simplify]: Extracting #10: cost 0 inf + 59425 101.343 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) 101.343 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 101.343 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 101.344 * * [simplify]: iters left: 6 (18 enodes) 101.355 * * [simplify]: iters left: 5 (83 enodes) 101.383 * * [simplify]: iters left: 4 (166 enodes) 101.426 * * [simplify]: iters left: 3 (270 enodes) 101.530 * * [simplify]: iters left: 2 (391 enodes) 101.657 * * [simplify]: Extracting #0: cost 1 inf + 0 101.657 * * [simplify]: Extracting #1: cost 4 inf + 0 101.657 * * [simplify]: Extracting #2: cost 8 inf + 0 101.657 * * [simplify]: Extracting #3: cost 15 inf + 0 101.658 * * [simplify]: Extracting #4: cost 26 inf + 1 101.658 * * [simplify]: Extracting #5: cost 46 inf + 125 101.658 * * [simplify]: Extracting #6: cost 60 inf + 536 101.659 * * [simplify]: Extracting #7: cost 23 inf + 5912 101.662 * * [simplify]: Extracting #8: cost 3 inf + 10406 101.665 * * [simplify]: Extracting #9: cost 0 inf + 11434 101.667 * [simplify]: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (+ (* (* v v) 9) 3) (* v v)) 1)))) 101.667 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (+ (* (* v v) 9) 3) (* v v)) 1)))))) 101.668 * * * * [progress]: [ 175 / 458 ] simplifiying candidate # 101.668 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 101.668 * * [simplify]: iters left: 6 (22 enodes) 101.675 * * [simplify]: iters left: 5 (96 enodes) 101.695 * * [simplify]: iters left: 4 (217 enodes) 101.763 * * [simplify]: Extracting #0: cost 1 inf + 0 101.763 * * [simplify]: Extracting #1: cost 4 inf + 0 101.763 * * [simplify]: Extracting #2: cost 8 inf + 0 101.763 * * [simplify]: Extracting #3: cost 36 inf + 0 101.764 * * [simplify]: Extracting #4: cost 100 inf + 1 101.764 * * [simplify]: Extracting #5: cost 116 inf + 495 101.766 * * [simplify]: Extracting #6: cost 113 inf + 4599 101.775 * * [simplify]: Extracting #7: cost 48 inf + 22963 101.791 * * [simplify]: Extracting #8: cost 1 inf + 35128 101.800 * * [simplify]: Extracting #9: cost 0 inf + 35813 101.809 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) 4))) 101.809 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) 4))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 101.810 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 101.810 * * [simplify]: iters left: 6 (12 enodes) 101.813 * * [simplify]: iters left: 5 (51 enodes) 101.827 * * [simplify]: iters left: 4 (67 enodes) 101.848 * * [simplify]: iters left: 3 (92 enodes) 101.877 * * [simplify]: Extracting #0: cost 1 inf + 0 101.877 * * [simplify]: Extracting #1: cost 4 inf + 0 101.877 * * [simplify]: Extracting #2: cost 8 inf + 0 101.877 * * [simplify]: Extracting #3: cost 14 inf + 0 101.878 * * [simplify]: Extracting #4: cost 20 inf + 1 101.878 * * [simplify]: Extracting #5: cost 22 inf + 125 101.878 * * [simplify]: Extracting #6: cost 19 inf + 291 101.878 * * [simplify]: Extracting #7: cost 15 inf + 620 101.879 * * [simplify]: Extracting #8: cost 6 inf + 2407 101.881 * * [simplify]: Extracting #9: cost 0 inf + 4065 101.883 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 101.883 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 101.883 * * * * [progress]: [ 176 / 458 ] simplifiying candidate # 101.884 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 101.884 * * [simplify]: iters left: 6 (25 enodes) 101.895 * * [simplify]: iters left: 5 (108 enodes) 101.917 * * [simplify]: iters left: 4 (236 enodes) 101.994 * * [simplify]: Extracting #0: cost 1 inf + 0 101.994 * * [simplify]: Extracting #1: cost 4 inf + 0 101.994 * * [simplify]: Extracting #2: cost 8 inf + 0 101.994 * * [simplify]: Extracting #3: cost 32 inf + 0 101.994 * * [simplify]: Extracting #4: cost 96 inf + 1 101.994 * * [simplify]: Extracting #5: cost 124 inf + 250 101.995 * * [simplify]: Extracting #6: cost 126 inf + 3381 101.999 * * [simplify]: Extracting #7: cost 66 inf + 18784 102.008 * * [simplify]: Extracting #8: cost 19 inf + 29342 102.024 * * [simplify]: Extracting #9: cost 2 inf + 34647 102.040 * * [simplify]: Extracting #10: cost 0 inf + 35655 102.060 * * [simplify]: Extracting #11: cost 0 inf + 35615 102.077 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2)))) 102.077 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2)))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt 4)))) 102.078 * [simplify]: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt 4)) 102.078 * * [simplify]: iters left: 6 (13 enodes) 102.086 * * [simplify]: iters left: 5 (55 enodes) 102.105 * * [simplify]: iters left: 4 (71 enodes) 102.117 * * [simplify]: iters left: 3 (96 enodes) 102.132 * * [simplify]: Extracting #0: cost 1 inf + 0 102.132 * * [simplify]: Extracting #1: cost 4 inf + 0 102.132 * * [simplify]: Extracting #2: cost 5 inf + 1 102.133 * * [simplify]: Extracting #3: cost 10 inf + 1 102.133 * * [simplify]: Extracting #4: cost 16 inf + 2 102.133 * * [simplify]: Extracting #5: cost 17 inf + 126 102.133 * * [simplify]: Extracting #6: cost 18 inf + 249 102.133 * * [simplify]: Extracting #7: cost 18 inf + 250 102.133 * * [simplify]: Extracting #8: cost 12 inf + 744 102.134 * * [simplify]: Extracting #9: cost 4 inf + 2528 102.134 * * [simplify]: Extracting #10: cost 1 inf + 3258 102.135 * * [simplify]: Extracting #11: cost 0 inf + 3582 102.137 * [simplify]: Simplified to (* 2 (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) 102.137 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2)))) (* 2 (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))))) 102.137 * * * * [progress]: [ 177 / 458 ] simplifiying candidate # 102.138 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 102.138 * * [simplify]: iters left: 6 (22 enodes) 102.151 * * [simplify]: iters left: 5 (103 enodes) 102.176 * * [simplify]: iters left: 4 (263 enodes) 102.270 * * [simplify]: Extracting #0: cost 1 inf + 0 102.270 * * [simplify]: Extracting #1: cost 4 inf + 0 102.271 * * [simplify]: Extracting #2: cost 8 inf + 0 102.271 * * [simplify]: Extracting #3: cost 23 inf + 0 102.271 * * [simplify]: Extracting #4: cost 90 inf + 0 102.272 * * [simplify]: Extracting #5: cost 168 inf + 125 102.274 * * [simplify]: Extracting #6: cost 216 inf + 1695 102.281 * * [simplify]: Extracting #7: cost 156 inf + 22270 102.290 * * [simplify]: Extracting #8: cost 55 inf + 46106 102.299 * * [simplify]: Extracting #9: cost 38 inf + 51712 102.311 * * [simplify]: Extracting #10: cost 3 inf + 67275 102.339 * * [simplify]: Extracting #11: cost 0 inf + 68926 102.368 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 102.368 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 102.369 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 102.369 * * [simplify]: iters left: 6 (22 enodes) 102.384 * * [simplify]: iters left: 5 (107 enodes) 102.429 * * [simplify]: iters left: 4 (279 enodes) 102.553 * * [simplify]: Extracting #0: cost 1 inf + 0 102.553 * * [simplify]: Extracting #1: cost 4 inf + 0 102.553 * * [simplify]: Extracting #2: cost 8 inf + 0 102.553 * * [simplify]: Extracting #3: cost 44 inf + 0 102.554 * * [simplify]: Extracting #4: cost 86 inf + 2 102.554 * * [simplify]: Extracting #5: cost 103 inf + 414 102.555 * * [simplify]: Extracting #6: cost 100 inf + 2893 102.562 * * [simplify]: Extracting #7: cost 49 inf + 16502 102.580 * * [simplify]: Extracting #8: cost 5 inf + 28514 102.604 * * [simplify]: Extracting #9: cost 0 inf + 30531 102.615 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)))) 102.615 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)))))) 102.616 * * * * [progress]: [ 178 / 458 ] simplifiying candidate # 102.616 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 102.616 * * [simplify]: iters left: 6 (25 enodes) 102.625 * * [simplify]: iters left: 5 (114 enodes) 102.650 * * [simplify]: iters left: 4 (275 enodes) 102.759 * * [simplify]: Extracting #0: cost 1 inf + 0 102.759 * * [simplify]: Extracting #1: cost 4 inf + 0 102.759 * * [simplify]: Extracting #2: cost 8 inf + 0 102.759 * * [simplify]: Extracting #3: cost 25 inf + 0 102.760 * * [simplify]: Extracting #4: cost 84 inf + 0 102.760 * * [simplify]: Extracting #5: cost 147 inf + 84 102.761 * * [simplify]: Extracting #6: cost 195 inf + 3076 102.766 * * [simplify]: Extracting #7: cost 128 inf + 29591 102.774 * * [simplify]: Extracting #8: cost 31 inf + 47664 102.794 * * [simplify]: Extracting #9: cost 3 inf + 57177 102.816 * * [simplify]: Extracting #10: cost 0 inf + 58910 102.829 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 102.829 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 102.829 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 102.829 * * [simplify]: iters left: 6 (23 enodes) 102.838 * * [simplify]: iters left: 5 (111 enodes) 102.872 * * [simplify]: iters left: 4 (271 enodes) 103.000 * * [simplify]: iters left: 3 (482 enodes) 103.173 * * [simplify]: Extracting #0: cost 1 inf + 0 103.174 * * [simplify]: Extracting #1: cost 4 inf + 0 103.174 * * [simplify]: Extracting #2: cost 8 inf + 0 103.174 * * [simplify]: Extracting #3: cost 26 inf + 0 103.174 * * [simplify]: Extracting #4: cost 55 inf + 2 103.174 * * [simplify]: Extracting #5: cost 63 inf + 2150 103.176 * * [simplify]: Extracting #6: cost 47 inf + 7210 103.178 * * [simplify]: Extracting #7: cost 34 inf + 9207 103.182 * * [simplify]: Extracting #8: cost 12 inf + 13169 103.193 * * [simplify]: Extracting #9: cost 2 inf + 16444 103.205 * * [simplify]: Extracting #10: cost 0 inf + 17492 103.217 * [simplify]: Simplified to (* (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4))) (sqrt (* (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))) (+ 1 (* v v))))) 103.217 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4))) (sqrt (* (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))) (+ 1 (* v v))))))) 103.217 * * * * [progress]: [ 179 / 458 ] simplifiying candidate # 103.218 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 103.218 * * [simplify]: iters left: 6 (23 enodes) 103.235 * * [simplify]: iters left: 5 (102 enodes) 103.256 * * [simplify]: iters left: 4 (241 enodes) 103.346 * * [simplify]: Extracting #0: cost 1 inf + 0 103.346 * * [simplify]: Extracting #1: cost 4 inf + 0 103.346 * * [simplify]: Extracting #2: cost 8 inf + 0 103.346 * * [simplify]: Extracting #3: cost 23 inf + 0 103.346 * * [simplify]: Extracting #4: cost 90 inf + 0 103.347 * * [simplify]: Extracting #5: cost 169 inf + 43 103.347 * * [simplify]: Extracting #6: cost 190 inf + 784 103.354 * * [simplify]: Extracting #7: cost 111 inf + 19295 103.368 * * [simplify]: Extracting #8: cost 26 inf + 42151 103.387 * * [simplify]: Extracting #9: cost 2 inf + 52147 103.407 * * [simplify]: Extracting #10: cost 0 inf + 53396 103.427 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) 103.427 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 103.428 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 103.428 * * [simplify]: iters left: 6 (19 enodes) 103.441 * * [simplify]: iters left: 5 (83 enodes) 103.461 * * [simplify]: iters left: 4 (185 enodes) 103.530 * * [simplify]: iters left: 3 (465 enodes) 103.776 * * [simplify]: Extracting #0: cost 1 inf + 0 103.776 * * [simplify]: Extracting #1: cost 4 inf + 0 103.776 * * [simplify]: Extracting #2: cost 8 inf + 0 103.776 * * [simplify]: Extracting #3: cost 35 inf + 0 103.777 * * [simplify]: Extracting #4: cost 98 inf + 2 103.777 * * [simplify]: Extracting #5: cost 127 inf + 2463 103.781 * * [simplify]: Extracting #6: cost 55 inf + 18631 103.789 * * [simplify]: Extracting #7: cost 6 inf + 27300 103.797 * * [simplify]: Extracting #8: cost 0 inf + 28206 103.805 * * [simplify]: Extracting #9: cost 0 inf + 27706 103.820 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (+ 4 (* 4 (* v v)))) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (+ 4 (* 4 (* v v)))) 4)))) 103.820 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) (* (sqrt (+ (* (* v v) (+ 4 (* 4 (* v v)))) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (+ 4 (* 4 (* v v)))) 4)))))) 103.820 * * * * [progress]: [ 180 / 458 ] simplifiying candidate # 103.821 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 103.821 * * [simplify]: iters left: 6 (25 enodes) 103.837 * * [simplify]: iters left: 5 (113 enodes) 103.883 * * [simplify]: iters left: 4 (253 enodes) 103.949 * * [simplify]: Extracting #0: cost 1 inf + 0 103.949 * * [simplify]: Extracting #1: cost 4 inf + 0 103.949 * * [simplify]: Extracting #2: cost 8 inf + 0 103.949 * * [simplify]: Extracting #3: cost 25 inf + 0 103.949 * * [simplify]: Extracting #4: cost 84 inf + 0 103.949 * * [simplify]: Extracting #5: cost 148 inf + 125 103.950 * * [simplify]: Extracting #6: cost 166 inf + 1484 103.953 * * [simplify]: Extracting #7: cost 94 inf + 21953 103.962 * * [simplify]: Extracting #8: cost 32 inf + 33697 103.969 * * [simplify]: Extracting #9: cost 10 inf + 40294 103.978 * * [simplify]: Extracting #10: cost 0 inf + 44014 103.992 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) 103.992 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 103.993 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 103.993 * * [simplify]: iters left: 6 (20 enodes) 104.004 * * [simplify]: iters left: 5 (87 enodes) 104.034 * * [simplify]: iters left: 4 (175 enodes) 104.084 * * [simplify]: iters left: 3 (296 enodes) 104.162 * * [simplify]: iters left: 2 (388 enodes) 104.240 * * [simplify]: iters left: 1 (471 enodes) 104.345 * * [simplify]: Extracting #0: cost 1 inf + 0 104.345 * * [simplify]: Extracting #1: cost 4 inf + 0 104.345 * * [simplify]: Extracting #2: cost 8 inf + 0 104.346 * * [simplify]: Extracting #3: cost 23 inf + 0 104.346 * * [simplify]: Extracting #4: cost 54 inf + 2 104.346 * * [simplify]: Extracting #5: cost 79 inf + 1507 104.348 * * [simplify]: Extracting #6: cost 46 inf + 7682 104.351 * * [simplify]: Extracting #7: cost 10 inf + 15002 104.354 * * [simplify]: Extracting #8: cost 2 inf + 16720 104.358 * * [simplify]: Extracting #9: cost 0 inf + 17496 104.363 * [simplify]: Simplified to (* (sqrt (* (* 4 (sqrt (+ (* 3 (* v v)) 1))) (+ 1 (* v v)))) (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) 104.363 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* (* 4 (sqrt (+ (* 3 (* v v)) 1))) (+ 1 (* v v)))) (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))))) 104.364 * * * * [progress]: [ 181 / 458 ] simplifiying candidate # 104.364 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 104.364 * * [simplify]: iters left: 6 (24 enodes) 104.373 * * [simplify]: iters left: 5 (111 enodes) 104.417 * * [simplify]: iters left: 4 (285 enodes) 104.536 * * [simplify]: Extracting #0: cost 1 inf + 0 104.537 * * [simplify]: Extracting #1: cost 4 inf + 0 104.537 * * [simplify]: Extracting #2: cost 8 inf + 0 104.537 * * [simplify]: Extracting #3: cost 32 inf + 0 104.537 * * [simplify]: Extracting #4: cost 114 inf + 1 104.538 * * [simplify]: Extracting #5: cost 189 inf + 167 104.541 * * [simplify]: Extracting #6: cost 227 inf + 6931 104.551 * * [simplify]: Extracting #7: cost 158 inf + 36054 104.571 * * [simplify]: Extracting #8: cost 16 inf + 75881 104.587 * * [simplify]: Extracting #9: cost 0 inf + 77856 104.608 * * [simplify]: Extracting #10: cost 0 inf + 77336 104.626 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) 104.626 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 104.627 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 104.627 * * [simplify]: iters left: 6 (21 enodes) 104.635 * * [simplify]: iters left: 5 (101 enodes) 104.665 * * [simplify]: iters left: 4 (245 enodes) 104.767 * * [simplify]: Extracting #0: cost 1 inf + 0 104.767 * * [simplify]: Extracting #1: cost 4 inf + 0 104.767 * * [simplify]: Extracting #2: cost 8 inf + 0 104.767 * * [simplify]: Extracting #3: cost 34 inf + 0 104.767 * * [simplify]: Extracting #4: cost 65 inf + 2 104.768 * * [simplify]: Extracting #5: cost 79 inf + 167 104.770 * * [simplify]: Extracting #6: cost 72 inf + 2972 104.774 * * [simplify]: Extracting #7: cost 36 inf + 10961 104.783 * * [simplify]: Extracting #8: cost 5 inf + 17839 104.795 * * [simplify]: Extracting #9: cost 2 inf + 19289 104.808 * * [simplify]: Extracting #10: cost 0 inf + 20336 104.818 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (+ (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* (* v v) (* v v)) (* v v)))))) 104.818 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (+ (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (* (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)) (+ (* (* v v) (* v v)) (* v v)))))))) 104.818 * * * * [progress]: [ 182 / 458 ] simplifiying candidate # 104.818 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 104.818 * * [simplify]: iters left: 6 (27 enodes) 104.827 * * [simplify]: iters left: 5 (122 enodes) 104.868 * * [simplify]: iters left: 4 (295 enodes) 104.997 * * [simplify]: Extracting #0: cost 1 inf + 0 104.997 * * [simplify]: Extracting #1: cost 4 inf + 0 104.997 * * [simplify]: Extracting #2: cost 8 inf + 0 104.997 * * [simplify]: Extracting #3: cost 34 inf + 0 104.998 * * [simplify]: Extracting #4: cost 105 inf + 1 104.999 * * [simplify]: Extracting #5: cost 167 inf + 126 105.001 * * [simplify]: Extracting #6: cost 212 inf + 2372 105.010 * * [simplify]: Extracting #7: cost 144 inf + 24529 105.028 * * [simplify]: Extracting #8: cost 38 inf + 50016 105.052 * * [simplify]: Extracting #9: cost 6 inf + 61952 105.078 * * [simplify]: Extracting #10: cost 0 inf + 65499 105.109 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 105.109 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 105.110 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 105.110 * * [simplify]: iters left: 6 (22 enodes) 105.121 * * [simplify]: iters left: 5 (105 enodes) 105.146 * * [simplify]: iters left: 4 (239 enodes) 105.261 * * [simplify]: iters left: 3 (420 enodes) 105.395 * * [simplify]: Extracting #0: cost 1 inf + 0 105.395 * * [simplify]: Extracting #1: cost 4 inf + 0 105.395 * * [simplify]: Extracting #2: cost 8 inf + 0 105.395 * * [simplify]: Extracting #3: cost 21 inf + 0 105.395 * * [simplify]: Extracting #4: cost 46 inf + 2 105.395 * * [simplify]: Extracting #5: cost 57 inf + 1499 105.397 * * [simplify]: Extracting #6: cost 48 inf + 6038 105.401 * * [simplify]: Extracting #7: cost 31 inf + 8134 105.406 * * [simplify]: Extracting #8: cost 9 inf + 11831 105.414 * * [simplify]: Extracting #9: cost 0 inf + 14576 105.423 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4))) 105.423 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4))))) 105.424 * * * * [progress]: [ 183 / 458 ] simplifiying candidate # 105.424 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 105.424 * * [simplify]: iters left: 6 (25 enodes) 105.439 * * [simplify]: iters left: 5 (110 enodes) 105.473 * * [simplify]: iters left: 4 (263 enodes) 105.553 * * [simplify]: Extracting #0: cost 1 inf + 0 105.553 * * [simplify]: Extracting #1: cost 4 inf + 0 105.553 * * [simplify]: Extracting #2: cost 8 inf + 0 105.553 * * [simplify]: Extracting #3: cost 30 inf + 0 105.554 * * [simplify]: Extracting #4: cost 109 inf + 1 105.555 * * [simplify]: Extracting #5: cost 186 inf + 126 105.557 * * [simplify]: Extracting #6: cost 177 inf + 8971 105.569 * * [simplify]: Extracting #7: cost 82 inf + 35307 105.590 * * [simplify]: Extracting #8: cost 7 inf + 57379 105.610 * * [simplify]: Extracting #9: cost 0 inf + 60010 105.626 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 105.626 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 105.626 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 105.626 * * [simplify]: iters left: 6 (18 enodes) 105.633 * * [simplify]: iters left: 5 (77 enodes) 105.653 * * [simplify]: iters left: 4 (151 enodes) 105.715 * * [simplify]: iters left: 3 (328 enodes) 105.814 * * [simplify]: iters left: 2 (466 enodes) 105.921 * * [simplify]: Extracting #0: cost 1 inf + 0 105.921 * * [simplify]: Extracting #1: cost 4 inf + 0 105.921 * * [simplify]: Extracting #2: cost 8 inf + 0 105.921 * * [simplify]: Extracting #3: cost 24 inf + 0 105.921 * * [simplify]: Extracting #4: cost 66 inf + 2 105.922 * * [simplify]: Extracting #5: cost 77 inf + 1647 105.923 * * [simplify]: Extracting #6: cost 48 inf + 5780 105.926 * * [simplify]: Extracting #7: cost 19 inf + 11886 105.930 * * [simplify]: Extracting #8: cost 1 inf + 17078 105.935 * * [simplify]: Extracting #9: cost 0 inf + 17321 105.940 * [simplify]: Simplified to (* (sqrt (+ (sqrt (+ (* 3 (* v v)) 1)) (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* v v) (* (* v v) (* v v)))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))) 105.940 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (+ (sqrt (+ (* 3 (* v v)) 1)) (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* v v) (* (* v v) (* v v)))))) (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4))))) 105.940 * * * * [progress]: [ 184 / 458 ] simplifiying candidate # 105.940 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 105.940 * * [simplify]: iters left: 6 (27 enodes) 105.949 * * [simplify]: iters left: 5 (121 enodes) 105.990 * * [simplify]: iters left: 4 (273 enodes) 106.071 * * [simplify]: Extracting #0: cost 1 inf + 0 106.071 * * [simplify]: Extracting #1: cost 4 inf + 0 106.071 * * [simplify]: Extracting #2: cost 8 inf + 0 106.071 * * [simplify]: Extracting #3: cost 34 inf + 0 106.072 * * [simplify]: Extracting #4: cost 108 inf + 1 106.072 * * [simplify]: Extracting #5: cost 170 inf + 167 106.073 * * [simplify]: Extracting #6: cost 184 inf + 2339 106.077 * * [simplify]: Extracting #7: cost 103 inf + 23114 106.084 * * [simplify]: Extracting #8: cost 38 inf + 37071 106.093 * * [simplify]: Extracting #9: cost 8 inf + 47481 106.104 * * [simplify]: Extracting #10: cost 0 inf + 50318 106.115 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))))) 106.115 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 106.115 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 106.115 * * [simplify]: iters left: 6 (19 enodes) 106.123 * * [simplify]: iters left: 5 (81 enodes) 106.145 * * [simplify]: iters left: 4 (145 enodes) 106.189 * * [simplify]: iters left: 3 (251 enodes) 106.256 * * [simplify]: iters left: 2 (329 enodes) 106.367 * * [simplify]: iters left: 1 (407 enodes) 106.501 * * [simplify]: Extracting #0: cost 1 inf + 0 106.501 * * [simplify]: Extracting #1: cost 4 inf + 0 106.501 * * [simplify]: Extracting #2: cost 8 inf + 0 106.501 * * [simplify]: Extracting #3: cost 21 inf + 0 106.501 * * [simplify]: Extracting #4: cost 48 inf + 2 106.502 * * [simplify]: Extracting #5: cost 70 inf + 1541 106.505 * * [simplify]: Extracting #6: cost 43 inf + 6341 106.509 * * [simplify]: Extracting #7: cost 17 inf + 11313 106.515 * * [simplify]: Extracting #8: cost 3 inf + 14109 106.521 * * [simplify]: Extracting #9: cost 0 inf + 15440 106.527 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ 1 (* v v))))) 106.527 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (/ 4 (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))))) (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ 1 (* v v))))))) 106.528 * * * * [progress]: [ 185 / 458 ] simplifiying candidate # 106.528 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 106.528 * * [simplify]: iters left: 6 (16 enodes) 106.535 * * [simplify]: iters left: 5 (68 enodes) 106.550 * * [simplify]: iters left: 4 (153 enodes) 106.608 * * [simplify]: iters left: 3 (379 enodes) 106.792 * * [simplify]: Extracting #0: cost 1 inf + 0 106.792 * * [simplify]: Extracting #1: cost 19 inf + 0 106.792 * * [simplify]: Extracting #2: cost 144 inf + 1 106.793 * * [simplify]: Extracting #3: cost 311 inf + 410 106.798 * * [simplify]: Extracting #4: cost 205 inf + 26619 106.825 * * [simplify]: Extracting #5: cost 36 inf + 87611 106.845 * * [simplify]: Extracting #6: cost 0 inf + 103867 106.879 * [simplify]: Simplified to (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) 106.879 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 106.880 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 106.880 * * [simplify]: iters left: 6 (12 enodes) 106.888 * * [simplify]: iters left: 5 (45 enodes) 106.905 * * [simplify]: iters left: 4 (91 enodes) 106.938 * * [simplify]: iters left: 3 (183 enodes) 106.989 * * [simplify]: iters left: 2 (253 enodes) 107.060 * * [simplify]: iters left: 1 (310 enodes) 107.132 * * [simplify]: Extracting #0: cost 1 inf + 0 107.132 * * [simplify]: Extracting #1: cost 11 inf + 0 107.132 * * [simplify]: Extracting #2: cost 33 inf + 2 107.132 * * [simplify]: Extracting #3: cost 58 inf + 467 107.133 * * [simplify]: Extracting #4: cost 45 inf + 3440 107.134 * * [simplify]: Extracting #5: cost 19 inf + 7691 107.136 * * [simplify]: Extracting #6: cost 0 inf + 11504 107.138 * * [simplify]: Extracting #7: cost 0 inf + 11164 107.141 * [simplify]: Simplified to (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4) 107.141 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))) (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4))) 107.141 * * * * [progress]: [ 186 / 458 ] simplifiying candidate # 107.141 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 107.142 * * [simplify]: iters left: 6 (21 enodes) 107.149 * * [simplify]: iters left: 5 (91 enodes) 107.170 * * [simplify]: iters left: 4 (190 enodes) 107.235 * * [simplify]: iters left: 3 (451 enodes) 107.528 * * [simplify]: Extracting #0: cost 1 inf + 0 107.528 * * [simplify]: Extracting #1: cost 4 inf + 0 107.528 * * [simplify]: Extracting #2: cost 8 inf + 0 107.529 * * [simplify]: Extracting #3: cost 36 inf + 0 107.529 * * [simplify]: Extracting #4: cost 167 inf + 1 107.531 * * [simplify]: Extracting #5: cost 322 inf + 126 107.538 * * [simplify]: Extracting #6: cost 242 inf + 20512 107.563 * * [simplify]: Extracting #7: cost 64 inf + 80402 107.584 * * [simplify]: Extracting #8: cost 0 inf + 108508 107.623 * * [simplify]: Extracting #9: cost 0 inf + 108348 107.647 * [simplify]: Simplified to (* (sqrt (* (- (sqrt (- 1 (* 3 (* v v)))) (* (* (sqrt (- 1 (* 3 (* v v)))) (* (* v v) (* v v))) (* v v))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) 107.647 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- (sqrt (- 1 (* 3 (* v v)))) (* (* (sqrt (- 1 (* 3 (* v v)))) (* (* v v) (* v v))) (* v v))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 107.647 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 107.647 * * [simplify]: iters left: 6 (15 enodes) 107.653 * * [simplify]: iters left: 5 (65 enodes) 107.671 * * [simplify]: iters left: 4 (121 enodes) 107.709 * * [simplify]: iters left: 3 (198 enodes) 107.746 * * [simplify]: iters left: 2 (254 enodes) 107.812 * * [simplify]: iters left: 1 (313 enodes) 107.885 * * [simplify]: Extracting #0: cost 1 inf + 0 107.885 * * [simplify]: Extracting #1: cost 4 inf + 0 107.885 * * [simplify]: Extracting #2: cost 8 inf + 0 107.885 * * [simplify]: Extracting #3: cost 18 inf + 0 107.886 * * [simplify]: Extracting #4: cost 38 inf + 2 107.886 * * [simplify]: Extracting #5: cost 62 inf + 257 107.887 * * [simplify]: Extracting #6: cost 38 inf + 5094 107.891 * * [simplify]: Extracting #7: cost 11 inf + 10773 107.898 * * [simplify]: Extracting #8: cost 1 inf + 12336 107.903 * * [simplify]: Extracting #9: cost 0 inf + 12373 107.908 * * [simplify]: Extracting #10: cost 0 inf + 12372 107.912 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (+ (* v (* v 4)) 4))) 107.913 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- (sqrt (- 1 (* 3 (* v v)))) (* (* (sqrt (- 1 (* 3 (* v v)))) (* (* v v) (* v v))) (* v v))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (+ (* v (* v 4)) 4))))) 107.913 * * * * [progress]: [ 187 / 458 ] simplifiying candidate # 107.913 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 107.914 * * [simplify]: iters left: 6 (21 enodes) 107.927 * * [simplify]: iters left: 5 (90 enodes) 107.959 * * [simplify]: iters left: 4 (190 enodes) 108.014 * * [simplify]: Extracting #0: cost 1 inf + 0 108.014 * * [simplify]: Extracting #1: cost 4 inf + 0 108.014 * * [simplify]: Extracting #2: cost 8 inf + 0 108.015 * * [simplify]: Extracting #3: cost 29 inf + 0 108.015 * * [simplify]: Extracting #4: cost 100 inf + 1 108.015 * * [simplify]: Extracting #5: cost 154 inf + 208 108.016 * * [simplify]: Extracting #6: cost 151 inf + 1401 108.017 * * [simplify]: Extracting #7: cost 103 inf + 9510 108.023 * * [simplify]: Extracting #8: cost 17 inf + 37566 108.035 * * [simplify]: Extracting #9: cost 1 inf + 44153 108.047 * * [simplify]: Extracting #10: cost 0 inf + 44638 108.056 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) 108.056 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 108.056 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 108.056 * * [simplify]: iters left: 6 (13 enodes) 108.061 * * [simplify]: iters left: 5 (51 enodes) 108.071 * * [simplify]: iters left: 4 (96 enodes) 108.106 * * [simplify]: iters left: 3 (190 enodes) 108.165 * * [simplify]: iters left: 2 (264 enodes) 108.229 * * [simplify]: iters left: 1 (329 enodes) 108.308 * * [simplify]: Extracting #0: cost 1 inf + 0 108.308 * * [simplify]: Extracting #1: cost 4 inf + 0 108.308 * * [simplify]: Extracting #2: cost 8 inf + 0 108.308 * * [simplify]: Extracting #3: cost 22 inf + 0 108.308 * * [simplify]: Extracting #4: cost 48 inf + 2 108.309 * * [simplify]: Extracting #5: cost 58 inf + 2884 108.310 * * [simplify]: Extracting #6: cost 28 inf + 8052 108.312 * * [simplify]: Extracting #7: cost 10 inf + 10038 108.315 * * [simplify]: Extracting #8: cost 0 inf + 13276 108.317 * [simplify]: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) 108.317 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))))) 108.317 * * * * [progress]: [ 188 / 458 ] simplifiying candidate # 108.318 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 108.318 * * [simplify]: iters left: 6 (24 enodes) 108.326 * * [simplify]: iters left: 5 (102 enodes) 108.351 * * [simplify]: iters left: 4 (213 enodes) 108.444 * * [simplify]: Extracting #0: cost 1 inf + 0 108.444 * * [simplify]: Extracting #1: cost 4 inf + 0 108.444 * * [simplify]: Extracting #2: cost 8 inf + 0 108.444 * * [simplify]: Extracting #3: cost 33 inf + 0 108.444 * * [simplify]: Extracting #4: cost 102 inf + 1 108.445 * * [simplify]: Extracting #5: cost 154 inf + 126 108.445 * * [simplify]: Extracting #6: cost 148 inf + 1804 108.449 * * [simplify]: Extracting #7: cost 49 inf + 28940 108.457 * * [simplify]: Extracting #8: cost 6 inf + 39712 108.465 * * [simplify]: Extracting #9: cost 0 inf + 41638 108.473 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) 4)))) 108.473 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) 4)))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))))) 108.473 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) 108.473 * * [simplify]: iters left: 6 (14 enodes) 108.481 * * [simplify]: iters left: 5 (55 enodes) 108.500 * * [simplify]: iters left: 4 (97 enodes) 108.540 * * [simplify]: iters left: 3 (183 enodes) 108.596 * * [simplify]: iters left: 2 (260 enodes) 108.661 * * [simplify]: iters left: 1 (331 enodes) 108.771 * * [simplify]: Extracting #0: cost 1 inf + 0 108.771 * * [simplify]: Extracting #1: cost 4 inf + 0 108.771 * * [simplify]: Extracting #2: cost 8 inf + 0 108.771 * * [simplify]: Extracting #3: cost 19 inf + 0 108.771 * * [simplify]: Extracting #4: cost 41 inf + 2 108.772 * * [simplify]: Extracting #5: cost 66 inf + 257 108.772 * * [simplify]: Extracting #6: cost 43 inf + 5110 108.774 * * [simplify]: Extracting #7: cost 5 inf + 13488 108.776 * * [simplify]: Extracting #8: cost 0 inf + 12892 108.779 * * [simplify]: Extracting #9: cost 0 inf + 12678 108.781 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ (+ (* (* v v) (* v v)) (* v v)) 1)))) 108.781 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) 4)))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ (+ (* (* v v) (* v v)) (* v v)) 1)))))) 108.781 * * * * [progress]: [ 189 / 458 ] simplifiying candidate # 108.781 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 108.782 * * [simplify]: iters left: 6 (23 enodes) 108.791 * * [simplify]: iters left: 5 (108 enodes) 108.829 * * [simplify]: iters left: 4 (274 enodes) 108.933 * * [simplify]: Extracting #0: cost 1 inf + 0 108.933 * * [simplify]: Extracting #1: cost 4 inf + 0 108.933 * * [simplify]: Extracting #2: cost 8 inf + 0 108.933 * * [simplify]: Extracting #3: cost 23 inf + 0 108.934 * * [simplify]: Extracting #4: cost 84 inf + 0 108.934 * * [simplify]: Extracting #5: cost 145 inf + 370 108.935 * * [simplify]: Extracting #6: cost 180 inf + 4311 108.941 * * [simplify]: Extracting #7: cost 93 inf + 34358 108.954 * * [simplify]: Extracting #8: cost 19 inf + 52277 108.976 * * [simplify]: Extracting #9: cost 1 inf + 58238 108.989 * * [simplify]: Extracting #10: cost 0 inf + 58481 109.005 * [simplify]: Simplified to (* (sqrt (* (sqrt 2) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v)))))))) 109.005 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt 2) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v)))))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 109.006 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 109.006 * * [simplify]: iters left: 6 (21 enodes) 109.015 * * [simplify]: iters left: 5 (95 enodes) 109.043 * * [simplify]: iters left: 4 (217 enodes) 109.100 * * [simplify]: iters left: 3 (395 enodes) 109.234 * * [simplify]: Extracting #0: cost 1 inf + 0 109.234 * * [simplify]: Extracting #1: cost 4 inf + 0 109.234 * * [simplify]: Extracting #2: cost 8 inf + 0 109.234 * * [simplify]: Extracting #3: cost 18 inf + 0 109.234 * * [simplify]: Extracting #4: cost 43 inf + 1 109.235 * * [simplify]: Extracting #5: cost 58 inf + 340 109.237 * * [simplify]: Extracting #6: cost 56 inf + 4540 109.241 * * [simplify]: Extracting #7: cost 34 inf + 8080 109.247 * * [simplify]: Extracting #8: cost 5 inf + 11478 109.255 * * [simplify]: Extracting #9: cost 1 inf + 12810 109.266 * * [simplify]: Extracting #10: cost 0 inf + 13374 109.273 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))))) 109.273 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt 2) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v)))))))) (* (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) (sqrt (* 4 (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1))))))) 109.274 * * * * [progress]: [ 190 / 458 ] simplifiying candidate # 109.274 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 109.275 * * [simplify]: iters left: 6 (24 enodes) 109.290 * * [simplify]: iters left: 5 (107 enodes) 109.331 * * [simplify]: iters left: 4 (252 enodes) 109.447 * * [simplify]: Extracting #0: cost 1 inf + 0 109.447 * * [simplify]: Extracting #1: cost 4 inf + 0 109.447 * * [simplify]: Extracting #2: cost 8 inf + 0 109.447 * * [simplify]: Extracting #3: cost 25 inf + 0 109.448 * * [simplify]: Extracting #4: cost 86 inf + 0 109.448 * * [simplify]: Extracting #5: cost 148 inf + 450 109.451 * * [simplify]: Extracting #6: cost 137 inf + 7320 109.458 * * [simplify]: Extracting #7: cost 64 inf + 27562 109.464 * * [simplify]: Extracting #8: cost 31 inf + 33568 109.471 * * [simplify]: Extracting #9: cost 8 inf + 41010 109.485 * * [simplify]: Extracting #10: cost 0 inf + 44042 109.500 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) 109.500 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 109.500 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 109.501 * * [simplify]: iters left: 6 (18 enodes) 109.507 * * [simplify]: iters left: 5 (71 enodes) 109.524 * * [simplify]: iters left: 4 (123 enodes) 109.553 * * [simplify]: iters left: 3 (222 enodes) 109.607 * * [simplify]: iters left: 2 (297 enodes) 109.674 * * [simplify]: iters left: 1 (369 enodes) 109.786 * * [simplify]: Extracting #0: cost 1 inf + 0 109.786 * * [simplify]: Extracting #1: cost 4 inf + 0 109.786 * * [simplify]: Extracting #2: cost 8 inf + 0 109.786 * * [simplify]: Extracting #3: cost 19 inf + 0 109.786 * * [simplify]: Extracting #4: cost 44 inf + 2 109.787 * * [simplify]: Extracting #5: cost 72 inf + 719 109.787 * * [simplify]: Extracting #6: cost 50 inf + 5325 109.789 * * [simplify]: Extracting #7: cost 18 inf + 10581 109.792 * * [simplify]: Extracting #8: cost 0 inf + 14396 109.794 * * [simplify]: Extracting #9: cost 0 inf + 14392 109.797 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) 109.797 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (* 4 (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))))))) 109.797 * * * * [progress]: [ 191 / 458 ] simplifiying candidate # 109.798 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 109.798 * * [simplify]: iters left: 6 (25 enodes) 109.807 * * [simplify]: iters left: 5 (116 enodes) 109.856 * * [simplify]: iters left: 4 (294 enodes) 109.990 * * [simplify]: Extracting #0: cost 1 inf + 0 109.991 * * [simplify]: Extracting #1: cost 4 inf + 0 109.991 * * [simplify]: Extracting #2: cost 8 inf + 0 109.991 * * [simplify]: Extracting #3: cost 34 inf + 0 109.991 * * [simplify]: Extracting #4: cost 107 inf + 1 109.992 * * [simplify]: Extracting #5: cost 169 inf + 250 109.995 * * [simplify]: Extracting #6: cost 195 inf + 6359 110.009 * * [simplify]: Extracting #7: cost 151 inf + 24621 110.026 * * [simplify]: Extracting #8: cost 34 inf + 53709 110.039 * * [simplify]: Extracting #9: cost 3 inf + 64657 110.052 * * [simplify]: Extracting #10: cost 0 inf + 66351 110.072 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) 110.072 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 110.073 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 110.073 * * [simplify]: iters left: 6 (20 enodes) 110.082 * * [simplify]: iters left: 5 (91 enodes) 110.102 * * [simplify]: iters left: 4 (213 enodes) 110.202 * * [simplify]: iters left: 3 (390 enodes) 110.362 * * [simplify]: Extracting #0: cost 1 inf + 0 110.362 * * [simplify]: Extracting #1: cost 4 inf + 0 110.362 * * [simplify]: Extracting #2: cost 8 inf + 0 110.363 * * [simplify]: Extracting #3: cost 18 inf + 0 110.363 * * [simplify]: Extracting #4: cost 47 inf + 1 110.364 * * [simplify]: Extracting #5: cost 72 inf + 998 110.367 * * [simplify]: Extracting #6: cost 42 inf + 6081 110.372 * * [simplify]: Extracting #7: cost 8 inf + 10541 110.379 * * [simplify]: Extracting #8: cost 1 inf + 12076 110.387 * * [simplify]: Extracting #9: cost 0 inf + 12640 110.393 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* v (* v 3)) (+ 1 (* v (* v 3)))) 1))) (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) 110.393 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (sqrt (+ (* (* v (* v 3)) (+ 1 (* v (* v 3)))) 1))) (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))))) 110.393 * * * * [progress]: [ 192 / 458 ] simplifiying candidate # 110.393 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 110.393 * * [simplify]: iters left: 6 (26 enodes) 110.402 * * [simplify]: iters left: 5 (115 enodes) 110.431 * * [simplify]: iters left: 4 (272 enodes) 110.514 * * [simplify]: Extracting #0: cost 1 inf + 0 110.514 * * [simplify]: Extracting #1: cost 4 inf + 0 110.515 * * [simplify]: Extracting #2: cost 8 inf + 0 110.515 * * [simplify]: Extracting #3: cost 34 inf + 0 110.515 * * [simplify]: Extracting #4: cost 107 inf + 1 110.516 * * [simplify]: Extracting #5: cost 169 inf + 411 110.519 * * [simplify]: Extracting #6: cost 155 inf + 6912 110.528 * * [simplify]: Extracting #7: cost 74 inf + 29493 110.547 * * [simplify]: Extracting #8: cost 16 inf + 43900 110.557 * * [simplify]: Extracting #9: cost 0 inf + 49854 110.567 * [simplify]: Simplified to (* (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (+ (* -9 (* (* v v) (* v v))) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) 110.567 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (+ (* -9 (* (* v v) (* v v))) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 110.567 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 110.567 * * [simplify]: iters left: 6 (17 enodes) 110.573 * * [simplify]: iters left: 5 (67 enodes) 110.596 * * [simplify]: iters left: 4 (119 enodes) 110.640 * * [simplify]: iters left: 3 (219 enodes) 110.699 * * [simplify]: iters left: 2 (297 enodes) 111.138 * * [simplify]: iters left: 1 (368 enodes) 111.237 * * [simplify]: Extracting #0: cost 1 inf + 0 111.237 * * [simplify]: Extracting #1: cost 4 inf + 0 111.237 * * [simplify]: Extracting #2: cost 8 inf + 0 111.238 * * [simplify]: Extracting #3: cost 19 inf + 0 111.238 * * [simplify]: Extracting #4: cost 42 inf + 2 111.238 * * [simplify]: Extracting #5: cost 69 inf + 468 111.240 * * [simplify]: Extracting #6: cost 55 inf + 3695 111.242 * * [simplify]: Extracting #7: cost 21 inf + 9590 111.247 * * [simplify]: Extracting #8: cost 5 inf + 12059 111.251 * * [simplify]: Extracting #9: cost 0 inf + 13358 111.256 * [simplify]: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (sqrt (+ (* v (* v 3)) 1)))) 111.256 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (+ (* -9 (* (* v v) (* v v))) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (sqrt (+ (* v (* v 3)) 1)))))) 111.256 * * * * [progress]: [ 193 / 458 ] simplifiying candidate # 111.256 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 111.257 * * [simplify]: iters left: 6 (19 enodes) 111.268 * * [simplify]: iters left: 5 (85 enodes) 111.297 * * [simplify]: iters left: 4 (189 enodes) 111.352 * * [simplify]: iters left: 3 (468 enodes) 111.640 * * [simplify]: Extracting #0: cost 1 inf + 0 111.640 * * [simplify]: Extracting #1: cost 4 inf + 0 111.640 * * [simplify]: Extracting #2: cost 8 inf + 0 111.640 * * [simplify]: Extracting #3: cost 34 inf + 0 111.641 * * [simplify]: Extracting #4: cost 174 inf + 1 111.642 * * [simplify]: Extracting #5: cost 347 inf + 329 111.649 * * [simplify]: Extracting #6: cost 262 inf + 18908 111.676 * * [simplify]: Extracting #7: cost 68 inf + 84141 111.714 * * [simplify]: Extracting #8: cost 2 inf + 113551 111.753 * * [simplify]: Extracting #9: cost 0 inf + 114597 111.794 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) 111.794 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)))) 111.795 * [simplify]: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) 111.795 * * [simplify]: iters left: 6 (13 enodes) 111.803 * * [simplify]: iters left: 5 (52 enodes) 111.820 * * [simplify]: iters left: 4 (97 enodes) 111.842 * * [simplify]: iters left: 3 (190 enodes) 111.878 * * [simplify]: iters left: 2 (257 enodes) 111.946 * * [simplify]: iters left: 1 (322 enodes) 112.012 * * [simplify]: Extracting #0: cost 1 inf + 0 112.012 * * [simplify]: Extracting #1: cost 4 inf + 0 112.012 * * [simplify]: Extracting #2: cost 5 inf + 1 112.012 * * [simplify]: Extracting #3: cost 14 inf + 1 112.013 * * [simplify]: Extracting #4: cost 35 inf + 3 112.013 * * [simplify]: Extracting #5: cost 60 inf + 469 112.013 * * [simplify]: Extracting #6: cost 45 inf + 3004 112.015 * * [simplify]: Extracting #7: cost 19 inf + 7475 112.017 * * [simplify]: Extracting #8: cost 4 inf + 10386 112.020 * * [simplify]: Extracting #9: cost 0 inf + 11730 112.024 * [simplify]: Simplified to (* (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4))) 2) 112.024 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4))) 2))) 112.024 * * * * [progress]: [ 194 / 458 ] simplifiying candidate # 112.024 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 112.025 * * [simplify]: iters left: 6 (25 enodes) 112.041 * * [simplify]: iters left: 5 (114 enodes) 112.086 * * [simplify]: iters left: 4 (275 enodes) 112.211 * * [simplify]: Extracting #0: cost 1 inf + 0 112.211 * * [simplify]: Extracting #1: cost 4 inf + 0 112.211 * * [simplify]: Extracting #2: cost 8 inf + 0 112.211 * * [simplify]: Extracting #3: cost 25 inf + 0 112.212 * * [simplify]: Extracting #4: cost 84 inf + 0 112.213 * * [simplify]: Extracting #5: cost 148 inf + 125 112.214 * * [simplify]: Extracting #6: cost 198 inf + 2199 112.222 * * [simplify]: Extracting #7: cost 138 inf + 21871 112.239 * * [simplify]: Extracting #8: cost 25 inf + 53840 112.257 * * [simplify]: Extracting #9: cost 0 inf + 63728 112.273 * * [simplify]: Extracting #10: cost 0 inf + 61108 112.291 * * [simplify]: Extracting #11: cost 0 inf + 60988 112.315 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* v v) (* (* v v) (* v v)))))))) 112.315 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 112.315 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 112.315 * * [simplify]: iters left: 6 (23 enodes) 112.324 * * [simplify]: iters left: 5 (112 enodes) 112.353 * * [simplify]: iters left: 4 (276 enodes) 112.470 * * [simplify]: Extracting #0: cost 1 inf + 0 112.470 * * [simplify]: Extracting #1: cost 4 inf + 0 112.470 * * [simplify]: Extracting #2: cost 8 inf + 0 112.470 * * [simplify]: Extracting #3: cost 29 inf + 0 112.471 * * [simplify]: Extracting #4: cost 66 inf + 2 112.472 * * [simplify]: Extracting #5: cost 83 inf + 332 112.473 * * [simplify]: Extracting #6: cost 79 inf + 2853 112.477 * * [simplify]: Extracting #7: cost 71 inf + 5169 112.487 * * [simplify]: Extracting #8: cost 29 inf + 13438 112.502 * * [simplify]: Extracting #9: cost 1 inf + 23900 112.519 * * [simplify]: Extracting #10: cost 0 inf + 24584 112.529 * [simplify]: Simplified to (* (sqrt (+ 4 (* v (* 4 v)))) (sqrt (* (* 4 (sqrt (+ (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))) 1))) (+ (* v v) (+ 1 (* (* v v) (* v v))))))) 112.530 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* (* v v) (* (* v v) (* v v)))))))) (* (sqrt (+ 4 (* v (* 4 v)))) (sqrt (* (* 4 (sqrt (+ (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))) 1))) (+ (* v v) (+ 1 (* (* v v) (* v v))))))))) 112.530 * * * * [progress]: [ 195 / 458 ] simplifiying candidate # 112.530 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 112.530 * * [simplify]: iters left: 6 (23 enodes) 112.538 * * [simplify]: iters left: 5 (101 enodes) 112.559 * * [simplify]: iters left: 4 (242 enodes) 112.639 * * [simplify]: Extracting #0: cost 1 inf + 0 112.639 * * [simplify]: Extracting #1: cost 4 inf + 0 112.639 * * [simplify]: Extracting #2: cost 8 inf + 0 112.639 * * [simplify]: Extracting #3: cost 21 inf + 0 112.639 * * [simplify]: Extracting #4: cost 70 inf + 0 112.639 * * [simplify]: Extracting #5: cost 103 inf + 207 112.640 * * [simplify]: Extracting #6: cost 138 inf + 3255 112.644 * * [simplify]: Extracting #7: cost 105 inf + 21582 112.652 * * [simplify]: Extracting #8: cost 22 inf + 38469 112.661 * * [simplify]: Extracting #9: cost 0 inf + 46095 112.674 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) 112.674 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 112.675 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 112.675 * * [simplify]: iters left: 6 (19 enodes) 112.685 * * [simplify]: iters left: 5 (95 enodes) 112.719 * * [simplify]: iters left: 4 (219 enodes) 112.788 * * [simplify]: iters left: 3 (355 enodes) 112.896 * * [simplify]: iters left: 2 (484 enodes) 113.041 * * [simplify]: Extracting #0: cost 1 inf + 0 113.041 * * [simplify]: Extracting #1: cost 4 inf + 0 113.041 * * [simplify]: Extracting #2: cost 8 inf + 0 113.041 * * [simplify]: Extracting #3: cost 18 inf + 0 113.041 * * [simplify]: Extracting #4: cost 29 inf + 2 113.042 * * [simplify]: Extracting #5: cost 33 inf + 495 113.042 * * [simplify]: Extracting #6: cost 48 inf + 1068 113.043 * * [simplify]: Extracting #7: cost 62 inf + 1436 113.044 * * [simplify]: Extracting #8: cost 27 inf + 7460 113.048 * * [simplify]: Extracting #9: cost 3 inf + 13895 113.053 * * [simplify]: Extracting #10: cost 1 inf + 14462 113.057 * * [simplify]: Extracting #11: cost 0 inf + 14986 113.064 * [simplify]: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (sqrt (+ (* (+ (* (* v v) (* v 3)) v) (* v 3)) 1)) (+ 4 (* (* v v) 4))))) 113.064 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (sqrt (+ (* (+ (* (* v v) (* v 3)) v) (* v 3)) 1)) (+ 4 (* (* v v) 4))))))) 113.064 * * * * [progress]: [ 196 / 458 ] simplifiying candidate # 113.065 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 113.065 * * [simplify]: iters left: 6 (25 enodes) 113.080 * * [simplify]: iters left: 5 (113 enodes) 113.109 * * [simplify]: iters left: 4 (253 enodes) 113.193 * * [simplify]: Extracting #0: cost 1 inf + 0 113.193 * * [simplify]: Extracting #1: cost 4 inf + 0 113.193 * * [simplify]: Extracting #2: cost 8 inf + 0 113.193 * * [simplify]: Extracting #3: cost 25 inf + 0 113.193 * * [simplify]: Extracting #4: cost 84 inf + 0 113.194 * * [simplify]: Extracting #5: cost 148 inf + 125 113.195 * * [simplify]: Extracting #6: cost 174 inf + 417 113.199 * * [simplify]: Extracting #7: cost 125 inf + 9999 113.213 * * [simplify]: Extracting #8: cost 48 inf + 26845 113.228 * * [simplify]: Extracting #9: cost 4 inf + 43720 113.242 * * [simplify]: Extracting #10: cost 0 inf + 45574 113.251 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v))))))) 113.251 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 113.252 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 113.252 * * [simplify]: iters left: 6 (20 enodes) 113.259 * * [simplify]: iters left: 5 (88 enodes) 113.285 * * [simplify]: iters left: 4 (188 enodes) 113.375 * * [simplify]: iters left: 3 (406 enodes) 113.550 * * [simplify]: Extracting #0: cost 1 inf + 0 113.550 * * [simplify]: Extracting #1: cost 4 inf + 0 113.550 * * [simplify]: Extracting #2: cost 8 inf + 0 113.550 * * [simplify]: Extracting #3: cost 33 inf + 0 113.550 * * [simplify]: Extracting #4: cost 71 inf + 2 113.552 * * [simplify]: Extracting #5: cost 103 inf + 1842 113.554 * * [simplify]: Extracting #6: cost 72 inf + 6910 113.559 * * [simplify]: Extracting #7: cost 54 inf + 7679 113.567 * * [simplify]: Extracting #8: cost 19 inf + 16808 113.578 * * [simplify]: Extracting #9: cost 1 inf + 22551 113.585 * * [simplify]: Extracting #10: cost 0 inf + 23115 113.592 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (+ 4 (* 4 (* v v))))) 113.592 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 4 (* (+ (* (* v v) (* v v)) (* v v)) 4)))) (sqrt (+ 4 (* 4 (* v v))))))) 113.592 * * * * [progress]: [ 197 / 458 ] simplifiying candidate # 113.593 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 113.593 * * [simplify]: iters left: 6 (22 enodes) 113.602 * * [simplify]: iters left: 5 (95 enodes) 113.621 * * [simplify]: iters left: 4 (205 enodes) 113.668 * * [simplify]: iters left: 3 (471 enodes) 113.918 * * [simplify]: Extracting #0: cost 1 inf + 0 113.918 * * [simplify]: Extracting #1: cost 4 inf + 0 113.918 * * [simplify]: Extracting #2: cost 8 inf + 0 113.918 * * [simplify]: Extracting #3: cost 28 inf + 0 113.919 * * [simplify]: Extracting #4: cost 119 inf + 1 113.919 * * [simplify]: Extracting #5: cost 205 inf + 451 113.922 * * [simplify]: Extracting #6: cost 168 inf + 10972 113.931 * * [simplify]: Extracting #7: cost 84 inf + 35242 113.946 * * [simplify]: Extracting #8: cost 7 inf + 57149 113.969 * * [simplify]: Extracting #9: cost 0 inf + 59745 113.987 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 113.987 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 113.988 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 113.988 * * [simplify]: iters left: 6 (15 enodes) 113.993 * * [simplify]: iters left: 5 (70 enodes) 114.006 * * [simplify]: iters left: 4 (116 enodes) 114.028 * * [simplify]: iters left: 3 (168 enodes) 114.059 * * [simplify]: iters left: 2 (207 enodes) 114.091 * * [simplify]: iters left: 1 (208 enodes) 114.111 * * [simplify]: Extracting #0: cost 1 inf + 0 114.111 * * [simplify]: Extracting #1: cost 4 inf + 0 114.111 * * [simplify]: Extracting #2: cost 8 inf + 0 114.111 * * [simplify]: Extracting #3: cost 18 inf + 0 114.111 * * [simplify]: Extracting #4: cost 29 inf + 2 114.111 * * [simplify]: Extracting #5: cost 30 inf + 373 114.112 * * [simplify]: Extracting #6: cost 26 inf + 1068 114.113 * * [simplify]: Extracting #7: cost 22 inf + 1395 114.114 * * [simplify]: Extracting #8: cost 7 inf + 4525 114.118 * * [simplify]: Extracting #9: cost 1 inf + 6508 114.121 * * [simplify]: Extracting #10: cost 0 inf + 6752 114.125 * [simplify]: Simplified to (* (sqrt (* (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))) 4)) (sqrt (+ (* (* v v) 4) 4))) 114.125 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))) 4)) (sqrt (+ (* (* v v) 4) 4))))) 114.126 * * * * [progress]: [ 198 / 458 ] simplifiying candidate # 114.126 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 114.126 * * [simplify]: iters left: 6 (27 enodes) 114.143 * * [simplify]: iters left: 5 (122 enodes) 114.177 * * [simplify]: iters left: 4 (295 enodes) 114.297 * * [simplify]: Extracting #0: cost 1 inf + 0 114.297 * * [simplify]: Extracting #1: cost 4 inf + 0 114.297 * * [simplify]: Extracting #2: cost 8 inf + 0 114.298 * * [simplify]: Extracting #3: cost 34 inf + 0 114.298 * * [simplify]: Extracting #4: cost 105 inf + 1 114.299 * * [simplify]: Extracting #5: cost 167 inf + 126 114.301 * * [simplify]: Extracting #6: cost 220 inf + 1909 114.306 * * [simplify]: Extracting #7: cost 179 inf + 16163 114.326 * * [simplify]: Extracting #8: cost 59 inf + 43854 114.339 * * [simplify]: Extracting #9: cost 5 inf + 64150 114.352 * * [simplify]: Extracting #10: cost 0 inf + 66764 114.368 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (/ (- 1 (* (* v v) (* (* v v) (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27)))))))) 114.368 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (/ (- 1 (* (* v v) (* (* v v) (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27)))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 114.369 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 114.369 * * [simplify]: iters left: 6 (22 enodes) 114.381 * * [simplify]: iters left: 5 (106 enodes) 114.403 * * [simplify]: iters left: 4 (240 enodes) 114.491 * * [simplify]: iters left: 3 (426 enodes) 114.625 * * [simplify]: Extracting #0: cost 1 inf + 0 114.625 * * [simplify]: Extracting #1: cost 4 inf + 0 114.625 * * [simplify]: Extracting #2: cost 8 inf + 0 114.625 * * [simplify]: Extracting #3: cost 21 inf + 0 114.625 * * [simplify]: Extracting #4: cost 45 inf + 2 114.626 * * [simplify]: Extracting #5: cost 57 inf + 462 114.627 * * [simplify]: Extracting #6: cost 68 inf + 1773 114.629 * * [simplify]: Extracting #7: cost 55 inf + 4254 114.634 * * [simplify]: Extracting #8: cost 25 inf + 9635 114.644 * * [simplify]: Extracting #9: cost 1 inf + 17227 114.650 * * [simplify]: Extracting #10: cost 0 inf + 17832 114.656 * [simplify]: Simplified to (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))) 1)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))) 114.656 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (/ (- 1 (* (* v v) (* (* v v) (* v v)))) (/ 4 (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27)))))))) (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))) 1)) (+ (+ 1 (* v v)) (* (* v v) (* v v)))))))) 114.657 * * * * [progress]: [ 199 / 458 ] simplifiying candidate # 114.657 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 114.657 * * [simplify]: iters left: 6 (25 enodes) 114.666 * * [simplify]: iters left: 5 (109 enodes) 114.705 * * [simplify]: iters left: 4 (264 enodes) 114.823 * * [simplify]: Extracting #0: cost 1 inf + 0 114.823 * * [simplify]: Extracting #1: cost 4 inf + 0 114.823 * * [simplify]: Extracting #2: cost 8 inf + 0 114.823 * * [simplify]: Extracting #3: cost 32 inf + 0 114.824 * * [simplify]: Extracting #4: cost 93 inf + 1 114.824 * * [simplify]: Extracting #5: cost 122 inf + 495 114.826 * * [simplify]: Extracting #6: cost 160 inf + 3667 114.833 * * [simplify]: Extracting #7: cost 138 inf + 18129 114.851 * * [simplify]: Extracting #8: cost 36 inf + 41087 114.874 * * [simplify]: Extracting #9: cost 2 inf + 53219 114.898 * * [simplify]: Extracting #10: cost 0 inf + 53518 114.914 * * [simplify]: Extracting #11: cost 0 inf + 53478 114.929 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) 114.929 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 114.929 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 114.929 * * [simplify]: iters left: 6 (18 enodes) 114.937 * * [simplify]: iters left: 5 (89 enodes) 114.963 * * [simplify]: iters left: 4 (193 enodes) 115.022 * * [simplify]: iters left: 3 (304 enodes) 115.142 * * [simplify]: iters left: 2 (390 enodes) 115.257 * * [simplify]: iters left: 1 (444 enodes) 115.379 * * [simplify]: Extracting #0: cost 1 inf + 0 115.379 * * [simplify]: Extracting #1: cost 4 inf + 0 115.379 * * [simplify]: Extracting #2: cost 8 inf + 0 115.379 * * [simplify]: Extracting #3: cost 18 inf + 0 115.379 * * [simplify]: Extracting #4: cost 25 inf + 2 115.379 * * [simplify]: Extracting #5: cost 27 inf + 454 115.380 * * [simplify]: Extracting #6: cost 47 inf + 1149 115.381 * * [simplify]: Extracting #7: cost 79 inf + 1475 115.382 * * [simplify]: Extracting #8: cost 40 inf + 8059 115.385 * * [simplify]: Extracting #9: cost 3 inf + 17544 115.389 * * [simplify]: Extracting #10: cost 0 inf + 18085 115.393 * * [simplify]: Extracting #11: cost 0 inf + 18044 115.397 * [simplify]: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (sqrt (+ (* (* (* v 3) v) (+ (* (* v 3) v) 1)) 1)) (+ 1 (* v v))))) 115.397 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (sqrt (+ (* (* (* v 3) v) (+ (* (* v 3) v) 1)) 1)) (+ 1 (* v v))))))) 115.397 * * * * [progress]: [ 200 / 458 ] simplifiying candidate # 115.397 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 115.399 * * [simplify]: iters left: 6 (27 enodes) 115.410 * * [simplify]: iters left: 5 (121 enodes) 115.441 * * [simplify]: iters left: 4 (273 enodes) 115.533 * * [simplify]: Extracting #0: cost 1 inf + 0 115.533 * * [simplify]: Extracting #1: cost 4 inf + 0 115.533 * * [simplify]: Extracting #2: cost 8 inf + 0 115.534 * * [simplify]: Extracting #3: cost 34 inf + 0 115.534 * * [simplify]: Extracting #4: cost 108 inf + 1 115.534 * * [simplify]: Extracting #5: cost 170 inf + 167 115.535 * * [simplify]: Extracting #6: cost 187 inf + 2196 115.537 * * [simplify]: Extracting #7: cost 137 inf + 12579 115.543 * * [simplify]: Extracting #8: cost 60 inf + 30049 115.555 * * [simplify]: Extracting #9: cost 4 inf + 50551 115.576 * * [simplify]: Extracting #10: cost 0 inf + 53130 115.587 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) 115.587 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 115.588 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 115.588 * * [simplify]: iters left: 6 (19 enodes) 115.594 * * [simplify]: iters left: 5 (81 enodes) 115.616 * * [simplify]: iters left: 4 (145 enodes) 115.651 * * [simplify]: iters left: 3 (262 enodes) 115.729 * * [simplify]: iters left: 2 (344 enodes) 115.822 * * [simplify]: iters left: 1 (415 enodes) 115.938 * * [simplify]: Extracting #0: cost 1 inf + 0 115.938 * * [simplify]: Extracting #1: cost 4 inf + 0 115.938 * * [simplify]: Extracting #2: cost 8 inf + 0 115.938 * * [simplify]: Extracting #3: cost 21 inf + 0 115.938 * * [simplify]: Extracting #4: cost 47 inf + 2 115.939 * * [simplify]: Extracting #5: cost 70 inf + 1673 115.941 * * [simplify]: Extracting #6: cost 59 inf + 2625 115.943 * * [simplify]: Extracting #7: cost 48 inf + 4170 115.947 * * [simplify]: Extracting #8: cost 16 inf + 13092 115.954 * * [simplify]: Extracting #9: cost 3 inf + 17315 115.962 * * [simplify]: Extracting #10: cost 0 inf + 18806 115.970 * [simplify]: Simplified to (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (+ (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* 3 (* v v)))))))) 115.970 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (* (- 1 (* (* v (* v v)) (* v (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))) (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (+ (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* 3 (* v v)))))))))) 115.971 * * * * [progress]: [ 201 / 458 ] simplifiying candidate # 115.971 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 115.972 * * [simplify]: iters left: 6 (24 enodes) 115.986 * * [simplify]: iters left: 5 (103 enodes) 116.029 * * [simplify]: iters left: 4 (227 enodes) 116.101 * * [simplify]: Extracting #0: cost 1 inf + 0 116.101 * * [simplify]: Extracting #1: cost 4 inf + 0 116.101 * * [simplify]: Extracting #2: cost 8 inf + 0 116.101 * * [simplify]: Extracting #3: cost 32 inf + 0 116.101 * * [simplify]: Extracting #4: cost 96 inf + 1 116.102 * * [simplify]: Extracting #5: cost 128 inf + 209 116.103 * * [simplify]: Extracting #6: cost 126 inf + 3990 116.106 * * [simplify]: Extracting #7: cost 72 inf + 16576 116.115 * * [simplify]: Extracting #8: cost 33 inf + 25978 116.131 * * [simplify]: Extracting #9: cost 1 inf + 37395 116.140 * * [simplify]: Extracting #10: cost 0 inf + 37161 116.148 * * [simplify]: Extracting #11: cost 0 inf + 37121 116.156 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) 116.157 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 116.157 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 116.157 * * [simplify]: iters left: 6 (14 enodes) 116.162 * * [simplify]: iters left: 5 (64 enodes) 116.182 * * [simplify]: iters left: 4 (90 enodes) 116.208 * * [simplify]: iters left: 3 (119 enodes) 116.228 * * [simplify]: Extracting #0: cost 1 inf + 0 116.228 * * [simplify]: Extracting #1: cost 4 inf + 0 116.228 * * [simplify]: Extracting #2: cost 8 inf + 0 116.228 * * [simplify]: Extracting #3: cost 16 inf + 0 116.228 * * [simplify]: Extracting #4: cost 23 inf + 2 116.228 * * [simplify]: Extracting #5: cost 22 inf + 373 116.229 * * [simplify]: Extracting #6: cost 18 inf + 1068 116.229 * * [simplify]: Extracting #7: cost 14 inf + 1395 116.230 * * [simplify]: Extracting #8: cost 5 inf + 3262 116.231 * * [simplify]: Extracting #9: cost 0 inf + 4638 116.232 * [simplify]: Simplified to (* (sqrt (+ (* (sqrt (+ 1 (* (* v v) 3))) (* v v)) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) 4) 4))) 116.232 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))))) (* (sqrt (+ (* (sqrt (+ 1 (* (* v v) 3))) (* v v)) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) 4) 4))))) 116.232 * * * * [progress]: [ 202 / 458 ] simplifiying candidate # 116.232 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 116.233 * * [simplify]: iters left: 6 (21 enodes) 116.243 * * [simplify]: iters left: 5 (91 enodes) 116.277 * * [simplify]: iters left: 4 (190 enodes) 116.363 * * [simplify]: iters left: 3 (443 enodes) 116.708 * * [simplify]: Extracting #0: cost 1 inf + 0 116.708 * * [simplify]: Extracting #1: cost 4 inf + 0 116.708 * * [simplify]: Extracting #2: cost 8 inf + 0 116.708 * * [simplify]: Extracting #3: cost 33 inf + 0 116.709 * * [simplify]: Extracting #4: cost 164 inf + 1 116.711 * * [simplify]: Extracting #5: cost 314 inf + 328 116.719 * * [simplify]: Extracting #6: cost 227 inf + 21181 116.748 * * [simplify]: Extracting #7: cost 52 inf + 80224 116.784 * * [simplify]: Extracting #8: cost 9 inf + 101003 116.804 * * [simplify]: Extracting #9: cost 0 inf + 105141 116.845 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* v (* v v)) (* (* v (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))))) 116.845 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* v (* v v)) (* (* v (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 116.846 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 116.846 * * [simplify]: iters left: 6 (15 enodes) 116.856 * * [simplify]: iters left: 5 (63 enodes) 116.878 * * [simplify]: iters left: 4 (119 enodes) 116.899 * * [simplify]: iters left: 3 (197 enodes) 116.967 * * [simplify]: iters left: 2 (265 enodes) 117.058 * * [simplify]: iters left: 1 (338 enodes) 117.135 * * [simplify]: Extracting #0: cost 1 inf + 0 117.135 * * [simplify]: Extracting #1: cost 4 inf + 0 117.136 * * [simplify]: Extracting #2: cost 8 inf + 0 117.136 * * [simplify]: Extracting #3: cost 18 inf + 0 117.136 * * [simplify]: Extracting #4: cost 41 inf + 2 117.137 * * [simplify]: Extracting #5: cost 67 inf + 665 117.138 * * [simplify]: Extracting #6: cost 48 inf + 3706 117.142 * * [simplify]: Extracting #7: cost 8 inf + 13468 117.146 * * [simplify]: Extracting #8: cost 0 inf + 13939 117.151 * * [simplify]: Extracting #9: cost 0 inf + 13778 117.156 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (+ (* v (* 4 v)) 4)) 4)) (sqrt (+ (* v (* 4 v)) 4))) 117.156 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* v (* v v)) (* (* v (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))))) (* (sqrt (+ (* (* v v) (+ (* v (* 4 v)) 4)) 4)) (sqrt (+ (* v (* 4 v)) 4))))) 117.157 * * * * [progress]: [ 203 / 458 ] simplifiying candidate # 117.157 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 117.157 * * [simplify]: iters left: 6 (16 enodes) 117.167 * * [simplify]: iters left: 5 (61 enodes) 117.188 * * [simplify]: iters left: 4 (117 enodes) 117.232 * * [simplify]: iters left: 3 (230 enodes) 117.326 * * [simplify]: Extracting #0: cost 1 inf + 0 117.326 * * [simplify]: Extracting #1: cost 20 inf + 0 117.326 * * [simplify]: Extracting #2: cost 78 inf + 1 117.327 * * [simplify]: Extracting #3: cost 126 inf + 328 117.328 * * [simplify]: Extracting #4: cost 76 inf + 8320 117.336 * * [simplify]: Extracting #5: cost 20 inf + 22242 117.343 * * [simplify]: Extracting #6: cost 1 inf + 27907 117.358 * * [simplify]: Extracting #7: cost 0 inf + 28271 117.373 * [simplify]: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) 117.373 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))))) 117.373 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) 117.373 * * [simplify]: iters left: 6 (8 enodes) 117.380 * * [simplify]: iters left: 5 (32 enodes) 117.390 * * [simplify]: iters left: 4 (45 enodes) 117.402 * * [simplify]: iters left: 3 (49 enodes) 117.413 * * [simplify]: Extracting #0: cost 1 inf + 0 117.413 * * [simplify]: Extracting #1: cost 6 inf + 0 117.414 * * [simplify]: Extracting #2: cost 12 inf + 1 117.414 * * [simplify]: Extracting #3: cost 10 inf + 86 117.414 * * [simplify]: Extracting #4: cost 2 inf + 741 117.414 * * [simplify]: Extracting #5: cost 0 inf + 1065 117.415 * [simplify]: Simplified to (+ (* (* v v) 4) 4) 117.415 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (+ (* (* v v) 4) 4))) 117.415 * * * * [progress]: [ 204 / 458 ] simplifiying candidate # 117.416 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 117.416 * * [simplify]: iters left: 6 (24 enodes) 117.429 * * [simplify]: iters left: 5 (102 enodes) 117.468 * * [simplify]: iters left: 4 (213 enodes) 117.537 * * [simplify]: Extracting #0: cost 1 inf + 0 117.537 * * [simplify]: Extracting #1: cost 4 inf + 0 117.537 * * [simplify]: Extracting #2: cost 8 inf + 0 117.537 * * [simplify]: Extracting #3: cost 33 inf + 0 117.538 * * [simplify]: Extracting #4: cost 104 inf + 1 117.539 * * [simplify]: Extracting #5: cost 157 inf + 44 117.540 * * [simplify]: Extracting #6: cost 150 inf + 1854 117.545 * * [simplify]: Extracting #7: cost 66 inf + 22417 117.558 * * [simplify]: Extracting #8: cost 2 inf + 42448 117.573 * * [simplify]: Extracting #9: cost 0 inf + 43618 117.590 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4)))) 117.590 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4)))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 117.590 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 117.590 * * [simplify]: iters left: 6 (14 enodes) 117.596 * * [simplify]: iters left: 5 (55 enodes) 117.606 * * [simplify]: iters left: 4 (90 enodes) 117.626 * * [simplify]: iters left: 3 (131 enodes) 117.648 * * [simplify]: iters left: 2 (161 enodes) 117.688 * * [simplify]: iters left: 1 (196 enodes) 117.718 * * [simplify]: Extracting #0: cost 1 inf + 0 117.718 * * [simplify]: Extracting #1: cost 4 inf + 0 117.718 * * [simplify]: Extracting #2: cost 8 inf + 0 117.718 * * [simplify]: Extracting #3: cost 18 inf + 0 117.718 * * [simplify]: Extracting #4: cost 33 inf + 2 117.719 * * [simplify]: Extracting #5: cost 44 inf + 714 117.720 * * [simplify]: Extracting #6: cost 17 inf + 5166 117.722 * * [simplify]: Extracting #7: cost 3 inf + 7652 117.725 * * [simplify]: Extracting #8: cost 0 inf + 8257 117.727 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (+ (* (* 4 v) v) 4))) 117.727 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* (* v v) (* v v))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4)))) (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (+ (* (* 4 v) v) 4))))) 117.728 * * * * [progress]: [ 205 / 458 ] simplifiying candidate # 117.728 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 117.728 * * [simplify]: iters left: 6 (21 enodes) 117.736 * * [simplify]: iters left: 5 (83 enodes) 117.752 * * [simplify]: iters left: 4 (154 enodes) 117.812 * * [simplify]: iters left: 3 (330 enodes) 118.005 * * [simplify]: Extracting #0: cost 1 inf + 0 118.005 * * [simplify]: Extracting #1: cost 4 inf + 0 118.005 * * [simplify]: Extracting #2: cost 8 inf + 0 118.005 * * [simplify]: Extracting #3: cost 40 inf + 0 118.006 * * [simplify]: Extracting #4: cost 161 inf + 2 118.008 * * [simplify]: Extracting #5: cost 223 inf + 413 118.015 * * [simplify]: Extracting #6: cost 146 inf + 16914 118.041 * * [simplify]: Extracting #7: cost 17 inf + 51936 118.074 * * [simplify]: Extracting #8: cost 0 inf + 56810 118.105 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) 118.105 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 118.106 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 118.106 * * [simplify]: iters left: 6 (9 enodes) 118.113 * * [simplify]: iters left: 5 (38 enodes) 118.124 * * [simplify]: iters left: 4 (50 enodes) 118.141 * * [simplify]: iters left: 3 (54 enodes) 118.154 * * [simplify]: Extracting #0: cost 1 inf + 0 118.154 * * [simplify]: Extracting #1: cost 4 inf + 0 118.154 * * [simplify]: Extracting #2: cost 8 inf + 0 118.154 * * [simplify]: Extracting #3: cost 14 inf + 0 118.155 * * [simplify]: Extracting #4: cost 16 inf + 2 118.155 * * [simplify]: Extracting #5: cost 13 inf + 168 118.155 * * [simplify]: Extracting #6: cost 6 inf + 741 118.156 * * [simplify]: Extracting #7: cost 0 inf + 1875 118.156 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (* (* v v) 4) 4))) 118.156 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ 1 (* v v))) (sqrt (+ (* (* v v) 4) 4))))) 118.157 * * * * [progress]: [ 206 / 458 ] simplifiying candidate # 118.157 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 118.158 * * [simplify]: iters left: 6 (24 enodes) 118.173 * * [simplify]: iters left: 5 (106 enodes) 118.214 * * [simplify]: iters left: 4 (253 enodes) 118.289 * * [simplify]: Extracting #0: cost 1 inf + 0 118.289 * * [simplify]: Extracting #1: cost 4 inf + 0 118.289 * * [simplify]: Extracting #2: cost 8 inf + 0 118.290 * * [simplify]: Extracting #3: cost 25 inf + 0 118.290 * * [simplify]: Extracting #4: cost 74 inf + 0 118.290 * * [simplify]: Extracting #5: cost 101 inf + 490 118.292 * * [simplify]: Extracting #6: cost 132 inf + 4104 118.299 * * [simplify]: Extracting #7: cost 116 inf + 17237 118.305 * * [simplify]: Extracting #8: cost 46 inf + 29818 118.314 * * [simplify]: Extracting #9: cost 9 inf + 41163 118.323 * * [simplify]: Extracting #10: cost 0 inf + 44407 118.335 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v)))))) 118.335 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 118.336 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 118.336 * * [simplify]: iters left: 6 (18 enodes) 118.348 * * [simplify]: iters left: 5 (83 enodes) 118.384 * * [simplify]: iters left: 4 (177 enodes) 118.460 * * [simplify]: iters left: 3 (273 enodes) 118.583 * * [simplify]: iters left: 2 (359 enodes) 118.695 * * [simplify]: iters left: 1 (410 enodes) 118.790 * * [simplify]: Extracting #0: cost 1 inf + 0 118.790 * * [simplify]: Extracting #1: cost 4 inf + 0 118.790 * * [simplify]: Extracting #2: cost 8 inf + 0 118.790 * * [simplify]: Extracting #3: cost 15 inf + 0 118.790 * * [simplify]: Extracting #4: cost 20 inf + 2 118.791 * * [simplify]: Extracting #5: cost 25 inf + 86 118.791 * * [simplify]: Extracting #6: cost 46 inf + 537 118.792 * * [simplify]: Extracting #7: cost 72 inf + 1151 118.795 * * [simplify]: Extracting #8: cost 40 inf + 6445 118.800 * * [simplify]: Extracting #9: cost 12 inf + 12334 118.807 * * [simplify]: Extracting #10: cost 0 inf + 15727 118.813 * * [simplify]: Extracting #11: cost 0 inf + 15686 118.819 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (sqrt (+ (* (+ (* (* v 3) v) 1) (* (* v 3) v)) 1))))) 118.819 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (sqrt (+ (* (+ (* (* v 3) v) 1) (* (* v 3) v)) 1))))))) 118.819 * * * * [progress]: [ 207 / 458 ] simplifiying candidate # 118.820 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 118.820 * * [simplify]: iters left: 6 (23 enodes) 118.834 * * [simplify]: iters left: 5 (100 enodes) 118.870 * * [simplify]: iters left: 4 (216 enodes) 118.932 * * [simplify]: iters left: 3 (472 enodes) 119.130 * * [simplify]: Extracting #0: cost 1 inf + 0 119.130 * * [simplify]: Extracting #1: cost 4 inf + 0 119.130 * * [simplify]: Extracting #2: cost 8 inf + 0 119.130 * * [simplify]: Extracting #3: cost 30 inf + 0 119.131 * * [simplify]: Extracting #4: cost 111 inf + 1 119.132 * * [simplify]: Extracting #5: cost 162 inf + 775 119.136 * * [simplify]: Extracting #6: cost 135 inf + 7051 119.149 * * [simplify]: Extracting #7: cost 61 inf + 27348 119.176 * * [simplify]: Extracting #8: cost 4 inf + 41216 119.189 * * [simplify]: Extracting #9: cost 0 inf + 42952 119.202 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* v v))))) 119.203 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 119.203 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 119.203 * * [simplify]: iters left: 6 (14 enodes) 119.208 * * [simplify]: iters left: 5 (58 enodes) 119.218 * * [simplify]: iters left: 4 (74 enodes) 119.228 * * [simplify]: iters left: 3 (78 enodes) 119.239 * * [simplify]: Extracting #0: cost 1 inf + 0 119.239 * * [simplify]: Extracting #1: cost 4 inf + 0 119.239 * * [simplify]: Extracting #2: cost 8 inf + 0 119.239 * * [simplify]: Extracting #3: cost 14 inf + 0 119.239 * * [simplify]: Extracting #4: cost 21 inf + 1 119.239 * * [simplify]: Extracting #5: cost 19 inf + 290 119.240 * * [simplify]: Extracting #6: cost 15 inf + 983 119.240 * * [simplify]: Extracting #7: cost 12 inf + 1271 119.241 * * [simplify]: Extracting #8: cost 3 inf + 2900 119.243 * * [simplify]: Extracting #9: cost 0 inf + 3590 119.244 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) 4) 4))) 119.244 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) 4) 4))))) 119.244 * * * * [progress]: [ 208 / 458 ] simplifiying candidate # 119.245 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 119.245 * * [simplify]: iters left: 6 (26 enodes) 119.263 * * [simplify]: iters left: 5 (114 enodes) 119.308 * * [simplify]: iters left: 4 (273 enodes) 119.429 * * [simplify]: Extracting #0: cost 1 inf + 0 119.429 * * [simplify]: Extracting #1: cost 4 inf + 0 119.429 * * [simplify]: Extracting #2: cost 8 inf + 0 119.429 * * [simplify]: Extracting #3: cost 32 inf + 0 119.429 * * [simplify]: Extracting #4: cost 93 inf + 1 119.430 * * [simplify]: Extracting #5: cost 120 inf + 290 119.432 * * [simplify]: Extracting #6: cost 143 inf + 5048 119.439 * * [simplify]: Extracting #7: cost 125 inf + 16973 119.450 * * [simplify]: Extracting #8: cost 45 inf + 32651 119.466 * * [simplify]: Extracting #9: cost 10 inf + 45064 119.480 * * [simplify]: Extracting #10: cost 0 inf + 49113 119.491 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (* (- 1 (* v v)) (sqrt 2)) 4))) (sqrt (* (sqrt 2) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v)))))))) 119.491 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (* (- 1 (* v v)) (sqrt 2)) 4))) (sqrt (* (sqrt 2) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 119.492 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 119.492 * * [simplify]: iters left: 6 (17 enodes) 119.502 * * [simplify]: iters left: 5 (79 enodes) 119.527 * * [simplify]: iters left: 4 (173 enodes) 119.580 * * [simplify]: iters left: 3 (268 enodes) 119.674 * * [simplify]: iters left: 2 (357 enodes) 119.768 * * [simplify]: iters left: 1 (404 enodes) 119.851 * * [simplify]: Extracting #0: cost 1 inf + 0 119.851 * * [simplify]: Extracting #1: cost 4 inf + 0 119.851 * * [simplify]: Extracting #2: cost 8 inf + 0 119.851 * * [simplify]: Extracting #3: cost 15 inf + 0 119.852 * * [simplify]: Extracting #4: cost 24 inf + 2 119.852 * * [simplify]: Extracting #5: cost 47 inf + 372 119.852 * * [simplify]: Extracting #6: cost 70 inf + 1475 119.854 * * [simplify]: Extracting #7: cost 40 inf + 6172 119.856 * * [simplify]: Extracting #8: cost 5 inf + 14028 119.860 * * [simplify]: Extracting #9: cost 0 inf + 15382 119.862 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (+ (* 3 (* v v)) 1) (* 3 (* v v))) 1))) (sqrt (+ 4 (* (* v v) 4)))) 119.862 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (* (- 1 (* v v)) (sqrt 2)) 4))) (sqrt (* (sqrt 2) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (sqrt (+ (* (+ (* 3 (* v v)) 1) (* 3 (* v v))) 1))) (sqrt (+ 4 (* (* v v) 4)))))) 119.863 * * * * [progress]: [ 209 / 458 ] simplifiying candidate # 119.863 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 119.863 * * [simplify]: iters left: 6 (25 enodes) 119.878 * * [simplify]: iters left: 5 (108 enodes) 119.918 * * [simplify]: iters left: 4 (236 enodes) 120.011 * * [simplify]: Extracting #0: cost 1 inf + 0 120.011 * * [simplify]: Extracting #1: cost 4 inf + 0 120.011 * * [simplify]: Extracting #2: cost 8 inf + 0 120.011 * * [simplify]: Extracting #3: cost 32 inf + 0 120.011 * * [simplify]: Extracting #4: cost 93 inf + 1 120.012 * * [simplify]: Extracting #5: cost 121 inf + 288 120.013 * * [simplify]: Extracting #6: cost 118 inf + 3867 120.016 * * [simplify]: Extracting #7: cost 61 inf + 16743 120.021 * * [simplify]: Extracting #8: cost 29 inf + 23078 120.028 * * [simplify]: Extracting #9: cost 2 inf + 31989 120.036 * * [simplify]: Extracting #10: cost 1 inf + 32755 120.046 * * [simplify]: Extracting #11: cost 0 inf + 33521 120.054 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (+ (* -9 (* (* v v) (* v v))) 1))))) 120.054 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (+ (* -9 (* (* v v) (* v v))) 1))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 120.054 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 120.054 * * [simplify]: iters left: 6 (13 enodes) 120.059 * * [simplify]: iters left: 5 (54 enodes) 120.068 * * [simplify]: iters left: 4 (70 enodes) 120.078 * * [simplify]: iters left: 3 (74 enodes) 120.087 * * [simplify]: Extracting #0: cost 1 inf + 0 120.088 * * [simplify]: Extracting #1: cost 4 inf + 0 120.088 * * [simplify]: Extracting #2: cost 8 inf + 0 120.088 * * [simplify]: Extracting #3: cost 14 inf + 0 120.088 * * [simplify]: Extracting #4: cost 21 inf + 1 120.088 * * [simplify]: Extracting #5: cost 22 inf + 86 120.088 * * [simplify]: Extracting #6: cost 9 inf + 1194 120.089 * * [simplify]: Extracting #7: cost 1 inf + 2656 120.089 * * [simplify]: Extracting #8: cost 0 inf + 3020 120.090 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 4 (* (* v v) 4)))) 120.090 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* 3 (* v v))))) (sqrt 2))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (+ (* -9 (* (* v v) (* v v))) 1))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ 4 (* (* v v) 4)))))) 120.090 * * * * [progress]: [ 210 / 458 ] simplifiying candidate # 120.090 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 120.090 * * [simplify]: iters left: 6 (19 enodes) 120.096 * * [simplify]: iters left: 5 (78 enodes) 120.121 * * [simplify]: iters left: 4 (153 enodes) 120.159 * * [simplify]: iters left: 3 (302 enodes) 120.272 * * [simplify]: Extracting #0: cost 1 inf + 0 120.272 * * [simplify]: Extracting #1: cost 4 inf + 0 120.272 * * [simplify]: Extracting #2: cost 8 inf + 0 120.272 * * [simplify]: Extracting #3: cost 33 inf + 0 120.273 * * [simplify]: Extracting #4: cost 103 inf + 1 120.274 * * [simplify]: Extracting #5: cost 153 inf + 330 120.277 * * [simplify]: Extracting #6: cost 93 inf + 9725 120.290 * * [simplify]: Extracting #7: cost 19 inf + 29120 120.309 * * [simplify]: Extracting #8: cost 0 inf + 35319 120.331 * [simplify]: Simplified to (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (* v v) (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) 120.331 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (* v v) (* v v)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt 4)))) 120.332 * [simplify]: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt 4)) 120.332 * * [simplify]: iters left: 6 (9 enodes) 120.336 * * [simplify]: iters left: 5 (39 enodes) 120.342 * * [simplify]: iters left: 4 (51 enodes) 120.350 * * [simplify]: iters left: 3 (55 enodes) 120.358 * * [simplify]: Extracting #0: cost 1 inf + 0 120.358 * * [simplify]: Extracting #1: cost 4 inf + 0 120.358 * * [simplify]: Extracting #2: cost 5 inf + 1 120.358 * * [simplify]: Extracting #3: cost 9 inf + 1 120.358 * * [simplify]: Extracting #4: cost 14 inf + 2 120.358 * * [simplify]: Extracting #5: cost 11 inf + 169 120.358 * * [simplify]: Extracting #6: cost 5 inf + 620 120.358 * * [simplify]: Extracting #7: cost 0 inf + 1472 120.359 * [simplify]: Simplified to (* 2 (sqrt (+ (* (* v v) 4) 4))) 120.359 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* 2 (sqrt (+ (* (* v v) 4) 4))))) 120.359 * * * * [progress]: [ 211 / 458 ] simplifiying candidate # 120.359 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 120.359 * * [simplify]: iters left: 6 (24 enodes) 120.370 * * [simplify]: iters left: 5 (111 enodes) 120.417 * * [simplify]: iters left: 4 (285 enodes) 120.547 * * [simplify]: Extracting #0: cost 1 inf + 0 120.547 * * [simplify]: Extracting #1: cost 4 inf + 0 120.547 * * [simplify]: Extracting #2: cost 8 inf + 0 120.547 * * [simplify]: Extracting #3: cost 30 inf + 0 120.547 * * [simplify]: Extracting #4: cost 112 inf + 1 120.548 * * [simplify]: Extracting #5: cost 185 inf + 495 120.553 * * [simplify]: Extracting #6: cost 211 inf + 10647 120.560 * * [simplify]: Extracting #7: cost 126 inf + 46108 120.584 * * [simplify]: Extracting #8: cost 6 inf + 79934 120.613 * * [simplify]: Extracting #9: cost 0 inf + 78175 120.628 * * [simplify]: Extracting #10: cost 0 inf + 75435 120.644 * * [simplify]: Extracting #11: cost 0 inf + 75316 120.672 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 120.672 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 120.673 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 120.673 * * [simplify]: iters left: 6 (21 enodes) 120.687 * * [simplify]: iters left: 5 (97 enodes) 120.729 * * [simplify]: iters left: 4 (253 enodes) 120.841 * * [simplify]: Extracting #0: cost 1 inf + 0 120.841 * * [simplify]: Extracting #1: cost 4 inf + 0 120.841 * * [simplify]: Extracting #2: cost 8 inf + 0 120.841 * * [simplify]: Extracting #3: cost 35 inf + 0 120.842 * * [simplify]: Extracting #4: cost 83 inf + 2 120.843 * * [simplify]: Extracting #5: cost 82 inf + 1751 120.845 * * [simplify]: Extracting #6: cost 84 inf + 3781 120.850 * * [simplify]: Extracting #7: cost 55 inf + 12083 120.858 * * [simplify]: Extracting #8: cost 7 inf + 25432 120.867 * * [simplify]: Extracting #9: cost 0 inf + 28099 120.876 * * [simplify]: Extracting #10: cost 0 inf + 28060 120.892 * [simplify]: Simplified to (* (sqrt (+ 1 (* (+ (* v v) 1) (* v v)))) (sqrt (* (* (+ 1 (* (+ (* v v) 1) (* v v))) (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) 4))) 120.892 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* (+ (* v v) 1) (* v v)))) (sqrt (* (* (+ 1 (* (+ (* v v) 1) (* v v))) (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) 4))))) 120.892 * * * * [progress]: [ 212 / 458 ] simplifiying candidate # 120.893 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 120.893 * * [simplify]: iters left: 6 (27 enodes) 120.913 * * [simplify]: iters left: 5 (122 enodes) 120.963 * * [simplify]: iters left: 4 (295 enodes) 121.068 * * [simplify]: Extracting #0: cost 1 inf + 0 121.068 * * [simplify]: Extracting #1: cost 4 inf + 0 121.068 * * [simplify]: Extracting #2: cost 8 inf + 0 121.068 * * [simplify]: Extracting #3: cost 34 inf + 0 121.069 * * [simplify]: Extracting #4: cost 105 inf + 1 121.070 * * [simplify]: Extracting #5: cost 166 inf + 208 121.071 * * [simplify]: Extracting #6: cost 219 inf + 2256 121.078 * * [simplify]: Extracting #7: cost 155 inf + 27464 121.098 * * [simplify]: Extracting #8: cost 24 inf + 56959 121.124 * * [simplify]: Extracting #9: cost 4 inf + 62783 121.149 * * [simplify]: Extracting #10: cost 0 inf + 65363 121.162 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* (* v v) v) (* (* v v) v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 121.162 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* (* v v) v) (* (* v v) v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 121.163 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 121.163 * * [simplify]: iters left: 6 (22 enodes) 121.171 * * [simplify]: iters left: 5 (101 enodes) 121.216 * * [simplify]: iters left: 4 (241 enodes) 121.279 * * [simplify]: iters left: 3 (403 enodes) 121.409 * * [simplify]: Extracting #0: cost 1 inf + 0 121.409 * * [simplify]: Extracting #1: cost 4 inf + 0 121.410 * * [simplify]: Extracting #2: cost 8 inf + 0 121.410 * * [simplify]: Extracting #3: cost 25 inf + 0 121.410 * * [simplify]: Extracting #4: cost 43 inf + 2 121.410 * * [simplify]: Extracting #5: cost 54 inf + 631 121.411 * * [simplify]: Extracting #6: cost 62 inf + 2629 121.414 * * [simplify]: Extracting #7: cost 34 inf + 7326 121.422 * * [simplify]: Extracting #8: cost 6 inf + 13096 121.432 * * [simplify]: Extracting #9: cost 1 inf + 14994 121.442 * * [simplify]: Extracting #10: cost 0 inf + 15598 121.452 * [simplify]: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 121.452 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 27 (* (* (* v v) v) (* (* v v) v))))) (- 1 (* (* v v) (* v v)))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 121.453 * * * * [progress]: [ 213 / 458 ] simplifiying candidate # 121.453 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 121.454 * * [simplify]: iters left: 6 (25 enodes) 121.463 * * [simplify]: iters left: 5 (110 enodes) 121.487 * * [simplify]: iters left: 4 (263 enodes) 121.575 * * [simplify]: Extracting #0: cost 1 inf + 0 121.575 * * [simplify]: Extracting #1: cost 4 inf + 0 121.575 * * [simplify]: Extracting #2: cost 8 inf + 0 121.575 * * [simplify]: Extracting #3: cost 30 inf + 0 121.575 * * [simplify]: Extracting #4: cost 109 inf + 1 121.576 * * [simplify]: Extracting #5: cost 184 inf + 290 121.577 * * [simplify]: Extracting #6: cost 183 inf + 7476 121.584 * * [simplify]: Extracting #7: cost 87 inf + 34388 121.594 * * [simplify]: Extracting #8: cost 13 inf + 53653 121.618 * * [simplify]: Extracting #9: cost 0 inf + 59530 121.630 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) 121.630 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 121.631 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 121.631 * * [simplify]: iters left: 6 (18 enodes) 121.637 * * [simplify]: iters left: 5 (73 enodes) 121.656 * * [simplify]: iters left: 4 (159 enodes) 121.711 * * [simplify]: iters left: 3 (418 enodes) 121.873 * * [simplify]: Extracting #0: cost 1 inf + 0 121.873 * * [simplify]: Extracting #1: cost 4 inf + 0 121.873 * * [simplify]: Extracting #2: cost 8 inf + 0 121.873 * * [simplify]: Extracting #3: cost 38 inf + 0 121.873 * * [simplify]: Extracting #4: cost 103 inf + 2 121.874 * * [simplify]: Extracting #5: cost 131 inf + 3970 121.876 * * [simplify]: Extracting #6: cost 77 inf + 13516 121.881 * * [simplify]: Extracting #7: cost 27 inf + 21710 121.889 * * [simplify]: Extracting #8: cost 0 inf + 29322 121.898 * [simplify]: Simplified to (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ 1 (+ (* v v) (* (* v v) (* v v))))))) 121.898 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ 1 (+ (* v v) (* (* v v) (* v v))))))))) 121.898 * * * * [progress]: [ 214 / 458 ] simplifiying candidate # 121.898 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 121.898 * * [simplify]: iters left: 6 (27 enodes) 121.910 * * [simplify]: iters left: 5 (121 enodes) 121.937 * * [simplify]: iters left: 4 (273 enodes) 122.015 * * [simplify]: Extracting #0: cost 1 inf + 0 122.015 * * [simplify]: Extracting #1: cost 4 inf + 0 122.015 * * [simplify]: Extracting #2: cost 8 inf + 0 122.015 * * [simplify]: Extracting #3: cost 34 inf + 0 122.015 * * [simplify]: Extracting #4: cost 108 inf + 1 122.016 * * [simplify]: Extracting #5: cost 167 inf + 495 122.017 * * [simplify]: Extracting #6: cost 194 inf + 916 122.019 * * [simplify]: Extracting #7: cost 122 inf + 19964 122.034 * * [simplify]: Extracting #8: cost 34 inf + 40427 122.050 * * [simplify]: Extracting #9: cost 8 inf + 48450 122.061 * * [simplify]: Extracting #10: cost 0 inf + 52523 122.071 * * [simplify]: Extracting #11: cost 0 inf + 52012 122.082 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) 122.082 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 122.082 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 122.083 * * [simplify]: iters left: 6 (19 enodes) 122.096 * * [simplify]: iters left: 5 (77 enodes) 122.120 * * [simplify]: iters left: 4 (149 enodes) 122.152 * * [simplify]: iters left: 3 (249 enodes) 122.220 * * [simplify]: iters left: 2 (329 enodes) 122.293 * * [simplify]: iters left: 1 (356 enodes) 122.338 * * [simplify]: Extracting #0: cost 1 inf + 0 122.338 * * [simplify]: Extracting #1: cost 4 inf + 0 122.338 * * [simplify]: Extracting #2: cost 8 inf + 0 122.338 * * [simplify]: Extracting #3: cost 22 inf + 0 122.338 * * [simplify]: Extracting #4: cost 46 inf + 2 122.339 * * [simplify]: Extracting #5: cost 57 inf + 1566 122.342 * * [simplify]: Extracting #6: cost 31 inf + 5217 122.346 * * [simplify]: Extracting #7: cost 5 inf + 11128 122.351 * * [simplify]: Extracting #8: cost 0 inf + 12813 122.356 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* v v) (+ (* v v) 1)))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* v v) 1)))) 122.356 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* (* v v) (+ (* v v) 1)))) (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* v v) 1)))))) 122.356 * * * * [progress]: [ 215 / 458 ] simplifiying candidate # 122.356 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 122.356 * * [simplify]: iters left: 6 (24 enodes) 122.367 * * [simplify]: iters left: 5 (113 enodes) 122.400 * * [simplify]: iters left: 4 (297 enodes) 122.562 * * [simplify]: Extracting #0: cost 1 inf + 0 122.562 * * [simplify]: Extracting #1: cost 4 inf + 0 122.562 * * [simplify]: Extracting #2: cost 8 inf + 0 122.562 * * [simplify]: Extracting #3: cost 35 inf + 0 122.563 * * [simplify]: Extracting #4: cost 124 inf + 1 122.564 * * [simplify]: Extracting #5: cost 200 inf + 208 122.568 * * [simplify]: Extracting #6: cost 222 inf + 11722 122.582 * * [simplify]: Extracting #7: cost 152 inf + 43537 122.611 * * [simplify]: Extracting #8: cost 9 inf + 86828 122.651 * * [simplify]: Extracting #9: cost 0 inf + 86842 122.685 * * [simplify]: Extracting #10: cost 0 inf + 82003 122.719 * * [simplify]: Extracting #11: cost 0 inf + 81084 122.752 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 122.752 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 122.753 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 122.753 * * [simplify]: iters left: 6 (19 enodes) 122.766 * * [simplify]: iters left: 5 (88 enodes) 122.805 * * [simplify]: iters left: 4 (210 enodes) 122.902 * * [simplify]: iters left: 3 (409 enodes) 123.056 * * [simplify]: Extracting #0: cost 1 inf + 0 123.056 * * [simplify]: Extracting #1: cost 4 inf + 0 123.056 * * [simplify]: Extracting #2: cost 8 inf + 0 123.056 * * [simplify]: Extracting #3: cost 23 inf + 0 123.056 * * [simplify]: Extracting #4: cost 46 inf + 1 123.056 * * [simplify]: Extracting #5: cost 55 inf + 44 123.057 * * [simplify]: Extracting #6: cost 63 inf + 1545 123.058 * * [simplify]: Extracting #7: cost 44 inf + 6501 123.066 * * [simplify]: Extracting #8: cost 9 inf + 14287 123.077 * * [simplify]: Extracting #9: cost 0 inf + 17024 123.087 * * [simplify]: Extracting #10: cost 0 inf + 16779 123.098 * [simplify]: Simplified to (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (+ (* 3 (* v v)) 1) (* 3 (* v v))) 1)) (+ 1 (+ (* v v) (* (* v v) (* v v))))))) 123.098 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (/ (sqrt 2) 4)) (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (+ (* 3 (* v v)) 1) (* 3 (* v v))) 1)) (+ 1 (+ (* v v) (* (* v v) (* v v))))))))) 123.098 * * * * [progress]: [ 216 / 458 ] simplifiying candidate # 123.099 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 123.099 * * [simplify]: iters left: 6 (27 enodes) 123.119 * * [simplify]: iters left: 5 (124 enodes) 123.147 * * [simplify]: iters left: 4 (309 enodes) 123.261 * * [simplify]: Extracting #0: cost 1 inf + 0 123.261 * * [simplify]: Extracting #1: cost 4 inf + 0 123.261 * * [simplify]: Extracting #2: cost 8 inf + 0 123.261 * * [simplify]: Extracting #3: cost 41 inf + 0 123.261 * * [simplify]: Extracting #4: cost 128 inf + 1 123.263 * * [simplify]: Extracting #5: cost 188 inf + 331 123.264 * * [simplify]: Extracting #6: cost 242 inf + 3116 123.273 * * [simplify]: Extracting #7: cost 162 inf + 32322 123.288 * * [simplify]: Extracting #8: cost 12 inf + 73274 123.311 * * [simplify]: Extracting #9: cost 0 inf + 74445 123.335 * * [simplify]: Extracting #10: cost 0 inf + 73557 123.354 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 123.354 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 123.354 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 123.355 * * [simplify]: iters left: 6 (20 enodes) 123.367 * * [simplify]: iters left: 5 (92 enodes) 123.389 * * [simplify]: iters left: 4 (204 enodes) 123.451 * * [simplify]: iters left: 3 (337 enodes) 123.567 * * [simplify]: iters left: 2 (416 enodes) 123.673 * * [simplify]: iters left: 1 (480 enodes) 123.785 * * [simplify]: Extracting #0: cost 1 inf + 0 123.785 * * [simplify]: Extracting #1: cost 4 inf + 0 123.785 * * [simplify]: Extracting #2: cost 8 inf + 0 123.785 * * [simplify]: Extracting #3: cost 18 inf + 0 123.785 * * [simplify]: Extracting #4: cost 34 inf + 1 123.786 * * [simplify]: Extracting #5: cost 46 inf + 926 123.787 * * [simplify]: Extracting #6: cost 59 inf + 1508 123.789 * * [simplify]: Extracting #7: cost 54 inf + 4663 123.794 * * [simplify]: Extracting #8: cost 10 inf + 14013 123.801 * * [simplify]: Extracting #9: cost 1 inf + 16478 123.805 * * [simplify]: Extracting #10: cost 0 inf + 17002 123.809 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1)) (+ (* v v) 1))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 123.809 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ (* 3 (* v v)) 1)) 1)) (+ (* v v) 1))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 123.809 * * * * [progress]: [ 217 / 458 ] simplifiying candidate # 123.810 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 123.810 * * [simplify]: iters left: 6 (25 enodes) 123.818 * * [simplify]: iters left: 5 (112 enodes) 123.845 * * [simplify]: iters left: 4 (275 enodes) 123.929 * * [simplify]: Extracting #0: cost 1 inf + 0 123.929 * * [simplify]: Extracting #1: cost 4 inf + 0 123.929 * * [simplify]: Extracting #2: cost 8 inf + 0 123.929 * * [simplify]: Extracting #3: cost 35 inf + 0 123.929 * * [simplify]: Extracting #4: cost 124 inf + 1 123.930 * * [simplify]: Extracting #5: cost 199 inf + 249 123.932 * * [simplify]: Extracting #6: cost 201 inf + 7543 123.939 * * [simplify]: Extracting #7: cost 115 inf + 30933 123.950 * * [simplify]: Extracting #8: cost 33 inf + 51454 123.975 * * [simplify]: Extracting #9: cost 3 inf + 63762 124.003 * * [simplify]: Extracting #10: cost 0 inf + 65897 124.030 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) 124.030 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 124.031 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 124.031 * * [simplify]: iters left: 6 (16 enodes) 124.040 * * [simplify]: iters left: 5 (64 enodes) 124.064 * * [simplify]: iters left: 4 (116 enodes) 124.114 * * [simplify]: iters left: 3 (233 enodes) 124.213 * * [simplify]: iters left: 2 (317 enodes) 124.294 * * [simplify]: iters left: 1 (400 enodes) 124.408 * * [simplify]: Extracting #0: cost 1 inf + 0 124.408 * * [simplify]: Extracting #1: cost 4 inf + 0 124.408 * * [simplify]: Extracting #2: cost 8 inf + 0 124.408 * * [simplify]: Extracting #3: cost 22 inf + 0 124.409 * * [simplify]: Extracting #4: cost 49 inf + 1 124.410 * * [simplify]: Extracting #5: cost 64 inf + 938 124.411 * * [simplify]: Extracting #6: cost 54 inf + 2123 124.414 * * [simplify]: Extracting #7: cost 23 inf + 10029 124.421 * * [simplify]: Extracting #8: cost 3 inf + 16774 124.429 * * [simplify]: Extracting #9: cost 0 inf + 17634 124.436 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* (+ (* v v) 1) (* v v))))) (sqrt (+ 1 (* (+ (* v v) 1) (* v v))))) 124.436 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* (+ (* v v) 1) (* v v))))) (sqrt (+ 1 (* (+ (* v v) 1) (* v v))))))) 124.437 * * * * [progress]: [ 218 / 458 ] simplifiying candidate # 124.437 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 124.438 * * [simplify]: iters left: 6 (27 enodes) 124.455 * * [simplify]: iters left: 5 (123 enodes) 124.495 * * [simplify]: iters left: 4 (287 enodes) 124.588 * * [simplify]: Extracting #0: cost 1 inf + 0 124.588 * * [simplify]: Extracting #1: cost 4 inf + 0 124.588 * * [simplify]: Extracting #2: cost 8 inf + 0 124.588 * * [simplify]: Extracting #3: cost 41 inf + 0 124.589 * * [simplify]: Extracting #4: cost 128 inf + 1 124.589 * * [simplify]: Extracting #5: cost 189 inf + 167 124.590 * * [simplify]: Extracting #6: cost 202 inf + 2950 124.594 * * [simplify]: Extracting #7: cost 120 inf + 22090 124.606 * * [simplify]: Extracting #8: cost 25 inf + 47345 124.617 * * [simplify]: Extracting #9: cost 3 inf + 55877 124.636 * * [simplify]: Extracting #10: cost 0 inf + 58134 124.661 * [simplify]: Simplified to (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) 124.661 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 124.661 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 124.662 * * [simplify]: iters left: 6 (17 enodes) 124.671 * * [simplify]: iters left: 5 (68 enodes) 124.695 * * [simplify]: iters left: 4 (110 enodes) 124.734 * * [simplify]: iters left: 3 (161 enodes) 124.779 * * [simplify]: iters left: 2 (187 enodes) 124.812 * * [simplify]: iters left: 1 (217 enodes) 124.873 * * [simplify]: Extracting #0: cost 1 inf + 0 124.873 * * [simplify]: Extracting #1: cost 4 inf + 0 124.873 * * [simplify]: Extracting #2: cost 8 inf + 0 124.873 * * [simplify]: Extracting #3: cost 18 inf + 0 124.873 * * [simplify]: Extracting #4: cost 37 inf + 1 124.874 * * [simplify]: Extracting #5: cost 51 inf + 379 124.875 * * [simplify]: Extracting #6: cost 31 inf + 3576 124.877 * * [simplify]: Extracting #7: cost 6 inf + 8637 124.882 * * [simplify]: Extracting #8: cost 0 inf + 9943 124.885 * [simplify]: Simplified to (* (sqrt (+ (* (sqrt (+ 1 (* 3 (* v v)))) (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 124.885 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (+ (* (* v v) -3) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ (* (sqrt (+ 1 (* 3 (* v v)))) (* v v)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 124.885 * * * * [progress]: [ 219 / 458 ] simplifiying candidate # 124.886 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 124.886 * * [simplify]: iters left: 6 (21 enodes) 124.899 * * [simplify]: iters left: 5 (90 enodes) 124.931 * * [simplify]: iters left: 4 (190 enodes) 124.990 * * [simplify]: Extracting #0: cost 1 inf + 0 124.990 * * [simplify]: Extracting #1: cost 4 inf + 0 124.990 * * [simplify]: Extracting #2: cost 8 inf + 0 124.990 * * [simplify]: Extracting #3: cost 29 inf + 0 124.991 * * [simplify]: Extracting #4: cost 100 inf + 1 124.992 * * [simplify]: Extracting #5: cost 152 inf + 372 124.993 * * [simplify]: Extracting #6: cost 149 inf + 1579 125.000 * * [simplify]: Extracting #7: cost 53 inf + 27107 125.016 * * [simplify]: Extracting #8: cost 4 inf + 43758 125.033 * * [simplify]: Extracting #9: cost 0 inf + 45040 125.049 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* (* v v) v) (* (* v v) v))))))) 125.049 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* (* v v) v) (* (* v v) v))))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 125.050 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 125.050 * * [simplify]: iters left: 6 (13 enodes) 125.055 * * [simplify]: iters left: 5 (51 enodes) 125.065 * * [simplify]: iters left: 4 (96 enodes) 125.092 * * [simplify]: iters left: 3 (190 enodes) 125.143 * * [simplify]: iters left: 2 (259 enodes) 125.218 * * [simplify]: iters left: 1 (311 enodes) 125.280 * * [simplify]: Extracting #0: cost 1 inf + 0 125.280 * * [simplify]: Extracting #1: cost 4 inf + 0 125.280 * * [simplify]: Extracting #2: cost 8 inf + 0 125.280 * * [simplify]: Extracting #3: cost 22 inf + 0 125.280 * * [simplify]: Extracting #4: cost 43 inf + 2 125.281 * * [simplify]: Extracting #5: cost 61 inf + 551 125.283 * * [simplify]: Extracting #6: cost 34 inf + 4335 125.287 * * [simplify]: Extracting #7: cost 5 inf + 11021 125.291 * * [simplify]: Extracting #8: cost 0 inf + 12454 125.296 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (+ (* 4 (* v v)) 4)) 4)) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 125.296 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* (* v v) v) (* (* v v) v))))))) (* (sqrt (+ (* (* v v) (+ (* 4 (* v v)) 4)) 4)) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 125.296 * * * * [progress]: [ 220 / 458 ] simplifiying candidate # 125.297 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 125.297 * * [simplify]: iters left: 6 (24 enodes) 125.312 * * [simplify]: iters left: 5 (102 enodes) 125.350 * * [simplify]: iters left: 4 (213 enodes) 125.436 * * [simplify]: Extracting #0: cost 1 inf + 0 125.436 * * [simplify]: Extracting #1: cost 4 inf + 0 125.436 * * [simplify]: Extracting #2: cost 8 inf + 0 125.436 * * [simplify]: Extracting #3: cost 33 inf + 0 125.436 * * [simplify]: Extracting #4: cost 101 inf + 1 125.437 * * [simplify]: Extracting #5: cost 153 inf + 126 125.437 * * [simplify]: Extracting #6: cost 149 inf + 1326 125.440 * * [simplify]: Extracting #7: cost 68 inf + 21662 125.449 * * [simplify]: Extracting #8: cost 11 inf + 38242 125.465 * * [simplify]: Extracting #9: cost 1 inf + 42001 125.482 * * [simplify]: Extracting #10: cost 0 inf + 42726 125.499 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 125.499 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))))) 125.499 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))) 125.500 * * [simplify]: iters left: 6 (14 enodes) 125.509 * * [simplify]: iters left: 5 (55 enodes) 125.527 * * [simplify]: iters left: 4 (90 enodes) 125.560 * * [simplify]: iters left: 3 (127 enodes) 125.598 * * [simplify]: iters left: 2 (151 enodes) 125.641 * * [simplify]: iters left: 1 (178 enodes) 125.696 * * [simplify]: Extracting #0: cost 1 inf + 0 125.696 * * [simplify]: Extracting #1: cost 4 inf + 0 125.696 * * [simplify]: Extracting #2: cost 8 inf + 0 125.696 * * [simplify]: Extracting #3: cost 18 inf + 0 125.696 * * [simplify]: Extracting #4: cost 33 inf + 2 125.697 * * [simplify]: Extracting #5: cost 45 inf + 461 125.698 * * [simplify]: Extracting #6: cost 18 inf + 3665 125.700 * * [simplify]: Extracting #7: cost 3 inf + 7138 125.702 * * [simplify]: Extracting #8: cost 0 inf + 8257 125.705 * [simplify]: Simplified to (* (sqrt (+ 4 (* (* v 4) v))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 125.705 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 4 (* (* v 4) v))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 125.705 * * * * [progress]: [ 221 / 458 ] simplifiying candidate # 125.706 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 125.706 * * [simplify]: iters left: 6 (18 enodes) 125.718 * * [simplify]: iters left: 5 (76 enodes) 125.735 * * [simplify]: iters left: 4 (173 enodes) 125.803 * * [simplify]: iters left: 3 (439 enodes) 126.065 * * [simplify]: Extracting #0: cost 1 inf + 0 126.065 * * [simplify]: Extracting #1: cost 27 inf + 0 126.065 * * [simplify]: Extracting #2: cost 173 inf + 2 126.068 * * [simplify]: Extracting #3: cost 404 inf + 413 126.080 * * [simplify]: Extracting #4: cost 276 inf + 36720 126.123 * * [simplify]: Extracting #5: cost 56 inf + 114749 126.159 * * [simplify]: Extracting #6: cost 1 inf + 140217 126.198 * * [simplify]: Extracting #7: cost 0 inf + 140469 126.237 * [simplify]: Simplified to (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) 126.237 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 126.237 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 126.238 * * [simplify]: iters left: 6 (10 enodes) 126.243 * * [simplify]: iters left: 5 (32 enodes) 126.251 * * [simplify]: iters left: 4 (53 enodes) 126.261 * * [simplify]: iters left: 3 (85 enodes) 126.281 * * [simplify]: iters left: 2 (106 enodes) 126.315 * * [simplify]: iters left: 1 (132 enodes) 126.346 * * [simplify]: Extracting #0: cost 1 inf + 0 126.346 * * [simplify]: Extracting #1: cost 11 inf + 0 126.346 * * [simplify]: Extracting #2: cost 24 inf + 1 126.346 * * [simplify]: Extracting #3: cost 33 inf + 125 126.347 * * [simplify]: Extracting #4: cost 19 inf + 1809 126.347 * * [simplify]: Extracting #5: cost 9 inf + 3891 126.348 * * [simplify]: Extracting #6: cost 0 inf + 6230 126.349 * [simplify]: Simplified to (+ 1 (+ (* (* v v) (* v v)) (* v v))) 126.349 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (+ 1 (+ (* (* v v) (* v v)) (* v v))))) 126.349 * * * * [progress]: [ 222 / 458 ] simplifiying candidate # 126.350 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 126.350 * * [simplify]: iters left: 6 (23 enodes) 126.363 * * [simplify]: iters left: 5 (99 enodes) 126.405 * * [simplify]: iters left: 4 (216 enodes) 126.498 * * [simplify]: Extracting #0: cost 1 inf + 0 126.498 * * [simplify]: Extracting #1: cost 4 inf + 0 126.498 * * [simplify]: Extracting #2: cost 8 inf + 0 126.498 * * [simplify]: Extracting #3: cost 36 inf + 0 126.499 * * [simplify]: Extracting #4: cost 105 inf + 1 126.499 * * [simplify]: Extracting #5: cost 154 inf + 372 126.500 * * [simplify]: Extracting #6: cost 157 inf + 909 126.503 * * [simplify]: Extracting #7: cost 64 inf + 25182 126.511 * * [simplify]: Extracting #8: cost 3 inf + 43536 126.529 * * [simplify]: Extracting #9: cost 0 inf + 44429 126.539 * * [simplify]: Extracting #10: cost 0 inf + 44269 126.548 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (+ (* (* (* v v) v) (- v)) 1) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 126.549 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (+ (* (* (* v v) v) (- v)) 1) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ 1 (* v v)))))) 126.549 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ 1 (* v v)))) 126.549 * * [simplify]: iters left: 6 (12 enodes) 126.553 * * [simplify]: iters left: 5 (42 enodes) 126.561 * * [simplify]: iters left: 4 (62 enodes) 126.583 * * [simplify]: iters left: 3 (94 enodes) 126.614 * * [simplify]: iters left: 2 (116 enodes) 126.641 * * [simplify]: iters left: 1 (142 enodes) 126.664 * * [simplify]: Extracting #0: cost 1 inf + 0 126.664 * * [simplify]: Extracting #1: cost 4 inf + 0 126.664 * * [simplify]: Extracting #2: cost 8 inf + 0 126.664 * * [simplify]: Extracting #3: cost 15 inf + 0 126.664 * * [simplify]: Extracting #4: cost 26 inf + 1 126.665 * * [simplify]: Extracting #5: cost 36 inf + 44 126.665 * * [simplify]: Extracting #6: cost 23 inf + 1918 126.666 * * [simplify]: Extracting #7: cost 9 inf + 4245 126.667 * * [simplify]: Extracting #8: cost 1 inf + 6422 126.668 * * [simplify]: Extracting #9: cost 0 inf + 6634 126.670 * [simplify]: Simplified to (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (+ (* v v) 1))) 126.670 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (+ (* (* (* v v) v) (- v)) 1) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (+ (* v v) 1))))) 126.671 * * * * [progress]: [ 223 / 458 ] simplifiying candidate # 126.671 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 126.671 * * [simplify]: iters left: 6 (25 enodes) 126.681 * * [simplify]: iters left: 5 (116 enodes) 126.708 * * [simplify]: iters left: 4 (294 enodes) 126.854 * * [simplify]: Extracting #0: cost 1 inf + 0 126.854 * * [simplify]: Extracting #1: cost 4 inf + 0 126.855 * * [simplify]: Extracting #2: cost 8 inf + 0 126.855 * * [simplify]: Extracting #3: cost 34 inf + 0 126.855 * * [simplify]: Extracting #4: cost 107 inf + 1 126.855 * * [simplify]: Extracting #5: cost 166 inf + 455 126.857 * * [simplify]: Extracting #6: cost 195 inf + 5848 126.861 * * [simplify]: Extracting #7: cost 182 inf + 18643 126.878 * * [simplify]: Extracting #8: cost 34 inf + 56348 126.891 * * [simplify]: Extracting #9: cost 0 inf + 66973 126.904 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) 126.904 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 126.905 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 126.905 * * [simplify]: iters left: 6 (20 enodes) 126.919 * * [simplify]: iters left: 5 (85 enodes) 126.957 * * [simplify]: iters left: 4 (185 enodes) 127.017 * * [simplify]: iters left: 3 (305 enodes) 127.158 * * [simplify]: iters left: 2 (386 enodes) 127.273 * * [simplify]: iters left: 1 (433 enodes) 127.365 * * [simplify]: Extracting #0: cost 1 inf + 0 127.365 * * [simplify]: Extracting #1: cost 4 inf + 0 127.365 * * [simplify]: Extracting #2: cost 8 inf + 0 127.365 * * [simplify]: Extracting #3: cost 18 inf + 0 127.365 * * [simplify]: Extracting #4: cost 30 inf + 2 127.365 * * [simplify]: Extracting #5: cost 43 inf + 803 127.366 * * [simplify]: Extracting #6: cost 53 inf + 1845 127.370 * * [simplify]: Extracting #7: cost 39 inf + 6564 127.376 * * [simplify]: Extracting #8: cost 10 inf + 12511 127.382 * * [simplify]: Extracting #9: cost 0 inf + 15634 127.389 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v v) 3) (+ (* (* (* v v) 3) (* (* v v) 3)) 1))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 127.389 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) (* (sqrt (* 4 (sqrt (+ (* (* v v) 3) (+ (* (* (* v v) 3) (* (* v v) 3)) 1))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 127.390 * * * * [progress]: [ 224 / 458 ] simplifiying candidate # 127.390 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 127.390 * * [simplify]: iters left: 6 (26 enodes) 127.406 * * [simplify]: iters left: 5 (115 enodes) 127.451 * * [simplify]: iters left: 4 (272 enodes) 127.548 * * [simplify]: Extracting #0: cost 1 inf + 0 127.548 * * [simplify]: Extracting #1: cost 4 inf + 0 127.548 * * [simplify]: Extracting #2: cost 8 inf + 0 127.548 * * [simplify]: Extracting #3: cost 32 inf + 0 127.549 * * [simplify]: Extracting #4: cost 105 inf + 1 127.549 * * [simplify]: Extracting #5: cost 167 inf + 332 127.551 * * [simplify]: Extracting #6: cost 161 inf + 6250 127.554 * * [simplify]: Extracting #7: cost 96 inf + 23181 127.563 * * [simplify]: Extracting #8: cost 9 inf + 48220 127.575 * * [simplify]: Extracting #9: cost 0 inf + 50816 127.600 * * [simplify]: Extracting #10: cost 0 inf + 50176 127.610 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) 127.610 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 127.611 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 127.611 * * [simplify]: iters left: 6 (17 enodes) 127.616 * * [simplify]: iters left: 5 (61 enodes) 127.627 * * [simplify]: iters left: 4 (91 enodes) 127.651 * * [simplify]: iters left: 3 (133 enodes) 127.694 * * [simplify]: iters left: 2 (154 enodes) 127.725 * * [simplify]: iters left: 1 (179 enodes) 127.763 * * [simplify]: Extracting #0: cost 1 inf + 0 127.763 * * [simplify]: Extracting #1: cost 4 inf + 0 127.763 * * [simplify]: Extracting #2: cost 8 inf + 0 127.763 * * [simplify]: Extracting #3: cost 18 inf + 0 127.763 * * [simplify]: Extracting #4: cost 30 inf + 2 127.764 * * [simplify]: Extracting #5: cost 41 inf + 509 127.765 * * [simplify]: Extracting #6: cost 20 inf + 4238 127.767 * * [simplify]: Extracting #7: cost 6 inf + 6917 127.770 * * [simplify]: Extracting #8: cost 0 inf + 8350 127.772 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 127.772 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) (/ 4 (sqrt (- 1 (* (* v v) 3)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* (* v v) 3))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 127.773 * * * * [progress]: [ 225 / 458 ] simplifiying candidate # 127.773 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 127.773 * * [simplify]: iters left: 6 (25 enodes) 127.790 * * [simplify]: iters left: 5 (118 enodes) 127.842 * * [simplify]: iters left: 4 (308 enodes) 128.008 * * [simplify]: Extracting #0: cost 1 inf + 0 128.008 * * [simplify]: Extracting #1: cost 4 inf + 0 128.009 * * [simplify]: Extracting #2: cost 8 inf + 0 128.009 * * [simplify]: Extracting #3: cost 41 inf + 0 128.009 * * [simplify]: Extracting #4: cost 127 inf + 1 128.011 * * [simplify]: Extracting #5: cost 185 inf + 659 128.014 * * [simplify]: Extracting #6: cost 213 inf + 6467 128.026 * * [simplify]: Extracting #7: cost 146 inf + 34178 128.051 * * [simplify]: Extracting #8: cost 11 inf + 72656 128.082 * * [simplify]: Extracting #9: cost 0 inf + 74910 128.110 * * [simplify]: Extracting #10: cost 0 inf + 74140 128.126 * * [simplify]: Extracting #11: cost 0 inf + 74100 128.154 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) 128.154 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 128.154 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 128.155 * * [simplify]: iters left: 6 (18 enodes) 128.167 * * [simplify]: iters left: 5 (78 enodes) 128.199 * * [simplify]: iters left: 4 (178 enodes) 128.258 * * [simplify]: iters left: 3 (298 enodes) 128.370 * * [simplify]: iters left: 2 (375 enodes) 128.506 * * [simplify]: iters left: 1 (433 enodes) 128.614 * * [simplify]: Extracting #0: cost 1 inf + 0 128.614 * * [simplify]: Extracting #1: cost 4 inf + 0 128.614 * * [simplify]: Extracting #2: cost 8 inf + 0 128.614 * * [simplify]: Extracting #3: cost 17 inf + 0 128.614 * * [simplify]: Extracting #4: cost 35 inf + 1 128.615 * * [simplify]: Extracting #5: cost 65 inf + 126 128.615 * * [simplify]: Extracting #6: cost 67 inf + 1548 128.617 * * [simplify]: Extracting #7: cost 29 inf + 7726 128.620 * * [simplify]: Extracting #8: cost 6 inf + 12746 128.623 * * [simplify]: Extracting #9: cost 0 inf + 14912 128.626 * [simplify]: Simplified to (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (sqrt (+ (* (* v v) (+ 3 (* 9 (* v v)))) 1)))) 128.626 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt 2)) (/ 4 (- 1 (* v v)))))) (* (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) (sqrt (sqrt (+ (* (* v v) (+ 3 (* 9 (* v v)))) 1)))))) 128.626 * * * * [progress]: [ 226 / 458 ] simplifiying candidate # 128.627 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 128.627 * * [simplify]: iters left: 6 (26 enodes) 128.636 * * [simplify]: iters left: 5 (117 enodes) 128.675 * * [simplify]: iters left: 4 (286 enodes) 128.788 * * [simplify]: Extracting #0: cost 1 inf + 0 128.788 * * [simplify]: Extracting #1: cost 4 inf + 0 128.789 * * [simplify]: Extracting #2: cost 8 inf + 0 128.789 * * [simplify]: Extracting #3: cost 39 inf + 0 128.789 * * [simplify]: Extracting #4: cost 128 inf + 1 128.790 * * [simplify]: Extracting #5: cost 189 inf + 373 128.796 * * [simplify]: Extracting #6: cost 156 inf + 14076 128.811 * * [simplify]: Extracting #7: cost 72 inf + 35582 128.832 * * [simplify]: Extracting #8: cost 12 inf + 52684 128.860 * * [simplify]: Extracting #9: cost 0 inf + 57028 128.885 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 128.885 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 128.886 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 128.886 * * [simplify]: iters left: 6 (15 enodes) 128.894 * * [simplify]: iters left: 5 (54 enodes) 128.912 * * [simplify]: iters left: 4 (84 enodes) 128.942 * * [simplify]: iters left: 3 (126 enodes) 128.983 * * [simplify]: iters left: 2 (156 enodes) 129.037 * * [simplify]: iters left: 1 (193 enodes) 129.089 * * [simplify]: Extracting #0: cost 1 inf + 0 129.090 * * [simplify]: Extracting #1: cost 4 inf + 0 129.090 * * [simplify]: Extracting #2: cost 8 inf + 0 129.090 * * [simplify]: Extracting #3: cost 17 inf + 0 129.090 * * [simplify]: Extracting #4: cost 34 inf + 1 129.090 * * [simplify]: Extracting #5: cost 46 inf + 802 129.091 * * [simplify]: Extracting #6: cost 30 inf + 2356 129.093 * * [simplify]: Extracting #7: cost 2 inf + 8292 129.096 * * [simplify]: Extracting #8: cost 0 inf + 8667 129.098 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (+ (* (* v v) (* v v)) (* v v))))) 129.098 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (+ (* (* v v) (* v v)) (* v v))))))) 129.099 * * * * [progress]: [ 227 / 458 ] simplifiying candidate # 129.099 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 129.099 * * [simplify]: iters left: 6 (22 enodes) 129.113 * * [simplify]: iters left: 5 (96 enodes) 129.154 * * [simplify]: iters left: 4 (212 enodes) 129.225 * * [simplify]: Extracting #0: cost 1 inf + 0 129.225 * * [simplify]: Extracting #1: cost 4 inf + 0 129.226 * * [simplify]: Extracting #2: cost 8 inf + 0 129.226 * * [simplify]: Extracting #3: cost 35 inf + 0 129.226 * * [simplify]: Extracting #4: cost 108 inf + 1 129.227 * * [simplify]: Extracting #5: cost 160 inf + 576 129.230 * * [simplify]: Extracting #6: cost 133 inf + 5476 129.238 * * [simplify]: Extracting #7: cost 67 inf + 23460 129.257 * * [simplify]: Extracting #8: cost 3 inf + 43958 129.274 * * [simplify]: Extracting #9: cost 0 inf + 44866 129.291 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) 129.291 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt 4)))) 129.291 * [simplify]: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt 4)) 129.291 * * [simplify]: iters left: 6 (12 enodes) 129.299 * * [simplify]: iters left: 5 (42 enodes) 129.309 * * [simplify]: iters left: 4 (65 enodes) 129.322 * * [simplify]: iters left: 3 (103 enodes) 129.354 * * [simplify]: iters left: 2 (123 enodes) 129.382 * * [simplify]: iters left: 1 (145 enodes) 129.405 * * [simplify]: Extracting #0: cost 1 inf + 0 129.405 * * [simplify]: Extracting #1: cost 4 inf + 0 129.405 * * [simplify]: Extracting #2: cost 5 inf + 1 129.405 * * [simplify]: Extracting #3: cost 12 inf + 1 129.405 * * [simplify]: Extracting #4: cost 24 inf + 2 129.405 * * [simplify]: Extracting #5: cost 29 inf + 1054 129.406 * * [simplify]: Extracting #6: cost 20 inf + 3276 129.407 * * [simplify]: Extracting #7: cost 5 inf + 5472 129.407 * * [simplify]: Extracting #8: cost 1 inf + 6020 129.408 * * [simplify]: Extracting #9: cost 0 inf + 6232 129.409 * [simplify]: Simplified to (* 2 (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 129.409 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* 2 (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 129.410 * * * * [progress]: [ 228 / 458 ] simplifiying candidate # 129.410 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 129.410 * * [simplify]: iters left: 6 (27 enodes) 129.419 * * [simplify]: iters left: 5 (122 enodes) 129.460 * * [simplify]: iters left: 4 (295 enodes) 129.560 * * [simplify]: Extracting #0: cost 1 inf + 0 129.560 * * [simplify]: Extracting #1: cost 4 inf + 0 129.560 * * [simplify]: Extracting #2: cost 8 inf + 0 129.560 * * [simplify]: Extracting #3: cost 34 inf + 0 129.561 * * [simplify]: Extracting #4: cost 105 inf + 1 129.562 * * [simplify]: Extracting #5: cost 165 inf + 290 129.563 * * [simplify]: Extracting #6: cost 221 inf + 1625 129.569 * * [simplify]: Extracting #7: cost 178 inf + 17089 129.582 * * [simplify]: Extracting #8: cost 54 inf + 44858 129.593 * * [simplify]: Extracting #9: cost 20 inf + 56990 129.606 * * [simplify]: Extracting #10: cost 0 inf + 66306 129.620 * * [simplify]: Extracting #11: cost 0 inf + 65673 129.634 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 129.634 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 129.634 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 129.634 * * [simplify]: iters left: 6 (22 enodes) 129.642 * * [simplify]: iters left: 5 (101 enodes) 129.666 * * [simplify]: iters left: 4 (254 enodes) 129.749 * * [simplify]: Extracting #0: cost 1 inf + 0 129.749 * * [simplify]: Extracting #1: cost 4 inf + 0 129.749 * * [simplify]: Extracting #2: cost 8 inf + 0 129.749 * * [simplify]: Extracting #3: cost 33 inf + 0 129.749 * * [simplify]: Extracting #4: cost 75 inf + 2 129.749 * * [simplify]: Extracting #5: cost 97 inf + 3 129.750 * * [simplify]: Extracting #6: cost 112 inf + 168 129.751 * * [simplify]: Extracting #7: cost 79 inf + 5578 129.755 * * [simplify]: Extracting #8: cost 29 inf + 16956 129.768 * * [simplify]: Extracting #9: cost 2 inf + 27096 129.778 * * [simplify]: Extracting #10: cost 0 inf + 28064 129.786 * [simplify]: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (* 4 (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 129.786 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* v v) 1)) (sqrt (* (* 4 (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) 129.787 * * * * [progress]: [ 229 / 458 ] simplifiying candidate # 129.787 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 129.787 * * [simplify]: iters left: 6 (25 enodes) 129.795 * * [simplify]: iters left: 5 (109 enodes) 129.832 * * [simplify]: iters left: 4 (264 enodes) 129.940 * * [simplify]: Extracting #0: cost 1 inf + 0 129.940 * * [simplify]: Extracting #1: cost 4 inf + 0 129.940 * * [simplify]: Extracting #2: cost 8 inf + 0 129.940 * * [simplify]: Extracting #3: cost 30 inf + 0 129.940 * * [simplify]: Extracting #4: cost 91 inf + 1 129.941 * * [simplify]: Extracting #5: cost 124 inf + 127 129.942 * * [simplify]: Extracting #6: cost 164 inf + 3053 129.946 * * [simplify]: Extracting #7: cost 128 inf + 22213 129.956 * * [simplify]: Extracting #8: cost 21 inf + 47833 129.974 * * [simplify]: Extracting #9: cost 0 inf + 53759 129.986 * * [simplify]: Extracting #10: cost 0 inf + 53519 129.998 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) 129.998 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 129.999 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 129.999 * * [simplify]: iters left: 6 (18 enodes) 130.005 * * [simplify]: iters left: 5 (85 enodes) 130.041 * * [simplify]: iters left: 4 (207 enodes) 130.098 * * [simplify]: iters left: 3 (334 enodes) 130.226 * * [simplify]: iters left: 2 (454 enodes) 130.385 * * [simplify]: Extracting #0: cost 1 inf + 0 130.385 * * [simplify]: Extracting #1: cost 4 inf + 0 130.385 * * [simplify]: Extracting #2: cost 8 inf + 0 130.385 * * [simplify]: Extracting #3: cost 18 inf + 0 130.385 * * [simplify]: Extracting #4: cost 29 inf + 2 130.386 * * [simplify]: Extracting #5: cost 39 inf + 3 130.386 * * [simplify]: Extracting #6: cost 50 inf + 781 130.388 * * [simplify]: Extracting #7: cost 62 inf + 1475 130.391 * * [simplify]: Extracting #8: cost 32 inf + 6722 130.400 * * [simplify]: Extracting #9: cost 4 inf + 13918 130.412 * * [simplify]: Extracting #10: cost 0 inf + 14467 130.420 * * [simplify]: Extracting #11: cost 0 inf + 14426 130.429 * [simplify]: Simplified to (* (sqrt (* (* 4 (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 130.429 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 130.429 * * * * [progress]: [ 230 / 458 ] simplifiying candidate # 130.430 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 130.430 * * [simplify]: iters left: 6 (27 enodes) 130.442 * * [simplify]: iters left: 5 (121 enodes) 130.469 * * [simplify]: iters left: 4 (273 enodes) 130.571 * * [simplify]: Extracting #0: cost 1 inf + 0 130.571 * * [simplify]: Extracting #1: cost 4 inf + 0 130.571 * * [simplify]: Extracting #2: cost 8 inf + 0 130.571 * * [simplify]: Extracting #3: cost 32 inf + 0 130.571 * * [simplify]: Extracting #4: cost 106 inf + 1 130.572 * * [simplify]: Extracting #5: cost 166 inf + 372 130.574 * * [simplify]: Extracting #6: cost 191 inf + 909 130.579 * * [simplify]: Extracting #7: cost 140 inf + 12113 130.591 * * [simplify]: Extracting #8: cost 48 inf + 32168 130.610 * * [simplify]: Extracting #9: cost 5 inf + 48047 130.631 * * [simplify]: Extracting #10: cost 0 inf + 50988 130.645 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 130.645 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 130.646 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 130.646 * * [simplify]: iters left: 6 (19 enodes) 130.652 * * [simplify]: iters left: 5 (77 enodes) 130.674 * * [simplify]: iters left: 4 (160 enodes) 130.724 * * [simplify]: iters left: 3 (407 enodes) 130.875 * * [simplify]: Extracting #0: cost 1 inf + 0 130.875 * * [simplify]: Extracting #1: cost 4 inf + 0 130.875 * * [simplify]: Extracting #2: cost 8 inf + 0 130.875 * * [simplify]: Extracting #3: cost 31 inf + 0 130.876 * * [simplify]: Extracting #4: cost 77 inf + 2 130.876 * * [simplify]: Extracting #5: cost 122 inf + 3 130.877 * * [simplify]: Extracting #6: cost 102 inf + 3518 130.882 * * [simplify]: Extracting #7: cost 17 inf + 22337 130.889 * * [simplify]: Extracting #8: cost 0 inf + 25183 130.899 * * [simplify]: Extracting #9: cost 0 inf + 25103 130.914 * [simplify]: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 130.914 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* v v) 1)) (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) 130.914 * * * * [progress]: [ 231 / 458 ] simplifiying candidate # 130.915 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 130.915 * * [simplify]: iters left: 6 (24 enodes) 130.929 * * [simplify]: iters left: 5 (103 enodes) 130.971 * * [simplify]: iters left: 4 (227 enodes) 131.046 * * [simplify]: Extracting #0: cost 1 inf + 0 131.046 * * [simplify]: Extracting #1: cost 4 inf + 0 131.046 * * [simplify]: Extracting #2: cost 8 inf + 0 131.046 * * [simplify]: Extracting #3: cost 34 inf + 0 131.047 * * [simplify]: Extracting #4: cost 95 inf + 1 131.048 * * [simplify]: Extracting #5: cost 125 inf + 414 131.050 * * [simplify]: Extracting #6: cost 126 inf + 3865 131.057 * * [simplify]: Extracting #7: cost 70 inf + 18611 131.073 * * [simplify]: Extracting #8: cost 20 inf + 29801 131.089 * * [simplify]: Extracting #9: cost 1 inf + 36552 131.105 * * [simplify]: Extracting #10: cost 0 inf + 36875 131.113 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (/ 4 (sqrt (- 1 (* (* v v) 3))))))) 131.113 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (/ 4 (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 131.114 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 131.114 * * [simplify]: iters left: 6 (14 enodes) 131.118 * * [simplify]: iters left: 5 (60 enodes) 131.130 * * [simplify]: iters left: 4 (104 enodes) 131.156 * * [simplify]: iters left: 3 (165 enodes) 131.201 * * [simplify]: iters left: 2 (209 enodes) 131.259 * * [simplify]: iters left: 1 (211 enodes) 131.299 * * [simplify]: Extracting #0: cost 1 inf + 0 131.299 * * [simplify]: Extracting #1: cost 4 inf + 0 131.299 * * [simplify]: Extracting #2: cost 8 inf + 0 131.299 * * [simplify]: Extracting #3: cost 18 inf + 0 131.299 * * [simplify]: Extracting #4: cost 29 inf + 2 131.299 * * [simplify]: Extracting #5: cost 35 inf + 3 131.300 * * [simplify]: Extracting #6: cost 30 inf + 617 131.301 * * [simplify]: Extracting #7: cost 20 inf + 1601 131.303 * * [simplify]: Extracting #8: cost 6 inf + 5130 131.307 * * [simplify]: Extracting #9: cost 0 inf + 7072 131.311 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) 4) 4)))) 131.311 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (/ 4 (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) 4) 4)))))) 131.312 * * * * [progress]: [ 232 / 458 ] simplifiying candidate # 131.312 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 131.312 * * [simplify]: iters left: 6 (27 enodes) 131.329 * * [simplify]: iters left: 5 (124 enodes) 131.373 * * [simplify]: iters left: 4 (309 enodes) 131.477 * * [simplify]: Extracting #0: cost 1 inf + 0 131.477 * * [simplify]: Extracting #1: cost 4 inf + 0 131.477 * * [simplify]: Extracting #2: cost 8 inf + 0 131.477 * * [simplify]: Extracting #3: cost 41 inf + 0 131.478 * * [simplify]: Extracting #4: cost 125 inf + 1 131.479 * * [simplify]: Extracting #5: cost 184 inf + 454 131.482 * * [simplify]: Extracting #6: cost 206 inf + 9040 131.491 * * [simplify]: Extracting #7: cost 134 inf + 33804 131.507 * * [simplify]: Extracting #8: cost 27 inf + 65580 131.529 * * [simplify]: Extracting #9: cost 0 inf + 75627 131.560 * * [simplify]: Extracting #10: cost 0 inf + 72289 131.590 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 131.590 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 131.591 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 131.591 * * [simplify]: iters left: 6 (20 enodes) 131.604 * * [simplify]: iters left: 5 (92 enodes) 131.631 * * [simplify]: iters left: 4 (211 enodes) 131.693 * * [simplify]: iters left: 3 (399 enodes) 131.814 * * [simplify]: Extracting #0: cost 1 inf + 0 131.814 * * [simplify]: Extracting #1: cost 4 inf + 0 131.814 * * [simplify]: Extracting #2: cost 8 inf + 0 131.814 * * [simplify]: Extracting #3: cost 20 inf + 0 131.814 * * [simplify]: Extracting #4: cost 41 inf + 1 131.814 * * [simplify]: Extracting #5: cost 58 inf + 2 131.815 * * [simplify]: Extracting #6: cost 76 inf + 208 131.816 * * [simplify]: Extracting #7: cost 55 inf + 3707 131.819 * * [simplify]: Extracting #8: cost 22 inf + 9834 131.824 * * [simplify]: Extracting #9: cost 1 inf + 16453 131.830 * * [simplify]: Extracting #10: cost 0 inf + 16976 131.836 * [simplify]: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) 131.836 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (+ 1 (* (* (* v v) (* (* v v) (* v v))) -27))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ (* v v) 1)) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))))) 131.836 * * * * [progress]: [ 233 / 458 ] simplifiying candidate # 131.836 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 131.837 * * [simplify]: iters left: 6 (25 enodes) 131.845 * * [simplify]: iters left: 5 (111 enodes) 131.873 * * [simplify]: iters left: 4 (276 enodes) 131.957 * * [simplify]: Extracting #0: cost 1 inf + 0 131.958 * * [simplify]: Extracting #1: cost 4 inf + 0 131.958 * * [simplify]: Extracting #2: cost 8 inf + 0 131.958 * * [simplify]: Extracting #3: cost 35 inf + 0 131.958 * * [simplify]: Extracting #4: cost 106 inf + 1 131.959 * * [simplify]: Extracting #5: cost 137 inf + 291 131.960 * * [simplify]: Extracting #6: cost 173 inf + 3381 131.963 * * [simplify]: Extracting #7: cost 155 inf + 16961 131.973 * * [simplify]: Extracting #8: cost 32 inf + 47957 131.997 * * [simplify]: Extracting #9: cost 3 inf + 58093 132.023 * * [simplify]: Extracting #10: cost 0 inf + 59343 132.050 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* (* (* v v) v) (* (* v v) v)) -27) 1)) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 132.051 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* (* (* v v) v) (* (* v v) v)) -27) 1)) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 132.051 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 132.051 * * [simplify]: iters left: 6 (16 enodes) 132.063 * * [simplify]: iters left: 5 (76 enodes) 132.080 * * [simplify]: iters left: 4 (170 enodes) 132.119 * * [simplify]: iters left: 3 (270 enodes) 132.210 * * [simplify]: iters left: 2 (347 enodes) 132.350 * * [simplify]: iters left: 1 (391 enodes) 132.448 * * [simplify]: Extracting #0: cost 1 inf + 0 132.448 * * [simplify]: Extracting #1: cost 4 inf + 0 132.448 * * [simplify]: Extracting #2: cost 8 inf + 0 132.448 * * [simplify]: Extracting #3: cost 14 inf + 0 132.448 * * [simplify]: Extracting #4: cost 19 inf + 1 132.448 * * [simplify]: Extracting #5: cost 25 inf + 2 132.448 * * [simplify]: Extracting #6: cost 48 inf + 370 132.449 * * [simplify]: Extracting #7: cost 70 inf + 1390 132.451 * * [simplify]: Extracting #8: cost 24 inf + 11403 132.454 * * [simplify]: Extracting #9: cost 14 inf + 13152 132.458 * * [simplify]: Extracting #10: cost 3 inf + 15898 132.461 * * [simplify]: Extracting #11: cost 0 inf + 16615 132.464 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) 132.465 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* (* (* v v) v) (* (* v v) v)) -27) 1)) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))))) 132.465 * * * * [progress]: [ 234 / 458 ] simplifiying candidate # 132.465 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 132.465 * * [simplify]: iters left: 6 (27 enodes) 132.475 * * [simplify]: iters left: 5 (123 enodes) 132.522 * * [simplify]: iters left: 4 (287 enodes) 132.624 * * [simplify]: Extracting #0: cost 1 inf + 0 132.624 * * [simplify]: Extracting #1: cost 4 inf + 0 132.624 * * [simplify]: Extracting #2: cost 8 inf + 0 132.624 * * [simplify]: Extracting #3: cost 39 inf + 0 132.624 * * [simplify]: Extracting #4: cost 126 inf + 1 132.625 * * [simplify]: Extracting #5: cost 187 inf + 167 132.626 * * [simplify]: Extracting #6: cost 198 inf + 2500 132.630 * * [simplify]: Extracting #7: cost 117 inf + 21871 132.643 * * [simplify]: Extracting #8: cost 6 inf + 55688 132.665 * * [simplify]: Extracting #9: cost 0 inf + 58842 132.690 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) 132.690 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 132.691 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 132.691 * * [simplify]: iters left: 6 (17 enodes) 132.701 * * [simplify]: iters left: 5 (68 enodes) 132.726 * * [simplify]: iters left: 4 (117 enodes) 132.772 * * [simplify]: iters left: 3 (229 enodes) 132.877 * * [simplify]: iters left: 2 (320 enodes) 132.959 * * [simplify]: iters left: 1 (395 enodes) 133.065 * * [simplify]: Extracting #0: cost 1 inf + 0 133.065 * * [simplify]: Extracting #1: cost 4 inf + 0 133.065 * * [simplify]: Extracting #2: cost 8 inf + 0 133.065 * * [simplify]: Extracting #3: cost 19 inf + 0 133.065 * * [simplify]: Extracting #4: cost 45 inf + 1 133.069 * * [simplify]: Extracting #5: cost 78 inf + 2 133.070 * * [simplify]: Extracting #6: cost 59 inf + 3335 133.074 * * [simplify]: Extracting #7: cost 18 inf + 13304 133.081 * * [simplify]: Extracting #8: cost 0 inf + 18737 133.089 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))) 133.089 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (/ 4 (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))))) 133.090 * * * * [progress]: [ 235 / 458 ] simplifiying candidate # 133.090 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 133.090 * * [simplify]: iters left: 6 (24 enodes) 133.098 * * [simplify]: iters left: 5 (105 enodes) 133.119 * * [simplify]: iters left: 4 (239 enodes) 133.190 * * [simplify]: Extracting #0: cost 1 inf + 0 133.190 * * [simplify]: Extracting #1: cost 4 inf + 0 133.190 * * [simplify]: Extracting #2: cost 8 inf + 0 133.190 * * [simplify]: Extracting #3: cost 35 inf + 0 133.191 * * [simplify]: Extracting #4: cost 103 inf + 1 133.191 * * [simplify]: Extracting #5: cost 133 inf + 452 133.192 * * [simplify]: Extracting #6: cost 134 inf + 3701 133.196 * * [simplify]: Extracting #7: cost 74 inf + 19176 133.202 * * [simplify]: Extracting #8: cost 30 inf + 29558 133.217 * * [simplify]: Extracting #9: cost 1 inf + 40198 133.228 * * [simplify]: Extracting #10: cost 0 inf + 40442 133.237 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 133.237 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 133.238 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 133.238 * * [simplify]: iters left: 6 (12 enodes) 133.242 * * [simplify]: iters left: 5 (51 enodes) 133.250 * * [simplify]: iters left: 4 (67 enodes) 133.274 * * [simplify]: iters left: 3 (92 enodes) 133.294 * * [simplify]: Extracting #0: cost 1 inf + 0 133.294 * * [simplify]: Extracting #1: cost 4 inf + 0 133.294 * * [simplify]: Extracting #2: cost 8 inf + 0 133.294 * * [simplify]: Extracting #3: cost 14 inf + 0 133.294 * * [simplify]: Extracting #4: cost 19 inf + 1 133.294 * * [simplify]: Extracting #5: cost 21 inf + 2 133.294 * * [simplify]: Extracting #6: cost 20 inf + 248 133.294 * * [simplify]: Extracting #7: cost 18 inf + 493 133.294 * * [simplify]: Extracting #8: cost 11 inf + 1351 133.295 * * [simplify]: Extracting #9: cost 2 inf + 3417 133.296 * * [simplify]: Extracting #10: cost 0 inf + 3903 133.297 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v))))) 133.297 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v))))))) 133.297 * * * * [progress]: [ 236 / 458 ] simplifiying candidate # 133.297 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 133.297 * * [simplify]: iters left: 6 (24 enodes) 133.305 * * [simplify]: iters left: 5 (102 enodes) 133.335 * * [simplify]: iters left: 4 (213 enodes) 133.418 * * [simplify]: Extracting #0: cost 1 inf + 0 133.418 * * [simplify]: Extracting #1: cost 4 inf + 0 133.418 * * [simplify]: Extracting #2: cost 8 inf + 0 133.418 * * [simplify]: Extracting #3: cost 33 inf + 0 133.418 * * [simplify]: Extracting #4: cost 99 inf + 1 133.419 * * [simplify]: Extracting #5: cost 148 inf + 413 133.420 * * [simplify]: Extracting #6: cost 145 inf + 1490 133.424 * * [simplify]: Extracting #7: cost 56 inf + 24241 133.432 * * [simplify]: Extracting #8: cost 5 inf + 39150 133.440 * * [simplify]: Extracting #9: cost 0 inf + 41308 133.448 * * [simplify]: Extracting #10: cost 0 inf + 41188 133.456 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* (* v v) v) (* (* v v) v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 133.456 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) v) (* (* v v) v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 133.457 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 133.457 * * [simplify]: iters left: 6 (14 enodes) 133.462 * * [simplify]: iters left: 5 (55 enodes) 133.482 * * [simplify]: iters left: 4 (97 enodes) 133.514 * * [simplify]: iters left: 3 (184 enodes) 133.574 * * [simplify]: iters left: 2 (260 enodes) 133.653 * * [simplify]: iters left: 1 (331 enodes) 133.776 * * [simplify]: Extracting #0: cost 1 inf + 0 133.777 * * [simplify]: Extracting #1: cost 4 inf + 0 133.777 * * [simplify]: Extracting #2: cost 8 inf + 0 133.777 * * [simplify]: Extracting #3: cost 19 inf + 0 133.777 * * [simplify]: Extracting #4: cost 39 inf + 2 133.777 * * [simplify]: Extracting #5: cost 64 inf + 3 133.778 * * [simplify]: Extracting #6: cost 59 inf + 1310 133.781 * * [simplify]: Extracting #7: cost 15 inf + 9878 133.785 * * [simplify]: Extracting #8: cost 1 inf + 12092 133.790 * * [simplify]: Extracting #9: cost 0 inf + 12134 133.795 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ (* (* v v) 4) 4) (* (* v v) (* (* v v) 4))))) 133.795 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* (* v v) v) (* (* v v) v))) (sqrt (- 1 (* (* v v) 3)))) (sqrt 2))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ (* (* v v) 4) 4) (* (* v v) (* (* v v) 4))))))) 133.795 * * * * [progress]: [ 237 / 458 ] simplifiying candidate # 133.796 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 133.796 * * [simplify]: iters left: 6 (21 enodes) 133.812 * * [simplify]: iters left: 5 (83 enodes) 133.838 * * [simplify]: iters left: 4 (154 enodes) 133.881 * * [simplify]: iters left: 3 (330 enodes) 134.022 * * [simplify]: Extracting #0: cost 1 inf + 0 134.022 * * [simplify]: Extracting #1: cost 4 inf + 0 134.022 * * [simplify]: Extracting #2: cost 8 inf + 0 134.022 * * [simplify]: Extracting #3: cost 40 inf + 0 134.022 * * [simplify]: Extracting #4: cost 161 inf + 2 134.023 * * [simplify]: Extracting #5: cost 224 inf + 373 134.027 * * [simplify]: Extracting #6: cost 137 inf + 19565 134.052 * * [simplify]: Extracting #7: cost 13 inf + 53236 134.085 * * [simplify]: Extracting #8: cost 0 inf + 56890 134.107 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) 134.107 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ 1 (* v v))))))) 134.108 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ 1 (* v v))))) 134.108 * * [simplify]: iters left: 6 (9 enodes) 134.111 * * [simplify]: iters left: 5 (38 enodes) 134.118 * * [simplify]: iters left: 4 (50 enodes) 134.126 * * [simplify]: iters left: 3 (54 enodes) 134.139 * * [simplify]: Extracting #0: cost 1 inf + 0 134.139 * * [simplify]: Extracting #1: cost 4 inf + 0 134.139 * * [simplify]: Extracting #2: cost 8 inf + 0 134.139 * * [simplify]: Extracting #3: cost 14 inf + 0 134.139 * * [simplify]: Extracting #4: cost 16 inf + 2 134.139 * * [simplify]: Extracting #5: cost 14 inf + 127 134.140 * * [simplify]: Extracting #6: cost 6 inf + 821 134.140 * * [simplify]: Extracting #7: cost 0 inf + 1955 134.141 * [simplify]: Simplified to (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (+ 1 (* v v)))) 134.141 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (+ 1 (* v v)))))) 134.141 * * * * [progress]: [ 238 / 458 ] simplifiying candidate # 134.142 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 134.142 * * [simplify]: iters left: 6 (23 enodes) 134.154 * * [simplify]: iters left: 5 (99 enodes) 134.175 * * [simplify]: iters left: 4 (216 enodes) 134.228 * * [simplify]: Extracting #0: cost 1 inf + 0 134.228 * * [simplify]: Extracting #1: cost 4 inf + 0 134.228 * * [simplify]: Extracting #2: cost 8 inf + 0 134.228 * * [simplify]: Extracting #3: cost 36 inf + 0 134.229 * * [simplify]: Extracting #4: cost 102 inf + 1 134.229 * * [simplify]: Extracting #5: cost 153 inf + 167 134.230 * * [simplify]: Extracting #6: cost 155 inf + 745 134.231 * * [simplify]: Extracting #7: cost 110 inf + 8168 134.238 * * [simplify]: Extracting #8: cost 22 inf + 35093 134.247 * * [simplify]: Extracting #9: cost 2 inf + 42367 134.256 * * [simplify]: Extracting #10: cost 0 inf + 43497 134.265 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4))))) 134.265 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 134.265 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 134.265 * * [simplify]: iters left: 6 (12 enodes) 134.271 * * [simplify]: iters left: 5 (42 enodes) 134.278 * * [simplify]: iters left: 4 (62 enodes) 134.294 * * [simplify]: iters left: 3 (93 enodes) 134.325 * * [simplify]: iters left: 2 (118 enodes) 134.355 * * [simplify]: iters left: 1 (146 enodes) 134.383 * * [simplify]: Extracting #0: cost 1 inf + 0 134.383 * * [simplify]: Extracting #1: cost 4 inf + 0 134.383 * * [simplify]: Extracting #2: cost 8 inf + 0 134.383 * * [simplify]: Extracting #3: cost 15 inf + 0 134.383 * * [simplify]: Extracting #4: cost 29 inf + 1 134.384 * * [simplify]: Extracting #5: cost 44 inf + 3 134.384 * * [simplify]: Extracting #6: cost 29 inf + 2662 134.385 * * [simplify]: Extracting #7: cost 6 inf + 7287 134.387 * * [simplify]: Extracting #8: cost 2 inf + 6879 134.389 * * [simplify]: Extracting #9: cost 0 inf + 7443 134.391 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) 134.391 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))))) 134.392 * * * * [progress]: [ 239 / 458 ] simplifiying candidate # 134.392 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 134.392 * * [simplify]: iters left: 6 (18 enodes) 134.403 * * [simplify]: iters left: 5 (69 enodes) 134.427 * * [simplify]: iters left: 4 (137 enodes) 134.471 * * [simplify]: iters left: 3 (284 enodes) 134.589 * * [simplify]: Extracting #0: cost 1 inf + 0 134.589 * * [simplify]: Extracting #1: cost 26 inf + 0 134.589 * * [simplify]: Extracting #2: cost 98 inf + 2 134.591 * * [simplify]: Extracting #3: cost 186 inf + 658 134.594 * * [simplify]: Extracting #4: cost 134 inf + 9870 134.604 * * [simplify]: Extracting #5: cost 76 inf + 22846 134.625 * * [simplify]: Extracting #6: cost 6 inf + 45281 134.645 * * [simplify]: Extracting #7: cost 0 inf + 47348 134.657 * [simplify]: Simplified to (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) 134.657 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (* (sqrt (+ 1 (* v v))) (sqrt (+ 1 (* v v)))))) 134.658 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (+ 1 (* v v)))) 134.658 * * [simplify]: iters left: 6 (6 enodes) 134.660 * * [simplify]: iters left: 5 (19 enodes) 134.663 * * [simplify]: iters left: 4 (22 enodes) 134.666 * * [simplify]: Extracting #0: cost 1 inf + 0 134.666 * * [simplify]: Extracting #1: cost 5 inf + 0 134.666 * * [simplify]: Extracting #2: cost 7 inf + 1 134.666 * * [simplify]: Extracting #3: cost 2 inf + 248 134.666 * * [simplify]: Extracting #4: cost 0 inf + 492 134.667 * [simplify]: Simplified to (+ 1 (* v v)) 134.667 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))) (+ 1 (* v v)))) 134.667 * * * * [progress]: [ 240 / 458 ] simplifiying candidate # 134.667 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 134.667 * * [simplify]: iters left: 6 (26 enodes) 134.683 * * [simplify]: iters left: 5 (114 enodes) 134.711 * * [simplify]: iters left: 4 (273 enodes) 134.819 * * [simplify]: Extracting #0: cost 1 inf + 0 134.819 * * [simplify]: Extracting #1: cost 4 inf + 0 134.819 * * [simplify]: Extracting #2: cost 8 inf + 0 134.819 * * [simplify]: Extracting #3: cost 32 inf + 0 134.819 * * [simplify]: Extracting #4: cost 96 inf + 1 134.820 * * [simplify]: Extracting #5: cost 123 inf + 291 134.821 * * [simplify]: Extracting #6: cost 162 inf + 2651 134.827 * * [simplify]: Extracting #7: cost 125 inf + 18258 134.845 * * [simplify]: Extracting #8: cost 23 inf + 42069 134.866 * * [simplify]: Extracting #9: cost 4 inf + 48173 134.888 * * [simplify]: Extracting #10: cost 0 inf + 49887 134.909 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 134.910 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 134.911 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 134.911 * * [simplify]: iters left: 6 (17 enodes) 134.922 * * [simplify]: iters left: 5 (73 enodes) 134.955 * * [simplify]: iters left: 4 (157 enodes) 134.995 * * [simplify]: iters left: 3 (243 enodes) 135.063 * * [simplify]: iters left: 2 (322 enodes) 135.193 * * [simplify]: iters left: 1 (379 enodes) 135.298 * * [simplify]: Extracting #0: cost 1 inf + 0 135.298 * * [simplify]: Extracting #1: cost 4 inf + 0 135.298 * * [simplify]: Extracting #2: cost 8 inf + 0 135.298 * * [simplify]: Extracting #3: cost 14 inf + 0 135.298 * * [simplify]: Extracting #4: cost 16 inf + 2 135.298 * * [simplify]: Extracting #5: cost 21 inf + 3 135.301 * * [simplify]: Extracting #6: cost 44 inf + 289 135.302 * * [simplify]: Extracting #7: cost 70 inf + 1147 135.306 * * [simplify]: Extracting #8: cost 29 inf + 9238 135.311 * * [simplify]: Extracting #9: cost 6 inf + 14157 135.315 * * [simplify]: Extracting #10: cost 0 inf + 15198 135.318 * * [simplify]: Extracting #11: cost 0 inf + 15158 135.321 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))) 135.321 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ 1 (* (* 3 (* v v)) (+ 1 (* 3 (* v v))))))))))) 135.321 * * * * [progress]: [ 241 / 458 ] simplifiying candidate # 135.322 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 135.322 * * [simplify]: iters left: 6 (25 enodes) 135.330 * * [simplify]: iters left: 5 (108 enodes) 135.356 * * [simplify]: iters left: 4 (236 enodes) 135.461 * * [simplify]: Extracting #0: cost 1 inf + 0 135.462 * * [simplify]: Extracting #1: cost 4 inf + 0 135.462 * * [simplify]: Extracting #2: cost 8 inf + 0 135.462 * * [simplify]: Extracting #3: cost 32 inf + 0 135.462 * * [simplify]: Extracting #4: cost 93 inf + 1 135.463 * * [simplify]: Extracting #5: cost 119 inf + 496 135.465 * * [simplify]: Extracting #6: cost 120 inf + 3788 135.472 * * [simplify]: Extracting #7: cost 60 inf + 18197 135.480 * * [simplify]: Extracting #8: cost 16 inf + 27663 135.488 * * [simplify]: Extracting #9: cost 2 inf + 32435 135.495 * * [simplify]: Extracting #10: cost 0 inf + 33605 135.503 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* (* v v) (* v v)) -9) 1))))) 135.504 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* (* v v) (* v v)) -9) 1))))) (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 135.504 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 135.504 * * [simplify]: iters left: 6 (13 enodes) 135.512 * * [simplify]: iters left: 5 (48 enodes) 135.523 * * [simplify]: iters left: 4 (54 enodes) 135.534 * * [simplify]: Extracting #0: cost 1 inf + 0 135.535 * * [simplify]: Extracting #1: cost 4 inf + 0 135.535 * * [simplify]: Extracting #2: cost 8 inf + 0 135.535 * * [simplify]: Extracting #3: cost 14 inf + 0 135.535 * * [simplify]: Extracting #4: cost 16 inf + 2 135.535 * * [simplify]: Extracting #5: cost 17 inf + 3 135.535 * * [simplify]: Extracting #6: cost 18 inf + 126 135.535 * * [simplify]: Extracting #7: cost 13 inf + 496 135.535 * * [simplify]: Extracting #8: cost 8 inf + 1028 135.536 * * [simplify]: Extracting #9: cost 1 inf + 2574 135.536 * * [simplify]: Extracting #10: cost 0 inf + 2938 135.537 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (+ 1 (* v v)))) 135.537 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (+ 1 (* v v)))))) 135.537 * * * * [progress]: [ 242 / 458 ] simplifiying candidate # 135.537 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 135.537 * * [simplify]: iters left: 6 (26 enodes) 135.546 * * [simplify]: iters left: 5 (116 enodes) 135.579 * * [simplify]: iters left: 4 (287 enodes) 135.681 * * [simplify]: Extracting #0: cost 1 inf + 0 135.681 * * [simplify]: Extracting #1: cost 4 inf + 0 135.681 * * [simplify]: Extracting #2: cost 8 inf + 0 135.681 * * [simplify]: Extracting #3: cost 39 inf + 0 135.682 * * [simplify]: Extracting #4: cost 116 inf + 1 135.683 * * [simplify]: Extracting #5: cost 143 inf + 332 135.685 * * [simplify]: Extracting #6: cost 173 inf + 4397 135.693 * * [simplify]: Extracting #7: cost 138 inf + 21257 135.705 * * [simplify]: Extracting #8: cost 49 inf + 39752 135.716 * * [simplify]: Extracting #9: cost 9 inf + 54263 135.733 * * [simplify]: Extracting #10: cost 0 inf + 57753 135.747 * [simplify]: Simplified to (* (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) 135.747 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 135.747 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 135.747 * * [simplify]: iters left: 6 (15 enodes) 135.758 * * [simplify]: iters left: 5 (66 enodes) 135.784 * * [simplify]: iters left: 4 (150 enodes) 135.830 * * [simplify]: iters left: 3 (236 enodes) 135.920 * * [simplify]: iters left: 2 (313 enodes) 136.014 * * [simplify]: iters left: 1 (371 enodes) 136.133 * * [simplify]: Extracting #0: cost 1 inf + 0 136.133 * * [simplify]: Extracting #1: cost 4 inf + 0 136.133 * * [simplify]: Extracting #2: cost 8 inf + 0 136.133 * * [simplify]: Extracting #3: cost 13 inf + 0 136.133 * * [simplify]: Extracting #4: cost 20 inf + 1 136.133 * * [simplify]: Extracting #5: cost 46 inf + 2 136.134 * * [simplify]: Extracting #6: cost 67 inf + 1430 136.135 * * [simplify]: Extracting #7: cost 35 inf + 6695 136.138 * * [simplify]: Extracting #8: cost 6 inf + 13160 136.141 * * [simplify]: Extracting #9: cost 0 inf + 14728 136.144 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))) 136.144 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4))))) (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))))))) 136.144 * * * * [progress]: [ 243 / 458 ] simplifiying candidate # 136.145 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 136.145 * * [simplify]: iters left: 6 (25 enodes) 136.160 * * [simplify]: iters left: 5 (110 enodes) 136.192 * * [simplify]: iters left: 4 (250 enodes) 136.260 * * [simplify]: Extracting #0: cost 1 inf + 0 136.261 * * [simplify]: Extracting #1: cost 4 inf + 0 136.261 * * [simplify]: Extracting #2: cost 8 inf + 0 136.261 * * [simplify]: Extracting #3: cost 39 inf + 0 136.261 * * [simplify]: Extracting #4: cost 113 inf + 1 136.261 * * [simplify]: Extracting #5: cost 141 inf + 250 136.262 * * [simplify]: Extracting #6: cost 139 inf + 4151 136.267 * * [simplify]: Extracting #7: cost 67 inf + 21128 136.274 * * [simplify]: Extracting #8: cost 25 inf + 31636 136.283 * * [simplify]: Extracting #9: cost 1 inf + 39812 136.295 * * [simplify]: Extracting #10: cost 0 inf + 40137 136.313 * * [simplify]: Extracting #11: cost 0 inf + 40097 136.322 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (/ 4 (- 1 (* v v)))))) 136.322 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (sqrt 2)) (/ 4 (- 1 (* v v)))))) (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 136.323 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 136.323 * * [simplify]: iters left: 6 (11 enodes) 136.326 * * [simplify]: iters left: 5 (41 enodes) 136.333 * * [simplify]: iters left: 4 (47 enodes) 136.340 * * [simplify]: Extracting #0: cost 1 inf + 0 136.340 * * [simplify]: Extracting #1: cost 4 inf + 0 136.340 * * [simplify]: Extracting #2: cost 8 inf + 0 136.341 * * [simplify]: Extracting #3: cost 13 inf + 0 136.341 * * [simplify]: Extracting #4: cost 16 inf + 1 136.341 * * [simplify]: Extracting #5: cost 18 inf + 2 136.341 * * [simplify]: Extracting #6: cost 15 inf + 168 136.341 * * [simplify]: Extracting #7: cost 7 inf + 864 136.341 * * [simplify]: Extracting #8: cost 3 inf + 1516 136.342 * * [simplify]: Extracting #9: cost 0 inf + 2365 136.342 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 136.342 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 136.342 * * * * [progress]: [ 244 / 458 ] simplifiying candidate # 136.342 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 136.343 * * [simplify]: iters left: 6 (22 enodes) 136.355 * * [simplify]: iters left: 5 (89 enodes) 136.386 * * [simplify]: iters left: 4 (176 enodes) 136.440 * * [simplify]: iters left: 3 (382 enodes) 136.610 * * [simplify]: Extracting #0: cost 1 inf + 0 136.610 * * [simplify]: Extracting #1: cost 4 inf + 0 136.610 * * [simplify]: Extracting #2: cost 8 inf + 0 136.610 * * [simplify]: Extracting #3: cost 46 inf + 0 136.611 * * [simplify]: Extracting #4: cost 165 inf + 2 136.612 * * [simplify]: Extracting #5: cost 242 inf + 1064 136.616 * * [simplify]: Extracting #6: cost 148 inf + 20386 136.631 * * [simplify]: Extracting #7: cost 22 inf + 55643 136.656 * * [simplify]: Extracting #8: cost 0 inf + 61256 136.676 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) 136.676 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* (sqrt (+ 1 (* v v))) (sqrt 4)))) 136.676 * [simplify]: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt 4)) 136.676 * * [simplify]: iters left: 6 (8 enodes) 136.679 * * [simplify]: iters left: 5 (29 enodes) 136.684 * * [simplify]: iters left: 4 (31 enodes) 136.694 * * [simplify]: Extracting #0: cost 1 inf + 0 136.694 * * [simplify]: Extracting #1: cost 4 inf + 0 136.694 * * [simplify]: Extracting #2: cost 5 inf + 1 136.694 * * [simplify]: Extracting #3: cost 8 inf + 1 136.694 * * [simplify]: Extracting #4: cost 9 inf + 2 136.694 * * [simplify]: Extracting #5: cost 8 inf + 3 136.695 * * [simplify]: Extracting #6: cost 1 inf + 656 136.695 * * [simplify]: Extracting #7: cost 0 inf + 819 136.695 * [simplify]: Simplified to (* 2 (sqrt (+ 1 (* v v)))) 136.695 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2))))) (* 2 (sqrt (+ 1 (* v v)))))) 136.696 * * * * [progress]: [ 245 / 458 ] simplifiying candidate # 136.696 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 136.696 * * [simplify]: iters left: 6 (20 enodes) 136.710 * * [simplify]: iters left: 5 (96 enodes) 136.750 * * [simplify]: iters left: 4 (247 enodes) 136.870 * * [simplify]: Extracting #0: cost 1 inf + 0 136.870 * * [simplify]: Extracting #1: cost 4 inf + 0 136.870 * * [simplify]: Extracting #2: cost 8 inf + 0 136.870 * * [simplify]: Extracting #3: cost 21 inf + 0 136.870 * * [simplify]: Extracting #4: cost 75 inf + 0 136.870 * * [simplify]: Extracting #5: cost 124 inf + 1058 136.872 * * [simplify]: Extracting #6: cost 150 inf + 6736 136.877 * * [simplify]: Extracting #7: cost 117 inf + 28645 136.887 * * [simplify]: Extracting #8: cost 13 inf + 53847 136.901 * * [simplify]: Extracting #9: cost 0 inf + 57971 136.929 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) 136.929 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 136.930 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 136.931 * * [simplify]: iters left: 6 (21 enodes) 136.944 * * [simplify]: iters left: 5 (97 enodes) 136.987 * * [simplify]: iters left: 4 (255 enodes) 137.092 * * [simplify]: Extracting #0: cost 1 inf + 0 137.092 * * [simplify]: Extracting #1: cost 4 inf + 0 137.092 * * [simplify]: Extracting #2: cost 8 inf + 0 137.092 * * [simplify]: Extracting #3: cost 30 inf + 0 137.092 * * [simplify]: Extracting #4: cost 71 inf + 2 137.093 * * [simplify]: Extracting #5: cost 93 inf + 126 137.094 * * [simplify]: Extracting #6: cost 93 inf + 2075 137.098 * * [simplify]: Extracting #7: cost 73 inf + 6146 137.108 * * [simplify]: Extracting #8: cost 18 inf + 20954 137.124 * * [simplify]: Extracting #9: cost 1 inf + 27578 137.132 * * [simplify]: Extracting #10: cost 0 inf + 28182 137.143 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (* (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1))))) 137.143 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v))))))) (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* 27 (* v (* v v))) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (* (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1))))))) 137.143 * * * * [progress]: [ 246 / 458 ] simplifiying candidate # 137.143 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 137.144 * * [simplify]: iters left: 6 (21 enodes) 137.151 * * [simplify]: iters left: 5 (94 enodes) 137.171 * * [simplify]: iters left: 4 (226 enodes) 137.272 * * [simplify]: Extracting #0: cost 1 inf + 0 137.272 * * [simplify]: Extracting #1: cost 4 inf + 0 137.272 * * [simplify]: Extracting #2: cost 8 inf + 0 137.272 * * [simplify]: Extracting #3: cost 23 inf + 0 137.273 * * [simplify]: Extracting #4: cost 63 inf + 0 137.274 * * [simplify]: Extracting #5: cost 80 inf + 490 137.275 * * [simplify]: Extracting #6: cost 114 inf + 3533 137.279 * * [simplify]: Extracting #7: cost 130 inf + 8570 137.286 * * [simplify]: Extracting #8: cost 45 inf + 24612 137.295 * * [simplify]: Extracting #9: cost 3 inf + 38976 137.304 * * [simplify]: Extracting #10: cost 0 inf + 40333 137.314 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 137.314 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 137.315 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 137.315 * * [simplify]: iters left: 6 (18 enodes) 137.322 * * [simplify]: iters left: 5 (85 enodes) 137.343 * * [simplify]: iters left: 4 (207 enodes) 137.389 * * [simplify]: iters left: 3 (333 enodes) 137.475 * * [simplify]: iters left: 2 (452 enodes) 137.592 * * [simplify]: iters left: 1 (491 enodes) 137.684 * * [simplify]: Extracting #0: cost 1 inf + 0 137.684 * * [simplify]: Extracting #1: cost 4 inf + 0 137.684 * * [simplify]: Extracting #2: cost 8 inf + 0 137.684 * * [simplify]: Extracting #3: cost 17 inf + 0 137.684 * * [simplify]: Extracting #4: cost 28 inf + 2 137.685 * * [simplify]: Extracting #5: cost 38 inf + 44 137.685 * * [simplify]: Extracting #6: cost 59 inf + 415 137.686 * * [simplify]: Extracting #7: cost 79 inf + 2045 137.688 * * [simplify]: Extracting #8: cost 44 inf + 9402 137.692 * * [simplify]: Extracting #9: cost 2 inf + 20826 137.697 * * [simplify]: Extracting #10: cost 0 inf + 20422 137.704 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4)) (sqrt (* (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4) (+ 1 (* v v))))) 137.704 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4)) (sqrt (* (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) 4) (+ 1 (* v v))))))) 137.705 * * * * [progress]: [ 247 / 458 ] simplifiying candidate # 137.705 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 137.705 * * [simplify]: iters left: 6 (25 enodes) 137.724 * * [simplify]: iters left: 5 (117 enodes) 137.754 * * [simplify]: iters left: 4 (295 enodes) 137.921 * * [simplify]: Extracting #0: cost 1 inf + 0 137.921 * * [simplify]: Extracting #1: cost 4 inf + 0 137.921 * * [simplify]: Extracting #2: cost 8 inf + 0 137.921 * * [simplify]: Extracting #3: cost 25 inf + 0 137.921 * * [simplify]: Extracting #4: cost 86 inf + 0 137.922 * * [simplify]: Extracting #5: cost 149 inf + 248 137.924 * * [simplify]: Extracting #6: cost 196 inf + 4275 137.932 * * [simplify]: Extracting #7: cost 155 inf + 19689 137.940 * * [simplify]: Extracting #8: cost 51 inf + 42018 137.955 * * [simplify]: Extracting #9: cost 20 inf + 52193 137.972 * * [simplify]: Extracting #10: cost 0 inf + 60146 137.996 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* -27 (* (* (* v v) (* v v)) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) 137.996 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -27 (* (* (* v v) (* v v)) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 137.997 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 137.998 * * [simplify]: iters left: 6 (24 enodes) 138.012 * * [simplify]: iters left: 5 (109 enodes) 138.060 * * [simplify]: iters left: 4 (253 enodes) 138.190 * * [simplify]: Extracting #0: cost 1 inf + 0 138.190 * * [simplify]: Extracting #1: cost 4 inf + 0 138.190 * * [simplify]: Extracting #2: cost 8 inf + 0 138.190 * * [simplify]: Extracting #3: cost 30 inf + 0 138.190 * * [simplify]: Extracting #4: cost 70 inf + 2 138.191 * * [simplify]: Extracting #5: cost 93 inf + 3 138.192 * * [simplify]: Extracting #6: cost 103 inf + 739 138.196 * * [simplify]: Extracting #7: cost 68 inf + 7285 138.209 * * [simplify]: Extracting #8: cost 8 inf + 20708 138.222 * * [simplify]: Extracting #9: cost 1 inf + 23133 138.235 * * [simplify]: Extracting #10: cost 0 inf + 23777 138.248 * [simplify]: Simplified to (* (sqrt (* (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) 138.248 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -27 (* (* (* v v) (* v v)) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* (* (* v v) (* v v)) (* v v))) (sqrt 2)) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))))) (* (sqrt (* (+ 4 (* 4 (+ (* (* v v) (* v v)) (* v v)))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))))) 138.249 * * * * [progress]: [ 248 / 458 ] simplifiying candidate # 138.249 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 138.250 * * [simplify]: iters left: 6 (25 enodes) 138.266 * * [simplify]: iters left: 5 (115 enodes) 138.311 * * [simplify]: iters left: 4 (274 enodes) 138.418 * * [simplify]: Extracting #0: cost 1 inf + 0 138.418 * * [simplify]: Extracting #1: cost 4 inf + 0 138.418 * * [simplify]: Extracting #2: cost 8 inf + 0 138.418 * * [simplify]: Extracting #3: cost 25 inf + 0 138.418 * * [simplify]: Extracting #4: cost 74 inf + 0 138.419 * * [simplify]: Extracting #5: cost 103 inf + 247 138.419 * * [simplify]: Extracting #6: cost 158 inf + 2037 138.422 * * [simplify]: Extracting #7: cost 147 inf + 14603 138.432 * * [simplify]: Extracting #8: cost 49 inf + 32036 138.441 * * [simplify]: Extracting #9: cost 18 inf + 39355 138.456 * * [simplify]: Extracting #10: cost 0 inf + 46245 138.477 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) 138.477 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 138.477 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 138.478 * * [simplify]: iters left: 6 (21 enodes) 138.491 * * [simplify]: iters left: 5 (96 enodes) 138.531 * * [simplify]: iters left: 4 (206 enodes) 138.600 * * [simplify]: iters left: 3 (345 enodes) 138.731 * * [simplify]: Extracting #0: cost 1 inf + 0 138.731 * * [simplify]: Extracting #1: cost 4 inf + 0 138.731 * * [simplify]: Extracting #2: cost 8 inf + 0 138.731 * * [simplify]: Extracting #3: cost 21 inf + 0 138.731 * * [simplify]: Extracting #4: cost 35 inf + 2 138.731 * * [simplify]: Extracting #5: cost 46 inf + 86 138.732 * * [simplify]: Extracting #6: cost 69 inf + 581 138.733 * * [simplify]: Extracting #7: cost 63 inf + 3230 138.735 * * [simplify]: Extracting #8: cost 20 inf + 10871 138.741 * * [simplify]: Extracting #9: cost 1 inf + 15058 138.745 * * [simplify]: Extracting #10: cost 0 inf + 15581 138.749 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ 1 (* v v))))) 138.750 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ 1 (* v v))))))) 138.750 * * * * [progress]: [ 249 / 458 ] simplifiying candidate # 138.750 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 138.750 * * [simplify]: iters left: 6 (23 enodes) 138.764 * * [simplify]: iters left: 5 (107 enodes) 138.809 * * [simplify]: iters left: 4 (270 enodes) 138.927 * * [simplify]: Extracting #0: cost 1 inf + 0 138.927 * * [simplify]: Extracting #1: cost 4 inf + 0 138.927 * * [simplify]: Extracting #2: cost 8 inf + 0 138.928 * * [simplify]: Extracting #3: cost 31 inf + 0 138.928 * * [simplify]: Extracting #4: cost 104 inf + 1 138.929 * * [simplify]: Extracting #5: cost 160 inf + 209 138.931 * * [simplify]: Extracting #6: cost 179 inf + 6119 138.942 * * [simplify]: Extracting #7: cost 130 inf + 36310 138.965 * * [simplify]: Extracting #8: cost 8 inf + 68900 138.984 * * [simplify]: Extracting #9: cost 0 inf + 65693 138.999 * * [simplify]: Extracting #10: cost 0 inf + 65273 139.026 * [simplify]: Simplified to (* (sqrt (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 139.026 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 139.026 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 139.027 * * [simplify]: iters left: 6 (21 enodes) 139.040 * * [simplify]: iters left: 5 (95 enodes) 139.079 * * [simplify]: iters left: 4 (217 enodes) 139.176 * * [simplify]: iters left: 3 (429 enodes) 139.362 * * [simplify]: Extracting #0: cost 1 inf + 0 139.362 * * [simplify]: Extracting #1: cost 4 inf + 0 139.362 * * [simplify]: Extracting #2: cost 8 inf + 0 139.362 * * [simplify]: Extracting #3: cost 19 inf + 0 139.362 * * [simplify]: Extracting #4: cost 40 inf + 2 139.363 * * [simplify]: Extracting #5: cost 58 inf + 3 139.363 * * [simplify]: Extracting #6: cost 69 inf + 1642 139.366 * * [simplify]: Extracting #7: cost 53 inf + 4060 139.372 * * [simplify]: Extracting #8: cost 17 inf + 11221 139.382 * * [simplify]: Extracting #9: cost 4 inf + 15450 139.393 * * [simplify]: Extracting #10: cost 1 inf + 16900 139.405 * * [simplify]: Extracting #11: cost 0 inf + 17464 139.417 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 139.417 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) 139.418 * * * * [progress]: [ 250 / 458 ] simplifiying candidate # 139.418 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 139.419 * * [simplify]: iters left: 6 (24 enodes) 139.434 * * [simplify]: iters left: 5 (105 enodes) 139.478 * * [simplify]: iters left: 4 (249 enodes) 139.579 * * [simplify]: Extracting #0: cost 1 inf + 0 139.579 * * [simplify]: Extracting #1: cost 4 inf + 0 139.580 * * [simplify]: Extracting #2: cost 8 inf + 0 139.581 * * [simplify]: Extracting #3: cost 33 inf + 0 139.581 * * [simplify]: Extracting #4: cost 94 inf + 1 139.582 * * [simplify]: Extracting #5: cost 110 inf + 414 139.583 * * [simplify]: Extracting #6: cost 146 inf + 2486 139.587 * * [simplify]: Extracting #7: cost 157 inf + 7978 139.599 * * [simplify]: Extracting #8: cost 70 inf + 27120 139.621 * * [simplify]: Extracting #9: cost 3 inf + 49466 139.643 * * [simplify]: Extracting #10: cost 0 inf + 50747 139.666 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))) (/ (sqrt 2) 4)))) 139.666 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))) (/ (sqrt 2) 4)))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 139.667 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 139.667 * * [simplify]: iters left: 6 (18 enodes) 139.679 * * [simplify]: iters left: 5 (83 enodes) 139.713 * * [simplify]: iters left: 4 (177 enodes) 139.768 * * [simplify]: iters left: 3 (283 enodes) 139.873 * * [simplify]: iters left: 2 (359 enodes) 139.977 * * [simplify]: iters left: 1 (399 enodes) 140.091 * * [simplify]: Extracting #0: cost 1 inf + 0 140.091 * * [simplify]: Extracting #1: cost 4 inf + 0 140.091 * * [simplify]: Extracting #2: cost 8 inf + 0 140.091 * * [simplify]: Extracting #3: cost 15 inf + 0 140.091 * * [simplify]: Extracting #4: cost 20 inf + 2 140.092 * * [simplify]: Extracting #5: cost 26 inf + 44 140.092 * * [simplify]: Extracting #6: cost 50 inf + 249 140.093 * * [simplify]: Extracting #7: cost 73 inf + 1634 140.098 * * [simplify]: Extracting #8: cost 38 inf + 8381 140.105 * * [simplify]: Extracting #9: cost 13 inf + 14064 140.534 * * [simplify]: Extracting #10: cost 1 inf + 17748 140.541 * * [simplify]: Extracting #11: cost 0 inf + 17800 140.548 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1))))) 140.548 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1))) (/ (sqrt 2) 4)))) (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1))))))) 140.549 * * * * [progress]: [ 251 / 458 ] simplifiying candidate # 140.549 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 140.549 * * [simplify]: iters left: 6 (27 enodes) 140.567 * * [simplify]: iters left: 5 (125 enodes) 140.619 * * [simplify]: iters left: 4 (315 enodes) 140.783 * * [simplify]: Extracting #0: cost 1 inf + 0 140.783 * * [simplify]: Extracting #1: cost 4 inf + 0 140.783 * * [simplify]: Extracting #2: cost 8 inf + 0 140.784 * * [simplify]: Extracting #3: cost 34 inf + 0 140.784 * * [simplify]: Extracting #4: cost 110 inf + 1 140.785 * * [simplify]: Extracting #5: cost 172 inf + 250 140.788 * * [simplify]: Extracting #6: cost 214 inf + 5684 140.796 * * [simplify]: Extracting #7: cost 164 inf + 21687 140.813 * * [simplify]: Extracting #8: cost 71 inf + 41761 140.835 * * [simplify]: Extracting #9: cost 18 inf + 59747 140.850 * * [simplify]: Extracting #10: cost 0 inf + 68471 140.865 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 140.865 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 140.865 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 140.866 * * [simplify]: iters left: 6 (23 enodes) 140.879 * * [simplify]: iters left: 5 (103 enodes) 140.923 * * [simplify]: iters left: 4 (211 enodes) 140.988 * * [simplify]: iters left: 3 (394 enodes) 141.156 * * [simplify]: Extracting #0: cost 1 inf + 0 141.156 * * [simplify]: Extracting #1: cost 4 inf + 0 141.156 * * [simplify]: Extracting #2: cost 8 inf + 0 141.156 * * [simplify]: Extracting #3: cost 20 inf + 0 141.156 * * [simplify]: Extracting #4: cost 42 inf + 2 141.157 * * [simplify]: Extracting #5: cost 58 inf + 215 141.157 * * [simplify]: Extracting #6: cost 77 inf + 1472 141.158 * * [simplify]: Extracting #7: cost 64 inf + 4090 141.161 * * [simplify]: Extracting #8: cost 14 inf + 13570 141.166 * * [simplify]: Extracting #9: cost 1 inf + 17290 141.171 * * [simplify]: Extracting #10: cost 0 inf + 17653 141.176 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (+ (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))))) 141.176 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (+ (sqrt (+ 1 (* 3 (* v v)))) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))))))) 141.176 * * * * [progress]: [ 252 / 458 ] simplifiying candidate # 141.177 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 141.177 * * [simplify]: iters left: 6 (27 enodes) 141.192 * * [simplify]: iters left: 5 (123 enodes) 141.224 * * [simplify]: iters left: 4 (294 enodes) 141.329 * * [simplify]: Extracting #0: cost 1 inf + 0 141.329 * * [simplify]: Extracting #1: cost 4 inf + 0 141.329 * * [simplify]: Extracting #2: cost 8 inf + 0 141.329 * * [simplify]: Extracting #3: cost 34 inf + 0 141.329 * * [simplify]: Extracting #4: cost 95 inf + 1 141.330 * * [simplify]: Extracting #5: cost 121 inf + 572 141.331 * * [simplify]: Extracting #6: cost 174 inf + 3132 141.334 * * [simplify]: Extracting #7: cost 161 inf + 13552 141.346 * * [simplify]: Extracting #8: cost 56 inf + 32843 141.366 * * [simplify]: Extracting #9: cost 17 inf + 45080 141.393 * * [simplify]: Extracting #10: cost 0 inf + 52341 141.412 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))) (/ 4 (- 1 (* (* v v) (* v v))))))) 141.412 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 141.413 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 141.413 * * [simplify]: iters left: 6 (20 enodes) 141.420 * * [simplify]: iters left: 5 (90 enodes) 141.440 * * [simplify]: iters left: 4 (172 enodes) 141.488 * * [simplify]: iters left: 3 (277 enodes) 141.596 * * [simplify]: iters left: 2 (388 enodes) 141.757 * * [simplify]: iters left: 1 (481 enodes) 141.867 * * [simplify]: Extracting #0: cost 1 inf + 0 141.867 * * [simplify]: Extracting #1: cost 4 inf + 0 141.867 * * [simplify]: Extracting #2: cost 8 inf + 0 141.867 * * [simplify]: Extracting #3: cost 16 inf + 0 141.867 * * [simplify]: Extracting #4: cost 23 inf + 2 141.867 * * [simplify]: Extracting #5: cost 29 inf + 44 141.867 * * [simplify]: Extracting #6: cost 56 inf + 167 141.868 * * [simplify]: Extracting #7: cost 77 inf + 1313 141.870 * * [simplify]: Extracting #8: cost 42 inf + 7040 141.873 * * [simplify]: Extracting #9: cost 8 inf + 15236 141.876 * * [simplify]: Extracting #10: cost 0 inf + 18029 141.879 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* v v) (+ 3 (* (* v v) 9))) 1)) 4))) 141.879 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* (* (* v v) (* v v)) -9)))) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* v v) (+ 3 (* (* v v) 9))) 1)) 4))))) 141.880 * * * * [progress]: [ 253 / 458 ] simplifiying candidate # 141.880 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 141.880 * * [simplify]: iters left: 6 (23 enodes) 141.889 * * [simplify]: iters left: 5 (108 enodes) 141.913 * * [simplify]: iters left: 4 (274 enodes) 142.032 * * [simplify]: Extracting #0: cost 1 inf + 0 142.032 * * [simplify]: Extracting #1: cost 4 inf + 0 142.033 * * [simplify]: Extracting #2: cost 8 inf + 0 142.033 * * [simplify]: Extracting #3: cost 23 inf + 0 142.033 * * [simplify]: Extracting #4: cost 84 inf + 0 142.034 * * [simplify]: Extracting #5: cost 148 inf + 208 142.036 * * [simplify]: Extracting #6: cost 175 inf + 5622 142.043 * * [simplify]: Extracting #7: cost 144 inf + 22322 142.060 * * [simplify]: Extracting #8: cost 23 inf + 52281 142.076 * * [simplify]: Extracting #9: cost 0 inf + 58046 142.087 * * [simplify]: Extracting #10: cost 0 inf + 57836 142.098 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) 142.098 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 142.099 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 142.099 * * [simplify]: iters left: 6 (21 enodes) 142.113 * * [simplify]: iters left: 5 (95 enodes) 142.138 * * [simplify]: iters left: 4 (217 enodes) 142.227 * * [simplify]: iters left: 3 (401 enodes) 142.378 * * [simplify]: Extracting #0: cost 1 inf + 0 142.378 * * [simplify]: Extracting #1: cost 4 inf + 0 142.378 * * [simplify]: Extracting #2: cost 8 inf + 0 142.378 * * [simplify]: Extracting #3: cost 18 inf + 0 142.378 * * [simplify]: Extracting #4: cost 43 inf + 1 142.378 * * [simplify]: Extracting #5: cost 58 inf + 128 142.379 * * [simplify]: Extracting #6: cost 61 inf + 2631 142.381 * * [simplify]: Extracting #7: cost 36 inf + 6747 142.384 * * [simplify]: Extracting #8: cost 4 inf + 11885 142.387 * * [simplify]: Extracting #9: cost 0 inf + 13007 142.391 * * [simplify]: Extracting #10: cost 0 inf + 12887 142.395 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (+ (* 4 (+ (* (* v v) (* v v)) (* v v))) 4))) 142.395 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* (* v v) (* v v)) (* v v)))))) (* (sqrt (* (sqrt (+ (+ (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)) 1)) 4)) (sqrt (+ (* 4 (+ (* (* v v) (* v v)) (* v v))) 4))))) 142.395 * * * * [progress]: [ 254 / 458 ] simplifiying candidate # 142.395 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 142.396 * * [simplify]: iters left: 6 (24 enodes) 142.404 * * [simplify]: iters left: 5 (106 enodes) 142.449 * * [simplify]: iters left: 4 (253 enodes) 142.549 * * [simplify]: Extracting #0: cost 1 inf + 0 142.549 * * [simplify]: Extracting #1: cost 4 inf + 0 142.549 * * [simplify]: Extracting #2: cost 8 inf + 0 142.549 * * [simplify]: Extracting #3: cost 25 inf + 0 142.550 * * [simplify]: Extracting #4: cost 74 inf + 0 142.550 * * [simplify]: Extracting #5: cost 102 inf + 368 142.555 * * [simplify]: Extracting #6: cost 141 inf + 3345 142.561 * * [simplify]: Extracting #7: cost 104 inf + 25399 142.568 * * [simplify]: Extracting #8: cost 24 inf + 39256 142.578 * * [simplify]: Extracting #9: cost 3 inf + 43401 142.587 * * [simplify]: Extracting #10: cost 0 inf + 44611 142.604 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) 142.605 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ 1 (* v v))))))) 142.605 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ 1 (* v v))))) 142.605 * * [simplify]: iters left: 6 (18 enodes) 142.612 * * [simplify]: iters left: 5 (83 enodes) 142.629 * * [simplify]: iters left: 4 (177 enodes) 142.687 * * [simplify]: iters left: 3 (266 enodes) 142.786 * * [simplify]: iters left: 2 (341 enodes) 142.879 * * [simplify]: iters left: 1 (383 enodes) 142.975 * * [simplify]: Extracting #0: cost 1 inf + 0 142.975 * * [simplify]: Extracting #1: cost 4 inf + 0 142.975 * * [simplify]: Extracting #2: cost 8 inf + 0 142.975 * * [simplify]: Extracting #3: cost 15 inf + 0 142.975 * * [simplify]: Extracting #4: cost 20 inf + 2 142.975 * * [simplify]: Extracting #5: cost 25 inf + 86 142.975 * * [simplify]: Extracting #6: cost 43 inf + 903 142.976 * * [simplify]: Extracting #7: cost 66 inf + 2407 142.978 * * [simplify]: Extracting #8: cost 34 inf + 7892 142.981 * * [simplify]: Extracting #9: cost 15 inf + 11689 142.984 * * [simplify]: Extracting #10: cost 0 inf + 16192 142.987 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (+ (* (* v 4) v) 4))) 142.987 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (+ (* (* v 4) v) 4))))) 142.987 * * * * [progress]: [ 255 / 458 ] simplifiying candidate # 142.987 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 142.988 * * [simplify]: iters left: 6 (25 enodes) 142.996 * * [simplify]: iters left: 5 (116 enodes) 143.045 * * [simplify]: iters left: 4 (294 enodes) 143.155 * * [simplify]: Extracting #0: cost 1 inf + 0 143.155 * * [simplify]: Extracting #1: cost 4 inf + 0 143.155 * * [simplify]: Extracting #2: cost 8 inf + 0 143.155 * * [simplify]: Extracting #3: cost 34 inf + 0 143.156 * * [simplify]: Extracting #4: cost 107 inf + 1 143.157 * * [simplify]: Extracting #5: cost 168 inf + 250 143.159 * * [simplify]: Extracting #6: cost 199 inf + 4612 143.169 * * [simplify]: Extracting #7: cost 146 inf + 26478 143.193 * * [simplify]: Extracting #8: cost 14 inf + 60916 143.218 * * [simplify]: Extracting #9: cost 0 inf + 65596 143.247 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) 143.248 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 143.248 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 143.249 * * [simplify]: iters left: 6 (20 enodes) 143.261 * * [simplify]: iters left: 5 (85 enodes) 143.280 * * [simplify]: iters left: 4 (185 enodes) 143.357 * * [simplify]: iters left: 3 (301 enodes) 143.458 * * [simplify]: iters left: 2 (379 enodes) 143.568 * * [simplify]: iters left: 1 (426 enodes) 143.669 * * [simplify]: Extracting #0: cost 1 inf + 0 143.669 * * [simplify]: Extracting #1: cost 4 inf + 0 143.669 * * [simplify]: Extracting #2: cost 8 inf + 0 143.669 * * [simplify]: Extracting #3: cost 18 inf + 0 143.669 * * [simplify]: Extracting #4: cost 30 inf + 2 143.669 * * [simplify]: Extracting #5: cost 48 inf + 3 143.670 * * [simplify]: Extracting #6: cost 64 inf + 919 143.671 * * [simplify]: Extracting #7: cost 42 inf + 7500 143.674 * * [simplify]: Extracting #8: cost 8 inf + 14291 143.677 * * [simplify]: Extracting #9: cost 0 inf + 16682 143.680 * [simplify]: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4))) 143.680 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ 1 (* (* v v) 3))) 1)) 4))))) 143.681 * * * * [progress]: [ 256 / 458 ] simplifiying candidate # 143.681 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 143.681 * * [simplify]: iters left: 6 (26 enodes) 143.689 * * [simplify]: iters left: 5 (114 enodes) 143.717 * * [simplify]: iters left: 4 (273 enodes) 143.825 * * [simplify]: Extracting #0: cost 1 inf + 0 143.825 * * [simplify]: Extracting #1: cost 4 inf + 0 143.825 * * [simplify]: Extracting #2: cost 8 inf + 0 143.825 * * [simplify]: Extracting #3: cost 32 inf + 0 143.826 * * [simplify]: Extracting #4: cost 93 inf + 1 143.826 * * [simplify]: Extracting #5: cost 121 inf + 249 143.828 * * [simplify]: Extracting #6: cost 158 inf + 3714 143.836 * * [simplify]: Extracting #7: cost 132 inf + 18529 143.853 * * [simplify]: Extracting #8: cost 26 inf + 40580 143.874 * * [simplify]: Extracting #9: cost 1 inf + 49432 143.895 * * [simplify]: Extracting #10: cost 0 inf + 49765 143.916 * [simplify]: Simplified to (* (sqrt (* (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* v v)))))) 143.916 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (+ 1 (* v v)))))) 143.917 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (+ 1 (* v v)))) 143.917 * * [simplify]: iters left: 6 (17 enodes) 143.926 * * [simplify]: iters left: 5 (73 enodes) 143.944 * * [simplify]: iters left: 4 (157 enodes) 143.994 * * [simplify]: iters left: 3 (243 enodes) 144.080 * * [simplify]: iters left: 2 (328 enodes) 144.163 * * [simplify]: iters left: 1 (379 enodes) 144.271 * * [simplify]: Extracting #0: cost 1 inf + 0 144.271 * * [simplify]: Extracting #1: cost 4 inf + 0 144.271 * * [simplify]: Extracting #2: cost 8 inf + 0 144.271 * * [simplify]: Extracting #3: cost 14 inf + 0 144.271 * * [simplify]: Extracting #4: cost 16 inf + 2 144.271 * * [simplify]: Extracting #5: cost 20 inf + 44 144.271 * * [simplify]: Extracting #6: cost 44 inf + 371 144.272 * * [simplify]: Extracting #7: cost 64 inf + 1595 144.274 * * [simplify]: Extracting #8: cost 38 inf + 6421 144.276 * * [simplify]: Extracting #9: cost 14 inf + 11995 144.279 * * [simplify]: Extracting #10: cost 0 inf + 15325 144.284 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (+ 1 (* v v)))) 144.284 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (/ (* (- 1 (* (* v v) (* v v))) (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (+ 1 (* 3 (* v v)))) 1)) 4)) (sqrt (+ 1 (* v v)))))) 144.284 * * * * [progress]: [ 257 / 458 ] simplifiying candidate # 144.285 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 144.285 * * [simplify]: iters left: 6 (16 enodes) 144.291 * * [simplify]: iters left: 5 (70 enodes) 144.307 * * [simplify]: iters left: 4 (174 enodes) 144.396 * * [simplify]: Extracting #0: cost 1 inf + 0 144.396 * * [simplify]: Extracting #1: cost 10 inf + 0 144.396 * * [simplify]: Extracting #2: cost 36 inf + 0 144.396 * * [simplify]: Extracting #3: cost 45 inf + 44 144.397 * * [simplify]: Extracting #4: cost 99 inf + 331 144.398 * * [simplify]: Extracting #5: cost 130 inf + 1515 144.403 * * [simplify]: Extracting #6: cost 60 inf + 11424 144.409 * * [simplify]: Extracting #7: cost 7 inf + 25938 144.415 * * [simplify]: Extracting #8: cost 1 inf + 28288 144.421 * * [simplify]: Extracting #9: cost 0 inf + 28732 144.427 * [simplify]: Simplified to (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))) (sqrt 2)) 144.427 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))) (sqrt 2)) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 144.428 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 144.428 * * [simplify]: iters left: 6 (15 enodes) 144.433 * * [simplify]: iters left: 5 (63 enodes) 144.447 * * [simplify]: iters left: 4 (148 enodes) 144.498 * * [simplify]: iters left: 3 (236 enodes) 144.597 * * [simplify]: iters left: 2 (311 enodes) 144.694 * * [simplify]: iters left: 1 (349 enodes) 144.817 * * [simplify]: Extracting #0: cost 1 inf + 0 144.817 * * [simplify]: Extracting #1: cost 5 inf + 0 144.817 * * [simplify]: Extracting #2: cost 7 inf + 1 144.817 * * [simplify]: Extracting #3: cost 14 inf + 1 144.818 * * [simplify]: Extracting #4: cost 42 inf + 2 144.818 * * [simplify]: Extracting #5: cost 73 inf + 422 144.820 * * [simplify]: Extracting #6: cost 48 inf + 3340 144.824 * * [simplify]: Extracting #7: cost 11 inf + 11449 144.830 * * [simplify]: Extracting #8: cost 0 inf + 14284 144.835 * * [simplify]: Extracting #9: cost 0 inf + 14164 144.840 * [simplify]: Simplified to (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4) 144.840 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27)))) (sqrt 2)) (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) 144.841 * * * * [progress]: [ 258 / 458 ] simplifiying candidate # 144.841 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 144.841 * * [simplify]: iters left: 6 (23 enodes) 144.850 * * [simplify]: iters left: 5 (104 enodes) 144.872 * * [simplify]: iters left: 4 (253 enodes) 144.956 * * [simplify]: Extracting #0: cost 1 inf + 0 144.956 * * [simplify]: Extracting #1: cost 4 inf + 0 144.956 * * [simplify]: Extracting #2: cost 8 inf + 0 144.956 * * [simplify]: Extracting #3: cost 23 inf + 0 144.956 * * [simplify]: Extracting #4: cost 60 inf + 0 144.957 * * [simplify]: Extracting #5: cost 78 inf + 85 144.957 * * [simplify]: Extracting #6: cost 142 inf + 1104 144.958 * * [simplify]: Extracting #7: cost 168 inf + 2901 144.962 * * [simplify]: Extracting #8: cost 71 inf + 20677 144.974 * * [simplify]: Extracting #9: cost 10 inf + 37290 144.983 * * [simplify]: Extracting #10: cost 0 inf + 41185 144.994 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* (* (* v v) -9) (* v v)) 1)) (* (sqrt 2) (- 1 (* v v)))))) 144.994 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* (* (* v v) -9) (* v v)) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 144.994 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 144.995 * * [simplify]: iters left: 6 (19 enodes) 145.006 * * [simplify]: iters left: 5 (80 enodes) 145.037 * * [simplify]: iters left: 4 (152 enodes) 145.104 * * [simplify]: iters left: 3 (235 enodes) 145.191 * * [simplify]: iters left: 2 (350 enodes) 145.310 * * [simplify]: iters left: 1 (474 enodes) 145.433 * * [simplify]: Extracting #0: cost 1 inf + 0 145.433 * * [simplify]: Extracting #1: cost 4 inf + 0 145.433 * * [simplify]: Extracting #2: cost 8 inf + 0 145.434 * * [simplify]: Extracting #3: cost 13 inf + 0 145.434 * * [simplify]: Extracting #4: cost 16 inf + 1 145.434 * * [simplify]: Extracting #5: cost 23 inf + 1 145.434 * * [simplify]: Extracting #6: cost 51 inf + 2 145.434 * * [simplify]: Extracting #7: cost 71 inf + 1065 145.436 * * [simplify]: Extracting #8: cost 43 inf + 6278 145.438 * * [simplify]: Extracting #9: cost 20 inf + 10674 145.442 * * [simplify]: Extracting #10: cost 0 inf + 16259 145.445 * * [simplify]: Extracting #11: cost 0 inf + 16219 145.449 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (sqrt (+ (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)) 1)) 4))) 145.449 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) (* v v)) (* v v)) 27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* (* (* v v) -9) (* v v)) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (sqrt (+ (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v)) 1)) 4))))) 145.449 * * * * [progress]: [ 259 / 458 ] simplifiying candidate # 145.450 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 145.450 * * [simplify]: iters left: 6 (21 enodes) 145.464 * * [simplify]: iters left: 5 (92 enodes) 145.499 * * [simplify]: iters left: 4 (211 enodes) 145.610 * * [simplify]: Extracting #0: cost 1 inf + 0 145.610 * * [simplify]: Extracting #1: cost 4 inf + 0 145.610 * * [simplify]: Extracting #2: cost 8 inf + 0 145.610 * * [simplify]: Extracting #3: cost 31 inf + 0 145.611 * * [simplify]: Extracting #4: cost 72 inf + 1 145.611 * * [simplify]: Extracting #5: cost 81 inf + 86 145.612 * * [simplify]: Extracting #6: cost 125 inf + 1433 145.615 * * [simplify]: Extracting #7: cost 144 inf + 5138 145.623 * * [simplify]: Extracting #8: cost 61 inf + 23330 145.641 * * [simplify]: Extracting #9: cost 1 inf + 40623 145.659 * * [simplify]: Extracting #10: cost 0 inf + 40984 145.680 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)))) (sqrt (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (* (sqrt 2) (- 1 (* v v))))))) 145.680 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)))) (sqrt (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (* (sqrt 2) (- 1 (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 145.681 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 145.681 * * [simplify]: iters left: 6 (16 enodes) 145.692 * * [simplify]: iters left: 5 (69 enodes) 145.720 * * [simplify]: iters left: 4 (153 enodes) 145.785 * * [simplify]: iters left: 3 (243 enodes) 145.873 * * [simplify]: iters left: 2 (319 enodes) 145.954 * * [simplify]: iters left: 1 (364 enodes) 146.041 * * [simplify]: Extracting #0: cost 1 inf + 0 146.041 * * [simplify]: Extracting #1: cost 4 inf + 0 146.041 * * [simplify]: Extracting #2: cost 8 inf + 0 146.041 * * [simplify]: Extracting #3: cost 12 inf + 0 146.041 * * [simplify]: Extracting #4: cost 18 inf + 1 146.041 * * [simplify]: Extracting #5: cost 46 inf + 2 146.041 * * [simplify]: Extracting #6: cost 75 inf + 455 146.043 * * [simplify]: Extracting #7: cost 45 inf + 4730 146.045 * * [simplify]: Extracting #8: cost 6 inf + 13737 146.048 * * [simplify]: Extracting #9: cost 0 inf + 15538 146.051 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) 146.051 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)))) (sqrt (/ (sqrt (+ (* -27 (* (* v (* v v)) (* v (* v v)))) 1)) (/ 4 (* (sqrt 2) (- 1 (* v v))))))) (* (sqrt (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1))) (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))))) 146.051 * * * * [progress]: [ 260 / 458 ] simplifiying candidate # 146.051 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 146.051 * * [simplify]: iters left: 6 (25 enodes) 146.061 * * [simplify]: iters left: 5 (112 enodes) 146.098 * * [simplify]: iters left: 4 (275 enodes) 146.198 * * [simplify]: Extracting #0: cost 1 inf + 0 146.199 * * [simplify]: Extracting #1: cost 4 inf + 0 146.199 * * [simplify]: Extracting #2: cost 8 inf + 0 146.199 * * [simplify]: Extracting #3: cost 32 inf + 0 146.199 * * [simplify]: Extracting #4: cost 84 inf + 1 146.200 * * [simplify]: Extracting #5: cost 98 inf + 493 146.201 * * [simplify]: Extracting #6: cost 162 inf + 1636 146.206 * * [simplify]: Extracting #7: cost 151 inf + 13364 146.223 * * [simplify]: Extracting #8: cost 56 inf + 31444 146.233 * * [simplify]: Extracting #9: cost 24 inf + 38105 146.243 * * [simplify]: Extracting #10: cost 1 inf + 47132 146.254 * * [simplify]: Extracting #11: cost 0 inf + 47716 146.274 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* (* v v) (* (* v v) -9)) 1))))) 146.274 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* (* v v) (* (* v v) -9)) 1))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 146.274 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 146.274 * * [simplify]: iters left: 6 (18 enodes) 146.281 * * [simplify]: iters left: 5 (76 enodes) 146.297 * * [simplify]: iters left: 4 (149 enodes) 146.356 * * [simplify]: iters left: 3 (232 enodes) 146.446 * * [simplify]: iters left: 2 (339 enodes) 146.635 * * [simplify]: iters left: 1 (441 enodes) 146.747 * * [simplify]: Extracting #0: cost 1 inf + 0 146.747 * * [simplify]: Extracting #1: cost 4 inf + 0 146.747 * * [simplify]: Extracting #2: cost 8 inf + 0 146.747 * * [simplify]: Extracting #3: cost 13 inf + 0 146.747 * * [simplify]: Extracting #4: cost 17 inf + 1 146.748 * * [simplify]: Extracting #5: cost 25 inf + 2 146.748 * * [simplify]: Extracting #6: cost 48 inf + 45 146.749 * * [simplify]: Extracting #7: cost 68 inf + 1226 146.751 * * [simplify]: Extracting #8: cost 41 inf + 6300 146.754 * * [simplify]: Extracting #9: cost 18 inf + 11023 146.757 * * [simplify]: Extracting #10: cost 0 inf + 15649 146.760 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 146.760 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* (* v v) (* (* v v) -9)) 1))))) (* (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4)) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 146.760 * * * * [progress]: [ 261 / 458 ] simplifiying candidate # 146.761 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 146.761 * * [simplify]: iters left: 6 (21 enodes) 146.768 * * [simplify]: iters left: 5 (94 enodes) 146.788 * * [simplify]: iters left: 4 (226 enodes) 146.891 * * [simplify]: Extracting #0: cost 1 inf + 0 146.891 * * [simplify]: Extracting #1: cost 4 inf + 0 146.891 * * [simplify]: Extracting #2: cost 8 inf + 0 146.891 * * [simplify]: Extracting #3: cost 25 inf + 0 146.891 * * [simplify]: Extracting #4: cost 62 inf + 0 146.891 * * [simplify]: Extracting #5: cost 79 inf + 167 146.892 * * [simplify]: Extracting #6: cost 131 inf + 1144 146.893 * * [simplify]: Extracting #7: cost 140 inf + 7084 146.898 * * [simplify]: Extracting #8: cost 52 inf + 23837 146.906 * * [simplify]: Extracting #9: cost 5 inf + 36657 146.914 * * [simplify]: Extracting #10: cost 0 inf + 38664 146.929 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* v v) -3) 1))))) 146.929 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* v v) -3) 1))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4)))) 146.930 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4)) 146.930 * * [simplify]: iters left: 6 (16 enodes) 146.945 * * [simplify]: iters left: 5 (70 enodes) 146.973 * * [simplify]: iters left: 4 (154 enodes) 147.022 * * [simplify]: iters left: 3 (244 enodes) 147.138 * * [simplify]: iters left: 2 (332 enodes) 147.258 * * [simplify]: iters left: 1 (392 enodes) 147.344 * * [simplify]: Extracting #0: cost 1 inf + 0 147.344 * * [simplify]: Extracting #1: cost 4 inf + 0 147.344 * * [simplify]: Extracting #2: cost 5 inf + 1 147.344 * * [simplify]: Extracting #3: cost 8 inf + 1 147.344 * * [simplify]: Extracting #4: cost 9 inf + 2 147.344 * * [simplify]: Extracting #5: cost 16 inf + 2 147.344 * * [simplify]: Extracting #6: cost 45 inf + 3 147.344 * * [simplify]: Extracting #7: cost 70 inf + 902 147.346 * * [simplify]: Extracting #8: cost 34 inf + 7865 147.349 * * [simplify]: Extracting #9: cost 16 inf + 11471 147.351 * * [simplify]: Extracting #10: cost 1 inf + 15642 147.355 * * [simplify]: Extracting #11: cost 0 inf + 15854 147.357 * [simplify]: Simplified to (* 2 (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))) 147.357 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* (* v v) (* v v)) (* v v)) -27) 1)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* v v) -3) 1))))) (* 2 (sqrt (* (sqrt (+ (* (+ 1 (* 3 (* v v))) (* 3 (* v v))) 1)) 4))))) 147.358 * * * * [progress]: [ 262 / 458 ] simplifiying candidate # 147.358 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 147.358 * * [simplify]: iters left: 6 (25 enodes) 147.366 * * [simplify]: iters left: 5 (117 enodes) 147.409 * * [simplify]: iters left: 4 (295 enodes) 147.569 * * [simplify]: Extracting #0: cost 1 inf + 0 147.570 * * [simplify]: Extracting #1: cost 4 inf + 0 147.570 * * [simplify]: Extracting #2: cost 8 inf + 0 147.570 * * [simplify]: Extracting #3: cost 25 inf + 0 147.570 * * [simplify]: Extracting #4: cost 86 inf + 0 147.570 * * [simplify]: Extracting #5: cost 149 inf + 248 147.572 * * [simplify]: Extracting #6: cost 197 inf + 4467 147.575 * * [simplify]: Extracting #7: cost 169 inf + 16471 147.584 * * [simplify]: Extracting #8: cost 54 inf + 42050 147.602 * * [simplify]: Extracting #9: cost 1 inf + 61149 147.627 * * [simplify]: Extracting #10: cost 0 inf + 61432 147.652 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* (* (* (* v v) (* v v)) (* v v)) -27))))))) 147.652 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* (* (* (* v v) (* v v)) (* v v)) -27))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 147.653 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 147.654 * * [simplify]: iters left: 6 (24 enodes) 147.664 * * [simplify]: iters left: 5 (109 enodes) 147.694 * * [simplify]: iters left: 4 (254 enodes) 147.804 * * [simplify]: Extracting #0: cost 1 inf + 0 147.805 * * [simplify]: Extracting #1: cost 4 inf + 0 147.805 * * [simplify]: Extracting #2: cost 8 inf + 0 147.805 * * [simplify]: Extracting #3: cost 29 inf + 0 147.805 * * [simplify]: Extracting #4: cost 68 inf + 2 147.805 * * [simplify]: Extracting #5: cost 91 inf + 3 147.806 * * [simplify]: Extracting #6: cost 104 inf + 576 147.807 * * [simplify]: Extracting #7: cost 81 inf + 4362 147.814 * * [simplify]: Extracting #8: cost 26 inf + 16974 147.830 * * [simplify]: Extracting #9: cost 1 inf + 26729 147.847 * * [simplify]: Extracting #10: cost 0 inf + 26134 147.863 * * [simplify]: Extracting #11: cost 0 inf + 26094 147.877 * [simplify]: Simplified to (* (sqrt (* 4 (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 9 (* v v)) (* v v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) 147.877 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* (* (* (* v v) (* v v)) (* v v)) -27))))))) (* (sqrt (* 4 (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 9 (* v v)) (* v v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))))) 147.877 * * * * [progress]: [ 263 / 458 ] simplifiying candidate # 147.878 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 147.878 * * [simplify]: iters left: 6 (25 enodes) 147.886 * * [simplify]: iters left: 5 (115 enodes) 147.914 * * [simplify]: iters left: 4 (274 enodes) 148.050 * * [simplify]: Extracting #0: cost 1 inf + 0 148.050 * * [simplify]: Extracting #1: cost 4 inf + 0 148.050 * * [simplify]: Extracting #2: cost 8 inf + 0 148.050 * * [simplify]: Extracting #3: cost 25 inf + 0 148.050 * * [simplify]: Extracting #4: cost 74 inf + 0 148.051 * * [simplify]: Extracting #5: cost 103 inf + 247 148.051 * * [simplify]: Extracting #6: cost 158 inf + 2037 148.055 * * [simplify]: Extracting #7: cost 130 inf + 16702 148.065 * * [simplify]: Extracting #8: cost 9 inf + 44669 148.080 * * [simplify]: Extracting #9: cost 0 inf + 46916 148.102 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))))) 148.102 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 148.103 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 148.103 * * [simplify]: iters left: 6 (21 enodes) 148.111 * * [simplify]: iters left: 5 (96 enodes) 148.134 * * [simplify]: iters left: 4 (206 enodes) 148.189 * * [simplify]: iters left: 3 (348 enodes) 148.312 * * [simplify]: Extracting #0: cost 1 inf + 0 148.312 * * [simplify]: Extracting #1: cost 4 inf + 0 148.312 * * [simplify]: Extracting #2: cost 8 inf + 0 148.312 * * [simplify]: Extracting #3: cost 21 inf + 0 148.312 * * [simplify]: Extracting #4: cost 35 inf + 2 148.312 * * [simplify]: Extracting #5: cost 43 inf + 412 148.313 * * [simplify]: Extracting #6: cost 65 inf + 1151 148.314 * * [simplify]: Extracting #7: cost 63 inf + 2988 148.318 * * [simplify]: Extracting #8: cost 28 inf + 9163 148.326 * * [simplify]: Extracting #9: cost 2 inf + 15286 148.336 * * [simplify]: Extracting #10: cost 0 inf + 16253 148.346 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) 4) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))) 148.346 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))))) (* (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) 4) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))))) 148.347 * * * * [progress]: [ 264 / 458 ] simplifiying candidate # 148.347 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 148.347 * * [simplify]: iters left: 6 (21 enodes) 148.360 * * [simplify]: iters left: 5 (95 enodes) 148.397 * * [simplify]: iters left: 4 (227 enodes) 148.462 * * [simplify]: Extracting #0: cost 1 inf + 0 148.462 * * [simplify]: Extracting #1: cost 4 inf + 0 148.462 * * [simplify]: Extracting #2: cost 8 inf + 0 148.462 * * [simplify]: Extracting #3: cost 23 inf + 0 148.462 * * [simplify]: Extracting #4: cost 77 inf + 0 148.463 * * [simplify]: Extracting #5: cost 136 inf + 85 148.464 * * [simplify]: Extracting #6: cost 122 inf + 6866 148.467 * * [simplify]: Extracting #7: cost 101 inf + 12870 148.475 * * [simplify]: Extracting #8: cost 47 inf + 24590 148.492 * * [simplify]: Extracting #9: cost 3 inf + 40456 148.501 * * [simplify]: Extracting #10: cost 0 inf + 41787 148.509 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* v v)) -9))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 148.509 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* v v)) -9))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 148.510 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 148.510 * * [simplify]: iters left: 6 (18 enodes) 148.515 * * [simplify]: iters left: 5 (73 enodes) 148.542 * * [simplify]: iters left: 4 (159 enodes) 148.610 * * [simplify]: iters left: 3 (410 enodes) 148.775 * * [simplify]: Extracting #0: cost 1 inf + 0 148.776 * * [simplify]: Extracting #1: cost 4 inf + 0 148.776 * * [simplify]: Extracting #2: cost 8 inf + 0 148.776 * * [simplify]: Extracting #3: cost 35 inf + 0 148.776 * * [simplify]: Extracting #4: cost 106 inf + 2 148.777 * * [simplify]: Extracting #5: cost 156 inf + 87 148.778 * * [simplify]: Extracting #6: cost 124 inf + 6861 148.784 * * [simplify]: Extracting #7: cost 24 inf + 28856 148.793 * * [simplify]: Extracting #8: cost 0 inf + 32487 148.803 * * [simplify]: Extracting #9: cost 0 inf + 32486 148.813 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (sqrt (+ 1 (* 3 (* v v)))) 4)))) 148.813 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* (* (* v v) (* v v)) -9))))) (sqrt (* (* (sqrt (+ 1 (* (* (* v v) (* v v)) -9))) (sqrt 2)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* (sqrt (+ 1 (* 3 (* v v)))) 4)))))) 148.813 * * * * [progress]: [ 265 / 458 ] simplifiying candidate # 148.815 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 148.816 * * [simplify]: iters left: 6 (20 enodes) 148.822 * * [simplify]: iters left: 5 (88 enodes) 148.840 * * [simplify]: iters left: 4 (191 enodes) 148.883 * * [simplify]: iters left: 3 (429 enodes) 149.109 * * [simplify]: Extracting #0: cost 1 inf + 0 149.109 * * [simplify]: Extracting #1: cost 4 inf + 0 149.109 * * [simplify]: Extracting #2: cost 8 inf + 0 149.110 * * [simplify]: Extracting #3: cost 30 inf + 0 149.110 * * [simplify]: Extracting #4: cost 98 inf + 1 149.111 * * [simplify]: Extracting #5: cost 140 inf + 612 149.114 * * [simplify]: Extracting #6: cost 116 inf + 6518 149.117 * * [simplify]: Extracting #7: cost 96 inf + 11477 149.124 * * [simplify]: Extracting #8: cost 43 inf + 23194 149.135 * * [simplify]: Extracting #9: cost 2 inf + 37461 149.148 * * [simplify]: Extracting #10: cost 0 inf + 38067 149.161 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 149.161 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 149.161 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 149.161 * * [simplify]: iters left: 6 (14 enodes) 149.168 * * [simplify]: iters left: 5 (60 enodes) 149.191 * * [simplify]: iters left: 4 (104 enodes) 149.231 * * [simplify]: iters left: 3 (167 enodes) 149.265 * * [simplify]: iters left: 2 (211 enodes) 149.310 * * [simplify]: iters left: 1 (214 enodes) 149.331 * * [simplify]: Extracting #0: cost 1 inf + 0 149.331 * * [simplify]: Extracting #1: cost 4 inf + 0 149.331 * * [simplify]: Extracting #2: cost 8 inf + 0 149.331 * * [simplify]: Extracting #3: cost 17 inf + 0 149.331 * * [simplify]: Extracting #4: cost 28 inf + 2 149.331 * * [simplify]: Extracting #5: cost 33 inf + 86 149.331 * * [simplify]: Extracting #6: cost 29 inf + 619 149.332 * * [simplify]: Extracting #7: cost 26 inf + 866 149.334 * * [simplify]: Extracting #8: cost 12 inf + 3954 149.336 * * [simplify]: Extracting #9: cost 0 inf + 6916 149.338 * * [simplify]: Extracting #10: cost 0 inf + 6756 149.340 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4)))) 149.340 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ (* (* v v) (* (sqrt (+ 1 (* (* v v) 3))) 4)) (* (sqrt (+ 1 (* (* v v) 3))) 4)))))) 149.340 * * * * [progress]: [ 266 / 458 ] simplifiying candidate # 149.340 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 149.340 * * [simplify]: iters left: 6 (27 enodes) 149.350 * * [simplify]: iters left: 5 (125 enodes) 149.388 * * [simplify]: iters left: 4 (315 enodes) 149.501 * * [simplify]: Extracting #0: cost 1 inf + 0 149.501 * * [simplify]: Extracting #1: cost 4 inf + 0 149.501 * * [simplify]: Extracting #2: cost 8 inf + 0 149.501 * * [simplify]: Extracting #3: cost 34 inf + 0 149.501 * * [simplify]: Extracting #4: cost 110 inf + 1 149.502 * * [simplify]: Extracting #5: cost 172 inf + 250 149.503 * * [simplify]: Extracting #6: cost 209 inf + 7476 149.509 * * [simplify]: Extracting #7: cost 153 inf + 24866 149.524 * * [simplify]: Extracting #8: cost 65 inf + 42925 149.536 * * [simplify]: Extracting #9: cost 21 inf + 58884 149.555 * * [simplify]: Extracting #10: cost 0 inf + 69351 149.569 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* -9 (* (* v v) (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)))))) 149.569 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* -9 (* (* v v) (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 149.570 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 149.570 * * [simplify]: iters left: 6 (23 enodes) 149.580 * * [simplify]: iters left: 5 (103 enodes) 149.622 * * [simplify]: iters left: 4 (211 enodes) 149.690 * * [simplify]: iters left: 3 (401 enodes) 149.844 * * [simplify]: Extracting #0: cost 1 inf + 0 149.844 * * [simplify]: Extracting #1: cost 4 inf + 0 149.844 * * [simplify]: Extracting #2: cost 8 inf + 0 149.844 * * [simplify]: Extracting #3: cost 20 inf + 0 149.844 * * [simplify]: Extracting #4: cost 43 inf + 2 149.845 * * [simplify]: Extracting #5: cost 56 inf + 409 149.846 * * [simplify]: Extracting #6: cost 65 inf + 2807 149.851 * * [simplify]: Extracting #7: cost 36 inf + 10625 149.861 * * [simplify]: Extracting #8: cost 3 inf + 18319 149.873 * * [simplify]: Extracting #9: cost 0 inf + 19288 149.885 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))) 149.885 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ 1 (* -9 (* (* v v) (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (+ (* (* (* v (* v v)) (* v (* v v))) -27) 1)))))) (* (sqrt (* (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3)))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))))) 149.886 * * * * [progress]: [ 267 / 458 ] simplifiying candidate # 149.886 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 149.886 * * [simplify]: iters left: 6 (27 enodes) 149.903 * * [simplify]: iters left: 5 (123 enodes) 149.942 * * [simplify]: iters left: 4 (294 enodes) 150.082 * * [simplify]: Extracting #0: cost 1 inf + 0 150.083 * * [simplify]: Extracting #1: cost 4 inf + 0 150.083 * * [simplify]: Extracting #2: cost 8 inf + 0 150.083 * * [simplify]: Extracting #3: cost 34 inf + 0 150.083 * * [simplify]: Extracting #4: cost 95 inf + 1 150.084 * * [simplify]: Extracting #5: cost 122 inf + 410 150.086 * * [simplify]: Extracting #6: cost 173 inf + 3256 150.093 * * [simplify]: Extracting #7: cost 142 inf + 17505 150.112 * * [simplify]: Extracting #8: cost 25 inf + 42667 150.135 * * [simplify]: Extracting #9: cost 4 inf + 51144 150.159 * * [simplify]: Extracting #10: cost 0 inf + 52858 150.179 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))) (/ 4 (- 1 (* (* v v) (* v v))))))) 150.179 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 150.179 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 150.180 * * [simplify]: iters left: 6 (20 enodes) 150.186 * * [simplify]: iters left: 5 (90 enodes) 150.208 * * [simplify]: iters left: 4 (172 enodes) 150.260 * * [simplify]: iters left: 3 (275 enodes) 150.391 * * [simplify]: iters left: 2 (394 enodes) 150.521 * * [simplify]: Extracting #0: cost 1 inf + 0 150.521 * * [simplify]: Extracting #1: cost 4 inf + 0 150.521 * * [simplify]: Extracting #2: cost 8 inf + 0 150.521 * * [simplify]: Extracting #3: cost 16 inf + 0 150.521 * * [simplify]: Extracting #4: cost 23 inf + 2 150.521 * * [simplify]: Extracting #5: cost 28 inf + 126 150.522 * * [simplify]: Extracting #6: cost 46 inf + 249 150.522 * * [simplify]: Extracting #7: cost 52 inf + 1763 150.524 * * [simplify]: Extracting #8: cost 26 inf + 5711 150.526 * * [simplify]: Extracting #9: cost 6 inf + 10232 150.531 * * [simplify]: Extracting #10: cost 0 inf + 12492 150.537 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4)) (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) (+ 1 (* v v))))) 150.537 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))) (/ 4 (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4)) (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) (+ 1 (* v v))))))) 150.538 * * * * [progress]: [ 268 / 458 ] simplifiying candidate # 150.538 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 150.538 * * [simplify]: iters left: 6 (24 enodes) 150.553 * * [simplify]: iters left: 5 (106 enodes) 150.597 * * [simplify]: iters left: 4 (250 enodes) 150.686 * * [simplify]: Extracting #0: cost 1 inf + 0 150.686 * * [simplify]: Extracting #1: cost 4 inf + 0 150.686 * * [simplify]: Extracting #2: cost 8 inf + 0 150.686 * * [simplify]: Extracting #3: cost 33 inf + 0 150.686 * * [simplify]: Extracting #4: cost 106 inf + 1 150.687 * * [simplify]: Extracting #5: cost 162 inf + 208 150.688 * * [simplify]: Extracting #6: cost 156 inf + 5057 150.692 * * [simplify]: Extracting #7: cost 88 inf + 25994 150.708 * * [simplify]: Extracting #8: cost 9 inf + 47623 150.723 * * [simplify]: Extracting #9: cost 0 inf + 51237 150.734 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) 150.735 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 150.735 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 150.735 * * [simplify]: iters left: 6 (18 enodes) 150.741 * * [simplify]: iters left: 5 (71 enodes) 150.759 * * [simplify]: iters left: 4 (123 enodes) 150.813 * * [simplify]: iters left: 3 (248 enodes) 150.888 * * [simplify]: iters left: 2 (333 enodes) 150.952 * * [simplify]: iters left: 1 (385 enodes) 151.017 * * [simplify]: Extracting #0: cost 1 inf + 0 151.017 * * [simplify]: Extracting #1: cost 4 inf + 0 151.017 * * [simplify]: Extracting #2: cost 8 inf + 0 151.017 * * [simplify]: Extracting #3: cost 19 inf + 0 151.017 * * [simplify]: Extracting #4: cost 45 inf + 2 151.017 * * [simplify]: Extracting #5: cost 73 inf + 1467 151.018 * * [simplify]: Extracting #6: cost 53 inf + 4366 151.023 * * [simplify]: Extracting #7: cost 8 inf + 16664 151.027 * * [simplify]: Extracting #8: cost 0 inf + 19391 151.031 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ 1 (* 3 (* v v))))))) 151.031 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ 1 (* 3 (* v v))))))))) 151.032 * * * * [progress]: [ 269 / 458 ] simplifiying candidate # 151.032 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 151.032 * * [simplify]: iters left: 6 (23 enodes) 151.040 * * [simplify]: iters left: 5 (99 enodes) 151.059 * * [simplify]: iters left: 4 (214 enodes) 151.125 * * [simplify]: Extracting #0: cost 1 inf + 0 151.125 * * [simplify]: Extracting #1: cost 4 inf + 0 151.125 * * [simplify]: Extracting #2: cost 8 inf + 0 151.125 * * [simplify]: Extracting #3: cost 35 inf + 0 151.126 * * [simplify]: Extracting #4: cost 93 inf + 1 151.127 * * [simplify]: Extracting #5: cost 109 inf + 496 151.128 * * [simplify]: Extracting #6: cost 115 inf + 2611 151.129 * * [simplify]: Extracting #7: cost 88 inf + 7852 151.135 * * [simplify]: Extracting #8: cost 14 inf + 27476 151.142 * * [simplify]: Extracting #9: cost 2 inf + 32088 151.151 * * [simplify]: Extracting #10: cost 0 inf + 33258 151.159 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 151.160 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* 9 (* v v)) (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 151.160 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 151.160 * * [simplify]: iters left: 6 (14 enodes) 151.164 * * [simplify]: iters left: 5 (58 enodes) 151.174 * * [simplify]: iters left: 4 (74 enodes) 151.189 * * [simplify]: iters left: 3 (105 enodes) 151.224 * * [simplify]: Extracting #0: cost 1 inf + 0 151.224 * * [simplify]: Extracting #1: cost 4 inf + 0 151.224 * * [simplify]: Extracting #2: cost 8 inf + 0 151.224 * * [simplify]: Extracting #3: cost 15 inf + 0 151.224 * * [simplify]: Extracting #4: cost 20 inf + 2 151.224 * * [simplify]: Extracting #5: cost 23 inf + 3 151.225 * * [simplify]: Extracting #6: cost 25 inf + 44 151.225 * * [simplify]: Extracting #7: cost 20 inf + 374 151.226 * * [simplify]: Extracting #8: cost 6 inf + 3097 151.228 * * [simplify]: Extracting #9: cost 0 inf + 4638 151.230 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v))))) 151.230 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ 1 (* v v))))))) 151.230 * * * * [progress]: [ 270 / 458 ] simplifiying candidate # 151.231 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 151.231 * * [simplify]: iters left: 6 (24 enodes) 151.247 * * [simplify]: iters left: 5 (107 enodes) 151.276 * * [simplify]: iters left: 4 (252 enodes) 151.387 * * [simplify]: Extracting #0: cost 1 inf + 0 151.388 * * [simplify]: Extracting #1: cost 4 inf + 0 151.388 * * [simplify]: Extracting #2: cost 8 inf + 0 151.388 * * [simplify]: Extracting #3: cost 25 inf + 0 151.388 * * [simplify]: Extracting #4: cost 86 inf + 0 151.389 * * [simplify]: Extracting #5: cost 151 inf + 126 151.391 * * [simplify]: Extracting #6: cost 144 inf + 6018 151.398 * * [simplify]: Extracting #7: cost 89 inf + 19290 151.405 * * [simplify]: Extracting #8: cost 22 inf + 35727 151.414 * * [simplify]: Extracting #9: cost 0 inf + 44120 151.422 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 151.423 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 151.423 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 151.423 * * [simplify]: iters left: 6 (18 enodes) 151.431 * * [simplify]: iters left: 5 (71 enodes) 151.461 * * [simplify]: iters left: 4 (123 enodes) 151.505 * * [simplify]: iters left: 3 (220 enodes) 151.559 * * [simplify]: iters left: 2 (292 enodes) 151.632 * * [simplify]: iters left: 1 (365 enodes) 151.709 * * [simplify]: Extracting #0: cost 1 inf + 0 151.709 * * [simplify]: Extracting #1: cost 4 inf + 0 151.709 * * [simplify]: Extracting #2: cost 8 inf + 0 151.709 * * [simplify]: Extracting #3: cost 19 inf + 0 151.709 * * [simplify]: Extracting #4: cost 42 inf + 2 151.709 * * [simplify]: Extracting #5: cost 65 inf + 924 151.710 * * [simplify]: Extracting #6: cost 43 inf + 4172 151.713 * * [simplify]: Extracting #7: cost 12 inf + 10821 151.715 * * [simplify]: Extracting #8: cost 0 inf + 13848 151.721 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* 4 (+ (+ (* v v) (* (* v v) (* v v))) 1)))) 151.721 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* 4 (+ (+ (* v v) (* (* v v) (* v v))) 1)))))) 151.721 * * * * [progress]: [ 271 / 458 ] simplifiying candidate # 151.722 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 151.722 * * [simplify]: iters left: 6 (23 enodes) 151.737 * * [simplify]: iters left: 5 (100 enodes) 151.756 * * [simplify]: iters left: 4 (216 enodes) 151.834 * * [simplify]: iters left: 3 (479 enodes) 152.035 * * [simplify]: Extracting #0: cost 1 inf + 0 152.035 * * [simplify]: Extracting #1: cost 4 inf + 0 152.035 * * [simplify]: Extracting #2: cost 8 inf + 0 152.035 * * [simplify]: Extracting #3: cost 38 inf + 0 152.036 * * [simplify]: Extracting #4: cost 119 inf + 1 152.036 * * [simplify]: Extracting #5: cost 180 inf + 411 152.039 * * [simplify]: Extracting #6: cost 139 inf + 11457 152.049 * * [simplify]: Extracting #7: cost 37 inf + 39288 152.063 * * [simplify]: Extracting #8: cost 2 inf + 45917 152.084 * * [simplify]: Extracting #9: cost 0 inf + 47005 152.107 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 152.107 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))))) 152.107 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) 152.107 * * [simplify]: iters left: 6 (14 enodes) 152.113 * * [simplify]: iters left: 5 (58 enodes) 152.122 * * [simplify]: iters left: 4 (74 enodes) 152.141 * * [simplify]: iters left: 3 (78 enodes) 152.161 * * [simplify]: Extracting #0: cost 1 inf + 0 152.161 * * [simplify]: Extracting #1: cost 4 inf + 0 152.161 * * [simplify]: Extracting #2: cost 8 inf + 0 152.161 * * [simplify]: Extracting #3: cost 14 inf + 0 152.161 * * [simplify]: Extracting #4: cost 21 inf + 1 152.161 * * [simplify]: Extracting #5: cost 22 inf + 45 152.162 * * [simplify]: Extracting #6: cost 22 inf + 210 152.162 * * [simplify]: Extracting #7: cost 13 inf + 1028 152.163 * * [simplify]: Extracting #8: cost 3 inf + 2738 152.164 * * [simplify]: Extracting #9: cost 0 inf + 3590 152.164 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ (* (* v v) 4) 4))) 152.164 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ (* (* v v) 4) 4))))) 152.165 * * * * [progress]: [ 272 / 458 ] simplifiying candidate # 152.165 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 152.165 * * [simplify]: iters left: 6 (26 enodes) 152.174 * * [simplify]: iters left: 5 (115 enodes) 152.203 * * [simplify]: iters left: 4 (272 enodes) 152.298 * * [simplify]: Extracting #0: cost 1 inf + 0 152.298 * * [simplify]: Extracting #1: cost 4 inf + 0 152.298 * * [simplify]: Extracting #2: cost 8 inf + 0 152.299 * * [simplify]: Extracting #3: cost 34 inf + 0 152.299 * * [simplify]: Extracting #4: cost 107 inf + 1 152.299 * * [simplify]: Extracting #5: cost 169 inf + 250 152.301 * * [simplify]: Extracting #6: cost 169 inf + 5024 152.304 * * [simplify]: Extracting #7: cost 102 inf + 20395 152.315 * * [simplify]: Extracting #8: cost 20 inf + 42838 152.335 * * [simplify]: Extracting #9: cost 0 inf + 50866 152.348 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) 4))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) 152.348 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) 4))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 152.348 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 152.348 * * [simplify]: iters left: 6 (17 enodes) 152.354 * * [simplify]: iters left: 5 (61 enodes) 152.365 * * [simplify]: iters left: 4 (91 enodes) 152.385 * * [simplify]: iters left: 3 (135 enodes) 152.416 * * [simplify]: iters left: 2 (162 enodes) 152.447 * * [simplify]: iters left: 1 (195 enodes) 152.491 * * [simplify]: Extracting #0: cost 1 inf + 0 152.491 * * [simplify]: Extracting #1: cost 4 inf + 0 152.491 * * [simplify]: Extracting #2: cost 8 inf + 0 152.491 * * [simplify]: Extracting #3: cost 18 inf + 0 152.491 * * [simplify]: Extracting #4: cost 33 inf + 2 152.491 * * [simplify]: Extracting #5: cost 46 inf + 1013 152.492 * * [simplify]: Extracting #6: cost 24 inf + 3799 152.493 * * [simplify]: Extracting #7: cost 4 inf + 8269 152.494 * * [simplify]: Extracting #8: cost 0 inf + 9239 152.496 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v))))) 152.496 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) 4))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v))))))) 152.496 * * * * [progress]: [ 273 / 458 ] simplifiying candidate # 152.497 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 152.497 * * [simplify]: iters left: 6 (25 enodes) 152.507 * * [simplify]: iters left: 5 (108 enodes) 152.539 * * [simplify]: iters left: 4 (236 enodes) 152.634 * * [simplify]: Extracting #0: cost 1 inf + 0 152.634 * * [simplify]: Extracting #1: cost 4 inf + 0 152.634 * * [simplify]: Extracting #2: cost 8 inf + 0 152.634 * * [simplify]: Extracting #3: cost 32 inf + 0 152.634 * * [simplify]: Extracting #4: cost 93 inf + 1 152.635 * * [simplify]: Extracting #5: cost 120 inf + 330 152.636 * * [simplify]: Extracting #6: cost 121 inf + 4266 152.639 * * [simplify]: Extracting #7: cost 61 inf + 18509 152.646 * * [simplify]: Extracting #8: cost 7 inf + 31207 152.654 * * [simplify]: Extracting #9: cost 0 inf + 33683 152.668 * * [simplify]: Extracting #10: cost 0 inf + 33603 152.676 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (- 1 (* (* v v) (* v v))) (/ 4 (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))))) 152.676 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (- 1 (* (* v v) (* v v))) (/ 4 (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* v v)))))) 152.676 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* v v)))) 152.677 * * [simplify]: iters left: 6 (13 enodes) 152.681 * * [simplify]: iters left: 5 (48 enodes) 152.689 * * [simplify]: iters left: 4 (54 enodes) 152.698 * * [simplify]: Extracting #0: cost 1 inf + 0 152.698 * * [simplify]: Extracting #1: cost 4 inf + 0 152.698 * * [simplify]: Extracting #2: cost 8 inf + 0 152.698 * * [simplify]: Extracting #3: cost 14 inf + 0 152.698 * * [simplify]: Extracting #4: cost 16 inf + 2 152.698 * * [simplify]: Extracting #5: cost 17 inf + 3 152.698 * * [simplify]: Extracting #6: cost 17 inf + 248 152.699 * * [simplify]: Extracting #7: cost 12 inf + 618 152.699 * * [simplify]: Extracting #8: cost 4 inf + 1762 152.700 * * [simplify]: Extracting #9: cost 1 inf + 2574 152.701 * * [simplify]: Extracting #10: cost 0 inf + 2938 152.702 * [simplify]: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))) 152.702 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))))) 152.702 * * * * [progress]: [ 274 / 458 ] simplifiying candidate # 152.703 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 152.703 * * [simplify]: iters left: 6 (23 enodes) 152.717 * * [simplify]: iters left: 5 (104 enodes) 152.741 * * [simplify]: iters left: 4 (253 enodes) 152.839 * * [simplify]: Extracting #0: cost 1 inf + 0 152.839 * * [simplify]: Extracting #1: cost 4 inf + 0 152.839 * * [simplify]: Extracting #2: cost 8 inf + 0 152.839 * * [simplify]: Extracting #3: cost 23 inf + 0 152.839 * * [simplify]: Extracting #4: cost 60 inf + 0 152.839 * * [simplify]: Extracting #5: cost 78 inf + 85 152.840 * * [simplify]: Extracting #6: cost 142 inf + 1104 152.841 * * [simplify]: Extracting #7: cost 163 inf + 3633 152.845 * * [simplify]: Extracting #8: cost 61 inf + 21980 152.854 * * [simplify]: Extracting #9: cost 16 inf + 34736 152.863 * * [simplify]: Extracting #10: cost 0 inf + 40903 152.872 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* v v)))))) 152.872 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 152.873 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 152.873 * * [simplify]: iters left: 6 (19 enodes) 152.885 * * [simplify]: iters left: 5 (80 enodes) 152.902 * * [simplify]: iters left: 4 (152 enodes) 152.968 * * [simplify]: iters left: 3 (241 enodes) 153.047 * * [simplify]: iters left: 2 (362 enodes) 153.167 * * [simplify]: iters left: 1 (468 enodes) 153.320 * * [simplify]: Extracting #0: cost 1 inf + 0 153.321 * * [simplify]: Extracting #1: cost 4 inf + 0 153.321 * * [simplify]: Extracting #2: cost 8 inf + 0 153.321 * * [simplify]: Extracting #3: cost 13 inf + 0 153.321 * * [simplify]: Extracting #4: cost 16 inf + 1 153.321 * * [simplify]: Extracting #5: cost 23 inf + 1 153.321 * * [simplify]: Extracting #6: cost 50 inf + 2 153.323 * * [simplify]: Extracting #7: cost 64 inf + 2613 153.325 * * [simplify]: Extracting #8: cost 38 inf + 6468 153.327 * * [simplify]: Extracting #9: cost 7 inf + 14051 153.330 * * [simplify]: Extracting #10: cost 0 inf + 16354 153.333 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) 4)) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))) 153.333 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* -27 (* (* (* v v) (* v v)) (* v v))) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)) 4)) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4))))) 153.333 * * * * [progress]: [ 275 / 458 ] simplifiying candidate # 153.334 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 153.334 * * [simplify]: iters left: 6 (16 enodes) 153.339 * * [simplify]: iters left: 5 (65 enodes) 153.355 * * [simplify]: iters left: 4 (144 enodes) 153.388 * * [simplify]: iters left: 3 (311 enodes) 153.528 * * [simplify]: Extracting #0: cost 1 inf + 0 153.528 * * [simplify]: Extracting #1: cost 20 inf + 0 153.528 * * [simplify]: Extracting #2: cost 54 inf + 1 153.528 * * [simplify]: Extracting #3: cost 66 inf + 208 153.529 * * [simplify]: Extracting #4: cost 70 inf + 2695 153.530 * * [simplify]: Extracting #5: cost 76 inf + 4649 153.534 * * [simplify]: Extracting #6: cost 16 inf + 15207 153.549 * * [simplify]: Extracting #7: cost 0 inf + 18581 153.562 * [simplify]: Simplified to (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) 153.562 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 153.563 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 153.563 * * [simplify]: iters left: 6 (11 enodes) 153.569 * * [simplify]: iters left: 5 (38 enodes) 153.581 * * [simplify]: iters left: 4 (45 enodes) 153.591 * * [simplify]: Extracting #0: cost 1 inf + 0 153.591 * * [simplify]: Extracting #1: cost 5 inf + 0 153.591 * * [simplify]: Extracting #2: cost 7 inf + 1 153.591 * * [simplify]: Extracting #3: cost 10 inf + 1 153.591 * * [simplify]: Extracting #4: cost 14 inf + 2 153.592 * * [simplify]: Extracting #5: cost 13 inf + 46 153.592 * * [simplify]: Extracting #6: cost 9 inf + 252 153.592 * * [simplify]: Extracting #7: cost 5 inf + 743 153.592 * * [simplify]: Extracting #8: cost 1 inf + 1558 153.592 * * [simplify]: Extracting #9: cost 0 inf + 1802 153.593 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* v v) 3))) 4) 153.593 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt 2) (* (- 1 (* v v)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) (* (sqrt (+ 1 (* (* v v) 3))) 4))) 153.593 * * * * [progress]: [ 276 / 458 ] simplifiying candidate # 153.593 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 153.593 * * [simplify]: iters left: 6 (25 enodes) 153.602 * * [simplify]: iters left: 5 (112 enodes) 153.626 * * [simplify]: iters left: 4 (275 enodes) 153.750 * * [simplify]: Extracting #0: cost 1 inf + 0 153.750 * * [simplify]: Extracting #1: cost 4 inf + 0 153.750 * * [simplify]: Extracting #2: cost 8 inf + 0 153.750 * * [simplify]: Extracting #3: cost 32 inf + 0 153.750 * * [simplify]: Extracting #4: cost 84 inf + 1 153.751 * * [simplify]: Extracting #5: cost 102 inf + 86 153.751 * * [simplify]: Extracting #6: cost 166 inf + 1149 153.754 * * [simplify]: Extracting #7: cost 162 inf + 9104 153.765 * * [simplify]: Extracting #8: cost 46 inf + 33482 153.776 * * [simplify]: Extracting #9: cost 4 inf + 46924 153.788 * * [simplify]: Extracting #10: cost 0 inf + 48278 153.808 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))) (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (+ (* (- (* v v)) (* 27 (* (* v v) (* v v)))) 1))))) 153.808 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))) (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (+ (* (- (* v v)) (* 27 (* (* v v) (* v v)))) 1))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 153.809 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 153.809 * * [simplify]: iters left: 6 (18 enodes) 153.820 * * [simplify]: iters left: 5 (76 enodes) 153.851 * * [simplify]: iters left: 4 (148 enodes) 153.906 * * [simplify]: iters left: 3 (237 enodes) 154.018 * * [simplify]: iters left: 2 (362 enodes) 154.194 * * [simplify]: iters left: 1 (475 enodes) 154.291 * * [simplify]: Extracting #0: cost 1 inf + 0 154.291 * * [simplify]: Extracting #1: cost 4 inf + 0 154.291 * * [simplify]: Extracting #2: cost 8 inf + 0 154.291 * * [simplify]: Extracting #3: cost 13 inf + 0 154.291 * * [simplify]: Extracting #4: cost 20 inf + 1 154.291 * * [simplify]: Extracting #5: cost 48 inf + 2 154.292 * * [simplify]: Extracting #6: cost 66 inf + 2125 154.293 * * [simplify]: Extracting #7: cost 23 inf + 9857 154.296 * * [simplify]: Extracting #8: cost 3 inf + 14841 154.299 * * [simplify]: Extracting #9: cost 0 inf + 15318 154.302 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4)) (sqrt (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)))) 154.303 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* (* (* v v) (* v v)) -9) 1)))) (sqrt (* (/ (* (sqrt 2) (- 1 (* v v))) 4) (sqrt (+ (* (- (* v v)) (* 27 (* (* v v) (* v v)))) 1))))) (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) 4)) (sqrt (sqrt (+ (* (* (* v v) 3) (+ (* (* v v) 3) 1)) 1)))))) 154.303 * * * * [progress]: [ 277 / 458 ] simplifiying candidate # 154.303 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 154.303 * * [simplify]: iters left: 6 (21 enodes) 154.310 * * [simplify]: iters left: 5 (87 enodes) 154.327 * * [simplify]: iters left: 4 (181 enodes) 154.406 * * [simplify]: iters left: 3 (419 enodes) 154.568 * * [simplify]: Extracting #0: cost 1 inf + 0 154.568 * * [simplify]: Extracting #1: cost 4 inf + 0 154.569 * * [simplify]: Extracting #2: cost 8 inf + 0 154.569 * * [simplify]: Extracting #3: cost 40 inf + 0 154.569 * * [simplify]: Extracting #4: cost 114 inf + 2 154.570 * * [simplify]: Extracting #5: cost 127 inf + 576 154.571 * * [simplify]: Extracting #6: cost 115 inf + 5064 154.574 * * [simplify]: Extracting #7: cost 113 inf + 8770 154.585 * * [simplify]: Extracting #8: cost 50 inf + 20303 154.607 * * [simplify]: Extracting #9: cost 8 inf + 32918 154.632 * * [simplify]: Extracting #10: cost 0 inf + 35954 154.660 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) 154.660 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2)) (- 1 (* v v)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 154.660 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 154.660 * * [simplify]: iters left: 6 (12 enodes) 154.667 * * [simplify]: iters left: 5 (44 enodes) 154.682 * * [simplify]: iters left: 4 (50 enodes) 154.696 * * [simplify]: Extracting #0: cost 1 inf + 0 154.696 * * [simplify]: Extracting #1: cost 4 inf + 0 154.696 * * [simplify]: Extracting #2: cost 8 inf + 0 154.696 * * [simplify]: Extracting #3: cost 12 inf + 0 154.696 * * [simplify]: Extracting #4: cost 14 inf + 1 154.697 * * [simplify]: Extracting #5: cost 18 inf + 2 154.697 * * [simplify]: Extracting #6: cost 18 inf + 4 154.697 * * [simplify]: Extracting #7: cost 12 inf + 334 154.697 * * [simplify]: Extracting #8: cost 8 inf + 906 154.698 * * [simplify]: Extracting #9: cost 3 inf + 2085 154.699 * * [simplify]: Extracting #10: cost 0 inf + 2856 154.700 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) 154.700 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (sqrt (+ 1 (* (* 3 v) v))))))) 154.700 * * * * [progress]: [ 278 / 458 ] simplifiying candidate # 154.701 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 154.701 * * [simplify]: iters left: 6 (21 enodes) 154.713 * * [simplify]: iters left: 5 (89 enodes) 154.744 * * [simplify]: iters left: 4 (194 enodes) 154.791 * * [simplify]: iters left: 3 (413 enodes) 154.961 * * [simplify]: Extracting #0: cost 1 inf + 0 154.961 * * [simplify]: Extracting #1: cost 4 inf + 0 154.961 * * [simplify]: Extracting #2: cost 8 inf + 0 154.961 * * [simplify]: Extracting #3: cost 32 inf + 0 154.961 * * [simplify]: Extracting #4: cost 78 inf + 1 154.962 * * [simplify]: Extracting #5: cost 102 inf + 85 154.963 * * [simplify]: Extracting #6: cost 107 inf + 2085 154.964 * * [simplify]: Extracting #7: cost 103 inf + 4936 154.969 * * [simplify]: Extracting #8: cost 29 inf + 19303 154.978 * * [simplify]: Extracting #9: cost 3 inf + 26673 154.995 * * [simplify]: Extracting #10: cost 0 inf + 27372 155.014 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1))))) 155.014 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (+ (* -3 (* v v)) 1))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)))) 155.014 * [simplify]: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) 155.015 * * [simplify]: iters left: 6 (12 enodes) 155.023 * * [simplify]: iters left: 5 (45 enodes) 155.037 * * [simplify]: iters left: 4 (51 enodes) 155.052 * * [simplify]: Extracting #0: cost 1 inf + 0 155.052 * * [simplify]: Extracting #1: cost 4 inf + 0 155.052 * * [simplify]: Extracting #2: cost 5 inf + 1 155.052 * * [simplify]: Extracting #3: cost 8 inf + 1 155.052 * * [simplify]: Extracting #4: cost 9 inf + 2 155.052 * * [simplify]: Extracting #5: cost 12 inf + 2 155.052 * * [simplify]: Extracting #6: cost 16 inf + 3 155.052 * * [simplify]: Extracting #7: cost 16 inf + 5 155.053 * * [simplify]: Extracting #8: cost 10 inf + 335 155.053 * * [simplify]: Extracting #9: cost 6 inf + 907 155.054 * * [simplify]: Extracting #10: cost 2 inf + 1844 155.055 * * [simplify]: Extracting #11: cost 0 inf + 2373 155.056 * [simplify]: Simplified to (* 2 (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4))) 155.056 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* 2 (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4))))) 155.056 * * * * [progress]: [ 279 / 458 ] simplifiying candidate # 155.056 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 155.057 * * [simplify]: iters left: 6 (23 enodes) 155.071 * * [simplify]: iters left: 5 (107 enodes) 155.098 * * [simplify]: iters left: 4 (270 enodes) 155.231 * * [simplify]: Extracting #0: cost 1 inf + 0 155.231 * * [simplify]: Extracting #1: cost 4 inf + 0 155.231 * * [simplify]: Extracting #2: cost 8 inf + 0 155.231 * * [simplify]: Extracting #3: cost 31 inf + 0 155.232 * * [simplify]: Extracting #4: cost 102 inf + 1 155.232 * * [simplify]: Extracting #5: cost 156 inf + 414 155.233 * * [simplify]: Extracting #6: cost 176 inf + 6131 155.238 * * [simplify]: Extracting #7: cost 135 inf + 36382 155.250 * * [simplify]: Extracting #8: cost 15 inf + 67863 155.263 * * [simplify]: Extracting #9: cost 0 inf + 64476 155.279 * * [simplify]: Extracting #10: cost 0 inf + 63475 155.300 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) 155.300 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 155.301 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 155.301 * * [simplify]: iters left: 6 (21 enodes) 155.315 * * [simplify]: iters left: 5 (97 enodes) 155.351 * * [simplify]: iters left: 4 (253 enodes) 155.466 * * [simplify]: Extracting #0: cost 1 inf + 0 155.466 * * [simplify]: Extracting #1: cost 4 inf + 0 155.466 * * [simplify]: Extracting #2: cost 8 inf + 0 155.466 * * [simplify]: Extracting #3: cost 31 inf + 0 155.467 * * [simplify]: Extracting #4: cost 77 inf + 2 155.468 * * [simplify]: Extracting #5: cost 112 inf + 126 155.470 * * [simplify]: Extracting #6: cost 85 inf + 4883 155.476 * * [simplify]: Extracting #7: cost 22 inf + 21865 155.485 * * [simplify]: Extracting #8: cost 3 inf + 27179 155.494 * * [simplify]: Extracting #9: cost 0 inf + 28180 155.507 * * [simplify]: Extracting #10: cost 0 inf + 28018 155.524 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)) (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))))) 155.524 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) (* (sqrt (* (* (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)) (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3)))))))) 155.524 * * * * [progress]: [ 280 / 458 ] simplifiying candidate # 155.525 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 155.525 * * [simplify]: iters left: 6 (24 enodes) 155.540 * * [simplify]: iters left: 5 (105 enodes) 155.580 * * [simplify]: iters left: 4 (249 enodes) 155.708 * * [simplify]: Extracting #0: cost 1 inf + 0 155.708 * * [simplify]: Extracting #1: cost 4 inf + 0 155.708 * * [simplify]: Extracting #2: cost 8 inf + 0 155.708 * * [simplify]: Extracting #3: cost 32 inf + 0 155.709 * * [simplify]: Extracting #4: cost 90 inf + 1 155.709 * * [simplify]: Extracting #5: cost 110 inf + 168 155.710 * * [simplify]: Extracting #6: cost 139 inf + 3252 155.712 * * [simplify]: Extracting #7: cost 152 inf + 8208 155.718 * * [simplify]: Extracting #8: cost 67 inf + 26372 155.728 * * [simplify]: Extracting #9: cost 3 inf + 46799 155.740 * * [simplify]: Extracting #10: cost 0 inf + 48131 155.766 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))) (sqrt 2))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) 155.766 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))) (sqrt 2))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 155.767 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 155.767 * * [simplify]: iters left: 6 (18 enodes) 155.774 * * [simplify]: iters left: 5 (85 enodes) 155.793 * * [simplify]: iters left: 4 (207 enodes) 155.871 * * [simplify]: iters left: 3 (339 enodes) 155.952 * * [simplify]: iters left: 2 (462 enodes) 156.066 * * [simplify]: Extracting #0: cost 1 inf + 0 156.066 * * [simplify]: Extracting #1: cost 4 inf + 0 156.066 * * [simplify]: Extracting #2: cost 8 inf + 0 156.066 * * [simplify]: Extracting #3: cost 18 inf + 0 156.066 * * [simplify]: Extracting #4: cost 34 inf + 2 156.066 * * [simplify]: Extracting #5: cost 59 inf + 44 156.069 * * [simplify]: Extracting #6: cost 67 inf + 825 156.070 * * [simplify]: Extracting #7: cost 40 inf + 4527 156.073 * * [simplify]: Extracting #8: cost 10 inf + 11350 156.078 * * [simplify]: Extracting #9: cost 0 inf + 14786 156.083 * * [simplify]: Extracting #10: cost 0 inf + 14746 156.088 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (+ 1 (* v v)) (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))))) 156.088 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))) (sqrt 2))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (+ 1 (* v v)) (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))))))) 156.088 * * * * [progress]: [ 281 / 458 ] simplifiying candidate # 156.089 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 156.089 * * [simplify]: iters left: 6 (27 enodes) 156.098 * * [simplify]: iters left: 5 (125 enodes) 156.148 * * [simplify]: iters left: 4 (315 enodes) 156.289 * * [simplify]: Extracting #0: cost 1 inf + 0 156.289 * * [simplify]: Extracting #1: cost 4 inf + 0 156.289 * * [simplify]: Extracting #2: cost 8 inf + 0 156.289 * * [simplify]: Extracting #3: cost 34 inf + 0 156.289 * * [simplify]: Extracting #4: cost 107 inf + 1 156.290 * * [simplify]: Extracting #5: cost 168 inf + 414 156.291 * * [simplify]: Extracting #6: cost 209 inf + 6034 156.295 * * [simplify]: Extracting #7: cost 168 inf + 22143 156.310 * * [simplify]: Extracting #8: cost 57 inf + 46998 156.334 * * [simplify]: Extracting #9: cost 19 inf + 59345 156.361 * * [simplify]: Extracting #10: cost 0 inf + 67696 156.390 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) 156.390 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 156.391 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 156.391 * * [simplify]: iters left: 6 (23 enodes) 156.401 * * [simplify]: iters left: 5 (105 enodes) 156.433 * * [simplify]: iters left: 4 (247 enodes) 156.534 * * [simplify]: Extracting #0: cost 1 inf + 0 156.534 * * [simplify]: Extracting #1: cost 4 inf + 0 156.534 * * [simplify]: Extracting #2: cost 8 inf + 0 156.534 * * [simplify]: Extracting #3: cost 30 inf + 0 156.535 * * [simplify]: Extracting #4: cost 72 inf + 2 156.535 * * [simplify]: Extracting #5: cost 106 inf + 289 156.536 * * [simplify]: Extracting #6: cost 84 inf + 3871 156.540 * * [simplify]: Extracting #7: cost 31 inf + 13659 156.551 * * [simplify]: Extracting #8: cost 2 inf + 21883 156.564 * * [simplify]: Extracting #9: cost 0 inf + 22851 156.577 * [simplify]: Simplified to (* (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* (+ (* 9 (* v v)) 3) (* v v)))))) 156.577 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* -9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (/ (* (- 1 (* v v)) (sqrt 2)) 4) (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27)))))) (* (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* (+ (* 9 (* v v)) 3) (* v v)))))))) 156.578 * * * * [progress]: [ 282 / 458 ] simplifiying candidate # 156.578 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 156.579 * * [simplify]: iters left: 6 (27 enodes) 156.596 * * [simplify]: iters left: 5 (123 enodes) 156.645 * * [simplify]: iters left: 4 (294 enodes) 156.754 * * [simplify]: Extracting #0: cost 1 inf + 0 156.754 * * [simplify]: Extracting #1: cost 4 inf + 0 156.754 * * [simplify]: Extracting #2: cost 8 inf + 0 156.754 * * [simplify]: Extracting #3: cost 34 inf + 0 156.754 * * [simplify]: Extracting #4: cost 95 inf + 1 156.755 * * [simplify]: Extracting #5: cost 120 inf + 537 156.756 * * [simplify]: Extracting #6: cost 178 inf + 2734 156.759 * * [simplify]: Extracting #7: cost 157 inf + 14643 156.767 * * [simplify]: Extracting #8: cost 44 inf + 37756 156.778 * * [simplify]: Extracting #9: cost 4 inf + 50391 156.798 * * [simplify]: Extracting #10: cost 0 inf + 52540 156.822 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 156.822 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 156.823 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 156.823 * * [simplify]: iters left: 6 (20 enodes) 156.836 * * [simplify]: iters left: 5 (92 enodes) 156.873 * * [simplify]: iters left: 4 (202 enodes) 156.921 * * [simplify]: iters left: 3 (329 enodes) 157.057 * * [simplify]: iters left: 2 (485 enodes) 157.205 * * [simplify]: Extracting #0: cost 1 inf + 0 157.205 * * [simplify]: Extracting #1: cost 4 inf + 0 157.205 * * [simplify]: Extracting #2: cost 8 inf + 0 157.205 * * [simplify]: Extracting #3: cost 19 inf + 0 157.205 * * [simplify]: Extracting #4: cost 36 inf + 2 157.205 * * [simplify]: Extracting #5: cost 59 inf + 208 157.206 * * [simplify]: Extracting #6: cost 63 inf + 1438 157.208 * * [simplify]: Extracting #7: cost 36 inf + 5237 157.211 * * [simplify]: Extracting #8: cost 6 inf + 11929 157.217 * * [simplify]: Extracting #9: cost 1 inf + 13437 157.225 * * [simplify]: Extracting #10: cost 0 inf + 14042 157.232 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (+ 3 (* 9 (* v v))) (* v v))))) (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))) 157.232 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (+ 3 (* 9 (* v v))) (* v v))))) (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ 1 (* (* v v) 3)))))))) 157.232 * * * * [progress]: [ 283 / 458 ] simplifiying candidate # 157.233 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 157.233 * * [simplify]: iters left: 6 (22 enodes) 157.244 * * [simplify]: iters left: 5 (104 enodes) 157.272 * * [simplify]: iters left: 4 (273 enodes) 157.412 * * [simplify]: Extracting #0: cost 1 inf + 0 157.412 * * [simplify]: Extracting #1: cost 4 inf + 0 157.412 * * [simplify]: Extracting #2: cost 8 inf + 0 157.413 * * [simplify]: Extracting #3: cost 34 inf + 0 157.413 * * [simplify]: Extracting #4: cost 109 inf + 1 157.413 * * [simplify]: Extracting #5: cost 164 inf + 373 157.415 * * [simplify]: Extracting #6: cost 185 inf + 5830 157.421 * * [simplify]: Extracting #7: cost 134 inf + 31161 157.436 * * [simplify]: Extracting #8: cost 10 inf + 69460 157.453 * * [simplify]: Extracting #9: cost 0 inf + 68967 157.470 * * [simplify]: Extracting #10: cost 0 inf + 68647 157.504 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 157.504 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 157.505 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 157.505 * * [simplify]: iters left: 6 (19 enodes) 157.518 * * [simplify]: iters left: 5 (88 enodes) 157.554 * * [simplify]: iters left: 4 (210 enodes) 157.651 * * [simplify]: iters left: 3 (408 enodes) 157.781 * * [simplify]: Extracting #0: cost 1 inf + 0 157.781 * * [simplify]: Extracting #1: cost 4 inf + 0 157.781 * * [simplify]: Extracting #2: cost 8 inf + 0 157.781 * * [simplify]: Extracting #3: cost 18 inf + 0 157.781 * * [simplify]: Extracting #4: cost 45 inf + 1 157.781 * * [simplify]: Extracting #5: cost 77 inf + 326 157.782 * * [simplify]: Extracting #6: cost 57 inf + 3704 157.786 * * [simplify]: Extracting #7: cost 12 inf + 12418 157.791 * * [simplify]: Extracting #8: cost 2 inf + 16217 157.802 * * [simplify]: Extracting #9: cost 0 inf + 17183 157.814 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) (sqrt (+ (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* v v)) (+ (* v v) 1))))) 157.814 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v)))))) (sqrt (+ (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* (* (sqrt (+ 1 (* (+ 1 (* 3 (* v v))) (* 3 (* v v))))) (* v v)) (+ (* v v) 1))))))) 157.814 * * * * [progress]: [ 284 / 458 ] simplifiying candidate # 157.815 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 157.815 * * [simplify]: iters left: 6 (23 enodes) 157.829 * * [simplify]: iters left: 5 (102 enodes) 157.869 * * [simplify]: iters left: 4 (252 enodes) 157.972 * * [simplify]: Extracting #0: cost 1 inf + 0 157.972 * * [simplify]: Extracting #1: cost 4 inf + 0 157.972 * * [simplify]: Extracting #2: cost 8 inf + 0 157.972 * * [simplify]: Extracting #3: cost 34 inf + 0 157.972 * * [simplify]: Extracting #4: cost 98 inf + 1 157.973 * * [simplify]: Extracting #5: cost 116 inf + 291 157.975 * * [simplify]: Extracting #6: cost 149 inf + 2777 157.978 * * [simplify]: Extracting #7: cost 141 inf + 11744 157.984 * * [simplify]: Extracting #8: cost 57 inf + 30000 157.996 * * [simplify]: Extracting #9: cost 4 inf + 50499 158.012 * * [simplify]: Extracting #10: cost 0 inf + 51803 158.026 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) 158.026 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 158.026 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 158.027 * * [simplify]: iters left: 6 (16 enodes) 158.032 * * [simplify]: iters left: 5 (76 enodes) 158.049 * * [simplify]: iters left: 4 (170 enodes) 158.091 * * [simplify]: iters left: 3 (271 enodes) 158.183 * * [simplify]: iters left: 2 (353 enodes) 158.273 * * [simplify]: iters left: 1 (405 enodes) 158.369 * * [simplify]: Extracting #0: cost 1 inf + 0 158.370 * * [simplify]: Extracting #1: cost 4 inf + 0 158.370 * * [simplify]: Extracting #2: cost 8 inf + 0 158.370 * * [simplify]: Extracting #3: cost 14 inf + 0 158.370 * * [simplify]: Extracting #4: cost 24 inf + 1 158.370 * * [simplify]: Extracting #5: cost 51 inf + 125 158.371 * * [simplify]: Extracting #6: cost 78 inf + 740 158.374 * * [simplify]: Extracting #7: cost 59 inf + 3104 158.379 * * [simplify]: Extracting #8: cost 19 inf + 12540 158.387 * * [simplify]: Extracting #9: cost 1 inf + 17729 158.395 * * [simplify]: Extracting #10: cost 0 inf + 18022 158.402 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) 158.402 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3)))))))) (* (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))))) 158.403 * * * * [progress]: [ 285 / 458 ] simplifiying candidate # 158.403 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 158.403 * * [simplify]: iters left: 6 (27 enodes) 158.420 * * [simplify]: iters left: 5 (127 enodes) 158.454 * * [simplify]: iters left: 4 (329 enodes) 158.590 * * [simplify]: Extracting #0: cost 1 inf + 0 158.590 * * [simplify]: Extracting #1: cost 4 inf + 0 158.590 * * [simplify]: Extracting #2: cost 8 inf + 0 158.591 * * [simplify]: Extracting #3: cost 41 inf + 0 158.591 * * [simplify]: Extracting #4: cost 130 inf + 1 158.592 * * [simplify]: Extracting #5: cost 192 inf + 332 158.593 * * [simplify]: Extracting #6: cost 241 inf + 4673 158.598 * * [simplify]: Extracting #7: cost 180 inf + 26247 158.630 * * [simplify]: Extracting #8: cost 16 inf + 71166 158.663 * * [simplify]: Extracting #9: cost 0 inf + 77385 158.696 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4))))) 158.696 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 158.697 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 158.697 * * [simplify]: iters left: 6 (21 enodes) 158.710 * * [simplify]: iters left: 5 (95 enodes) 158.749 * * [simplify]: iters left: 4 (205 enodes) 158.814 * * [simplify]: iters left: 3 (405 enodes) 158.989 * * [simplify]: Extracting #0: cost 1 inf + 0 158.989 * * [simplify]: Extracting #1: cost 4 inf + 0 158.989 * * [simplify]: Extracting #2: cost 8 inf + 0 158.989 * * [simplify]: Extracting #3: cost 20 inf + 0 158.989 * * [simplify]: Extracting #4: cost 47 inf + 1 158.989 * * [simplify]: Extracting #5: cost 86 inf + 43 158.990 * * [simplify]: Extracting #6: cost 74 inf + 2767 158.995 * * [simplify]: Extracting #7: cost 22 inf + 11845 159.005 * * [simplify]: Extracting #8: cost 1 inf + 17554 159.015 * * [simplify]: Extracting #9: cost 0 inf + 18157 159.026 * [simplify]: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (sqrt (+ 1 (+ (* (* 3 v) v) (* (* (* 3 v) v) (* (* 3 v) v))))))) 159.026 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* (* v v) (* v v))))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* 27 (* (* v v) (* (* v v) (* v v)))))) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (sqrt (+ 1 (+ (* (* 3 v) v) (* (* (* 3 v) v) (* (* 3 v) v))))))))) 159.026 * * * * [progress]: [ 286 / 458 ] simplifiying candidate # 159.027 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 159.027 * * [simplify]: iters left: 6 (27 enodes) 159.042 * * [simplify]: iters left: 5 (125 enodes) 159.071 * * [simplify]: iters left: 4 (308 enodes) 159.200 * * [simplify]: Extracting #0: cost 1 inf + 0 159.200 * * [simplify]: Extracting #1: cost 4 inf + 0 159.200 * * [simplify]: Extracting #2: cost 8 inf + 0 159.200 * * [simplify]: Extracting #3: cost 41 inf + 0 159.200 * * [simplify]: Extracting #4: cost 115 inf + 1 159.201 * * [simplify]: Extracting #5: cost 143 inf + 209 159.202 * * [simplify]: Extracting #6: cost 194 inf + 3335 159.206 * * [simplify]: Extracting #7: cost 159 inf + 17506 159.214 * * [simplify]: Extracting #8: cost 59 inf + 38442 159.236 * * [simplify]: Extracting #9: cost 21 inf + 50392 159.250 * * [simplify]: Extracting #10: cost 0 inf + 59821 159.270 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* (* (* v v) -9) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) 159.270 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* (* (* v v) -9) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 159.271 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 159.271 * * [simplify]: iters left: 6 (18 enodes) 159.281 * * [simplify]: iters left: 5 (83 enodes) 159.298 * * [simplify]: iters left: 4 (165 enodes) 159.357 * * [simplify]: iters left: 3 (263 enodes) 159.441 * * [simplify]: iters left: 2 (374 enodes) 159.610 * * [simplify]: iters left: 1 (489 enodes) 159.752 * * [simplify]: Extracting #0: cost 1 inf + 0 159.752 * * [simplify]: Extracting #1: cost 4 inf + 0 159.752 * * [simplify]: Extracting #2: cost 8 inf + 0 159.752 * * [simplify]: Extracting #3: cost 15 inf + 0 159.752 * * [simplify]: Extracting #4: cost 26 inf + 1 159.752 * * [simplify]: Extracting #5: cost 53 inf + 43 159.753 * * [simplify]: Extracting #6: cost 74 inf + 1874 159.755 * * [simplify]: Extracting #7: cost 39 inf + 7483 159.761 * * [simplify]: Extracting #8: cost 11 inf + 13709 159.767 * * [simplify]: Extracting #9: cost 0 inf + 17002 159.772 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (+ 3 (* 9 (* v v))) (* v v))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))) 159.772 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* (* (* v v) -9) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v)))))))) (* (sqrt (sqrt (+ 1 (* (+ 3 (* 9 (* v v))) (* v v))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))))) 159.773 * * * * [progress]: [ 287 / 458 ] simplifiying candidate # 159.773 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 159.773 * * [simplify]: iters left: 6 (25 enodes) 159.781 * * [simplify]: iters left: 5 (116 enodes) 159.812 * * [simplify]: iters left: 4 (294 enodes) 159.935 * * [simplify]: Extracting #0: cost 1 inf + 0 159.935 * * [simplify]: Extracting #1: cost 4 inf + 0 159.935 * * [simplify]: Extracting #2: cost 8 inf + 0 159.935 * * [simplify]: Extracting #3: cost 34 inf + 0 159.936 * * [simplify]: Extracting #4: cost 107 inf + 1 159.937 * * [simplify]: Extracting #5: cost 168 inf + 291 159.944 * * [simplify]: Extracting #6: cost 208 inf + 3310 159.954 * * [simplify]: Extracting #7: cost 154 inf + 23789 159.972 * * [simplify]: Extracting #8: cost 22 inf + 57870 159.986 * * [simplify]: Extracting #9: cost 0 inf + 66032 159.999 * * [simplify]: Extracting #10: cost 0 inf + 65872 160.019 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) 160.019 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 160.020 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 160.020 * * [simplify]: iters left: 6 (20 enodes) 160.034 * * [simplify]: iters left: 5 (91 enodes) 160.075 * * [simplify]: iters left: 4 (213 enodes) 160.173 * * [simplify]: iters left: 3 (382 enodes) 160.307 * * [simplify]: Extracting #0: cost 1 inf + 0 160.307 * * [simplify]: Extracting #1: cost 4 inf + 0 160.307 * * [simplify]: Extracting #2: cost 8 inf + 0 160.307 * * [simplify]: Extracting #3: cost 18 inf + 0 160.307 * * [simplify]: Extracting #4: cost 49 inf + 1 160.308 * * [simplify]: Extracting #5: cost 70 inf + 1867 160.312 * * [simplify]: Extracting #6: cost 36 inf + 7996 160.318 * * [simplify]: Extracting #7: cost 10 inf + 11821 160.325 * * [simplify]: Extracting #8: cost 0 inf + 13174 160.332 * * [simplify]: Extracting #9: cost 0 inf + 12724 160.340 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v)))))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4))) 160.340 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) (* (sqrt (sqrt (+ 1 (* (* (* 3 v) v) (+ 1 (* (* 3 v) v)))))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4))))) 160.341 * * * * [progress]: [ 288 / 458 ] simplifiying candidate # 160.341 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 160.341 * * [simplify]: iters left: 6 (26 enodes) 160.358 * * [simplify]: iters left: 5 (114 enodes) 160.403 * * [simplify]: iters left: 4 (273 enodes) 160.540 * * [simplify]: Extracting #0: cost 1 inf + 0 160.540 * * [simplify]: Extracting #1: cost 4 inf + 0 160.540 * * [simplify]: Extracting #2: cost 8 inf + 0 160.540 * * [simplify]: Extracting #3: cost 32 inf + 0 160.541 * * [simplify]: Extracting #4: cost 96 inf + 1 160.542 * * [simplify]: Extracting #5: cost 122 inf + 373 160.543 * * [simplify]: Extracting #6: cost 164 inf + 2570 160.553 * * [simplify]: Extracting #7: cost 151 inf + 16983 160.568 * * [simplify]: Extracting #8: cost 46 inf + 40183 160.589 * * [simplify]: Extracting #9: cost 10 inf + 47950 160.613 * * [simplify]: Extracting #10: cost 0 inf + 51330 160.637 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) 160.637 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ 1 (* v v))))))) 160.638 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ 1 (* v v))))) 160.638 * * [simplify]: iters left: 6 (17 enodes) 160.650 * * [simplify]: iters left: 5 (79 enodes) 160.675 * * [simplify]: iters left: 4 (173 enodes) 160.728 * * [simplify]: iters left: 3 (269 enodes) 160.812 * * [simplify]: iters left: 2 (351 enodes) 160.931 * * [simplify]: iters left: 1 (395 enodes) 161.012 * * [simplify]: Extracting #0: cost 1 inf + 0 161.012 * * [simplify]: Extracting #1: cost 4 inf + 0 161.012 * * [simplify]: Extracting #2: cost 8 inf + 0 161.012 * * [simplify]: Extracting #3: cost 15 inf + 0 161.013 * * [simplify]: Extracting #4: cost 24 inf + 2 161.013 * * [simplify]: Extracting #5: cost 50 inf + 126 161.013 * * [simplify]: Extracting #6: cost 62 inf + 2332 161.016 * * [simplify]: Extracting #7: cost 28 inf + 8300 161.018 * * [simplify]: Extracting #8: cost 2 inf + 14240 161.024 * * [simplify]: Extracting #9: cost 0 inf + 14956 161.030 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ (* v (* 4 v)) 4))) 161.030 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) (* (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (+ (* v (* 4 v)) 4))))) 161.030 * * * * [progress]: [ 289 / 458 ] simplifiying candidate # 161.031 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 161.031 * * [simplify]: iters left: 6 (25 enodes) 161.047 * * [simplify]: iters left: 5 (118 enodes) 161.101 * * [simplify]: iters left: 4 (308 enodes) 161.236 * * [simplify]: Extracting #0: cost 1 inf + 0 161.236 * * [simplify]: Extracting #1: cost 4 inf + 0 161.236 * * [simplify]: Extracting #2: cost 8 inf + 0 161.236 * * [simplify]: Extracting #3: cost 41 inf + 0 161.236 * * [simplify]: Extracting #4: cost 127 inf + 1 161.237 * * [simplify]: Extracting #5: cost 187 inf + 496 161.239 * * [simplify]: Extracting #6: cost 199 inf + 15338 161.248 * * [simplify]: Extracting #7: cost 94 inf + 53358 161.268 * * [simplify]: Extracting #8: cost 7 inf + 70325 161.298 * * [simplify]: Extracting #9: cost 0 inf + 73177 161.313 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) 161.314 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 161.314 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 161.314 * * [simplify]: iters left: 6 (18 enodes) 161.320 * * [simplify]: iters left: 5 (78 enodes) 161.350 * * [simplify]: iters left: 4 (178 enodes) 161.414 * * [simplify]: iters left: 3 (298 enodes) 161.505 * * [simplify]: iters left: 2 (381 enodes) 161.621 * * [simplify]: iters left: 1 (436 enodes) 161.764 * * [simplify]: Extracting #0: cost 1 inf + 0 161.764 * * [simplify]: Extracting #1: cost 4 inf + 0 161.765 * * [simplify]: Extracting #2: cost 8 inf + 0 161.765 * * [simplify]: Extracting #3: cost 17 inf + 0 161.765 * * [simplify]: Extracting #4: cost 35 inf + 1 161.765 * * [simplify]: Extracting #5: cost 65 inf + 509 161.767 * * [simplify]: Extracting #6: cost 67 inf + 2056 161.770 * * [simplify]: Extracting #7: cost 34 inf + 7200 161.776 * * [simplify]: Extracting #8: cost 3 inf + 15191 161.785 * * [simplify]: Extracting #9: cost 0 inf + 16030 161.792 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (+ (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))) 161.792 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (- 1 (* (* v v) (* (* v v) (* v v)))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))))) (* (sqrt (sqrt (+ 1 (+ (* v (* 3 v)) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (+ (+ (* (* v v) (* v v)) (* v v)) 1))))) 161.793 * * * * [progress]: [ 290 / 458 ] simplifiying candidate # 161.793 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 161.793 * * [simplify]: iters left: 6 (26 enodes) 161.807 * * [simplify]: iters left: 5 (116 enodes) 161.832 * * [simplify]: iters left: 4 (287 enodes) 161.956 * * [simplify]: Extracting #0: cost 1 inf + 0 161.956 * * [simplify]: Extracting #1: cost 4 inf + 0 161.956 * * [simplify]: Extracting #2: cost 8 inf + 0 161.956 * * [simplify]: Extracting #3: cost 39 inf + 0 161.956 * * [simplify]: Extracting #4: cost 116 inf + 1 161.957 * * [simplify]: Extracting #5: cost 142 inf + 332 161.958 * * [simplify]: Extracting #6: cost 180 inf + 3340 161.962 * * [simplify]: Extracting #7: cost 146 inf + 18987 161.973 * * [simplify]: Extracting #8: cost 24 inf + 49097 161.994 * * [simplify]: Extracting #9: cost 1 inf + 56850 162.026 * * [simplify]: Extracting #10: cost 0 inf + 57143 162.048 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) 162.049 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ 1 (* v v)))))) 162.049 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ 1 (* v v)))) 162.049 * * [simplify]: iters left: 6 (15 enodes) 162.055 * * [simplify]: iters left: 5 (66 enodes) 162.069 * * [simplify]: iters left: 4 (150 enodes) 162.120 * * [simplify]: iters left: 3 (240 enodes) 162.215 * * [simplify]: iters left: 2 (316 enodes) 162.302 * * [simplify]: iters left: 1 (361 enodes) 162.398 * * [simplify]: Extracting #0: cost 1 inf + 0 162.398 * * [simplify]: Extracting #1: cost 4 inf + 0 162.399 * * [simplify]: Extracting #2: cost 8 inf + 0 162.399 * * [simplify]: Extracting #3: cost 13 inf + 0 162.399 * * [simplify]: Extracting #4: cost 20 inf + 1 162.399 * * [simplify]: Extracting #5: cost 46 inf + 2 162.401 * * [simplify]: Extracting #6: cost 61 inf + 2827 162.404 * * [simplify]: Extracting #7: cost 36 inf + 6059 162.409 * * [simplify]: Extracting #8: cost 12 inf + 11470 162.415 * * [simplify]: Extracting #9: cost 0 inf + 14722 162.421 * [simplify]: Simplified to (* (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (+ 1 (* v v)))) 162.421 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (+ 1 (* v v)))))) 162.421 * * * * [progress]: [ 291 / 458 ] simplifiying candidate # 162.422 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 162.422 * * [simplify]: iters left: 6 (21 enodes) 162.436 * * [simplify]: iters left: 5 (92 enodes) 162.471 * * [simplify]: iters left: 4 (211 enodes) 162.578 * * [simplify]: Extracting #0: cost 1 inf + 0 162.578 * * [simplify]: Extracting #1: cost 4 inf + 0 162.578 * * [simplify]: Extracting #2: cost 8 inf + 0 162.578 * * [simplify]: Extracting #3: cost 31 inf + 0 162.579 * * [simplify]: Extracting #4: cost 72 inf + 1 162.579 * * [simplify]: Extracting #5: cost 81 inf + 86 162.579 * * [simplify]: Extracting #6: cost 119 inf + 2166 162.581 * * [simplify]: Extracting #7: cost 156 inf + 3557 162.585 * * [simplify]: Extracting #8: cost 68 inf + 20246 162.594 * * [simplify]: Extracting #9: cost 4 inf + 39686 162.609 * * [simplify]: Extracting #10: cost 0 inf + 41226 162.628 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) 162.628 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 162.628 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 162.628 * * [simplify]: iters left: 6 (16 enodes) 162.634 * * [simplify]: iters left: 5 (69 enodes) 162.650 * * [simplify]: iters left: 4 (153 enodes) 162.691 * * [simplify]: iters left: 3 (245 enodes) 162.781 * * [simplify]: iters left: 2 (327 enodes) 162.876 * * [simplify]: iters left: 1 (387 enodes) 162.963 * * [simplify]: Extracting #0: cost 1 inf + 0 162.963 * * [simplify]: Extracting #1: cost 4 inf + 0 162.963 * * [simplify]: Extracting #2: cost 8 inf + 0 162.963 * * [simplify]: Extracting #3: cost 12 inf + 0 162.963 * * [simplify]: Extracting #4: cost 18 inf + 1 162.963 * * [simplify]: Extracting #5: cost 48 inf + 2 162.963 * * [simplify]: Extracting #6: cost 79 inf + 291 162.965 * * [simplify]: Extracting #7: cost 36 inf + 6708 162.968 * * [simplify]: Extracting #8: cost 5 inf + 14413 162.971 * * [simplify]: Extracting #9: cost 0 inf + 15689 162.974 * [simplify]: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) 162.974 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 27 (* (* (* v v) (* v v)) (* v v)))))))) (* (sqrt (* 4 (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))))) 162.974 * * * * [progress]: [ 292 / 458 ] simplifiying candidate # 162.975 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 162.975 * * [simplify]: iters left: 6 (25 enodes) 162.991 * * [simplify]: iters left: 5 (112 enodes) 163.035 * * [simplify]: iters left: 4 (275 enodes) 163.136 * * [simplify]: Extracting #0: cost 1 inf + 0 163.136 * * [simplify]: Extracting #1: cost 4 inf + 0 163.136 * * [simplify]: Extracting #2: cost 8 inf + 0 163.137 * * [simplify]: Extracting #3: cost 30 inf + 0 163.137 * * [simplify]: Extracting #4: cost 82 inf + 1 163.138 * * [simplify]: Extracting #5: cost 100 inf + 86 163.139 * * [simplify]: Extracting #6: cost 164 inf + 1149 163.142 * * [simplify]: Extracting #7: cost 174 inf + 5353 163.152 * * [simplify]: Extracting #8: cost 80 inf + 23868 163.172 * * [simplify]: Extracting #9: cost 16 inf + 41683 163.194 * * [simplify]: Extracting #10: cost 0 inf + 47633 163.210 * * [simplify]: Extracting #11: cost 0 inf + 47593 163.221 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) 163.221 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 163.222 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 163.222 * * [simplify]: iters left: 6 (18 enodes) 163.228 * * [simplify]: iters left: 5 (76 enodes) 163.254 * * [simplify]: iters left: 4 (148 enodes) 163.294 * * [simplify]: iters left: 3 (233 enodes) 163.371 * * [simplify]: iters left: 2 (337 enodes) 163.496 * * [simplify]: iters left: 1 (433 enodes) 163.589 * * [simplify]: Extracting #0: cost 1 inf + 0 163.589 * * [simplify]: Extracting #1: cost 4 inf + 0 163.589 * * [simplify]: Extracting #2: cost 8 inf + 0 163.590 * * [simplify]: Extracting #3: cost 13 inf + 0 163.590 * * [simplify]: Extracting #4: cost 20 inf + 1 163.590 * * [simplify]: Extracting #5: cost 48 inf + 2 163.591 * * [simplify]: Extracting #6: cost 69 inf + 2043 163.595 * * [simplify]: Extracting #7: cost 29 inf + 9287 163.601 * * [simplify]: Extracting #8: cost 5 inf + 14355 163.607 * * [simplify]: Extracting #9: cost 0 inf + 15870 163.612 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (+ (* v (* 3 v)) (* (* 3 v) (* (* 3 v) (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v))))))) 163.612 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))))) (* (sqrt (sqrt (+ 1 (+ (* v (* 3 v)) (* (* 3 v) (* (* 3 v) (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v))))))))) 163.613 * * * * [progress]: [ 293 / 458 ] simplifiying candidate # 163.613 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 163.614 * * [simplify]: iters left: 6 (18 enodes) 163.626 * * [simplify]: iters left: 5 (78 enodes) 163.656 * * [simplify]: iters left: 4 (194 enodes) 163.744 * * [simplify]: Extracting #0: cost 1 inf + 0 163.745 * * [simplify]: Extracting #1: cost 21 inf + 0 163.745 * * [simplify]: Extracting #2: cost 59 inf + 1 163.745 * * [simplify]: Extracting #3: cost 67 inf + 86 163.745 * * [simplify]: Extracting #4: cost 111 inf + 1434 163.746 * * [simplify]: Extracting #5: cost 139 inf + 3511 163.751 * * [simplify]: Extracting #6: cost 59 inf + 20728 163.758 * * [simplify]: Extracting #7: cost 2 inf + 35143 163.766 * * [simplify]: Extracting #8: cost 0 inf + 35801 163.775 * [simplify]: Simplified to (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (/ (sqrt 2) 4))) 163.775 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (/ (sqrt 2) 4))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 163.775 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 163.775 * * [simplify]: iters left: 6 (13 enodes) 163.783 * * [simplify]: iters left: 5 (56 enodes) 163.803 * * [simplify]: iters left: 4 (141 enodes) 163.869 * * [simplify]: iters left: 3 (232 enodes) 163.986 * * [simplify]: iters left: 2 (304 enodes) 164.086 * * [simplify]: iters left: 1 (348 enodes) 164.177 * * [simplify]: Extracting #0: cost 1 inf + 0 164.177 * * [simplify]: Extracting #1: cost 4 inf + 0 164.177 * * [simplify]: Extracting #2: cost 12 inf + 0 164.177 * * [simplify]: Extracting #3: cost 40 inf + 1 164.177 * * [simplify]: Extracting #4: cost 68 inf + 738 164.179 * * [simplify]: Extracting #5: cost 36 inf + 5676 164.181 * * [simplify]: Extracting #6: cost 5 inf + 12490 164.183 * * [simplify]: Extracting #7: cost 0 inf + 13637 164.186 * * [simplify]: Extracting #8: cost 0 inf + 13520 164.190 * [simplify]: Simplified to (sqrt (+ 1 (* (+ (* (* v v) 9) 3) (* v v)))) 164.190 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* (* v v) (* v v))) 27))) (/ (sqrt 2) 4))) (sqrt (+ 1 (* (+ (* (* v v) 9) 3) (* v v)))))) 164.191 * * * * [progress]: [ 294 / 458 ] simplifiying candidate # 164.191 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 164.191 * * [simplify]: iters left: 6 (25 enodes) 164.200 * * [simplify]: iters left: 5 (114 enodes) 164.241 * * [simplify]: iters left: 4 (287 enodes) 164.342 * * [simplify]: Extracting #0: cost 1 inf + 0 164.342 * * [simplify]: Extracting #1: cost 4 inf + 0 164.342 * * [simplify]: Extracting #2: cost 8 inf + 0 164.342 * * [simplify]: Extracting #3: cost 35 inf + 0 164.342 * * [simplify]: Extracting #4: cost 97 inf + 1 164.343 * * [simplify]: Extracting #5: cost 111 inf + 373 164.344 * * [simplify]: Extracting #6: cost 173 inf + 2128 164.346 * * [simplify]: Extracting #7: cost 172 inf + 13314 164.353 * * [simplify]: Extracting #8: cost 60 inf + 36830 164.366 * * [simplify]: Extracting #9: cost 18 inf + 46343 164.396 * * [simplify]: Extracting #10: cost 0 inf + 53563 164.414 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 164.414 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 164.414 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 164.415 * * [simplify]: iters left: 6 (16 enodes) 164.420 * * [simplify]: iters left: 5 (69 enodes) 164.434 * * [simplify]: iters left: 4 (142 enodes) 164.492 * * [simplify]: iters left: 3 (232 enodes) 164.569 * * [simplify]: iters left: 2 (347 enodes) 164.707 * * [simplify]: iters left: 1 (459 enodes) 164.796 * * [simplify]: Extracting #0: cost 1 inf + 0 164.796 * * [simplify]: Extracting #1: cost 4 inf + 0 164.796 * * [simplify]: Extracting #2: cost 8 inf + 0 164.796 * * [simplify]: Extracting #3: cost 12 inf + 0 164.796 * * [simplify]: Extracting #4: cost 19 inf + 0 164.796 * * [simplify]: Extracting #5: cost 46 inf + 1 164.797 * * [simplify]: Extracting #6: cost 74 inf + 574 164.800 * * [simplify]: Extracting #7: cost 30 inf + 7457 164.805 * * [simplify]: Extracting #8: cost 7 inf + 12514 164.810 * * [simplify]: Extracting #9: cost 1 inf + 14181 164.816 * * [simplify]: Extracting #10: cost 0 inf + 14624 164.821 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) 164.821 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))))) 164.822 * * * * [progress]: [ 295 / 458 ] simplifiying candidate # 164.822 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 164.822 * * [simplify]: iters left: 6 (23 enodes) 164.835 * * [simplify]: iters left: 5 (102 enodes) 164.856 * * [simplify]: iters left: 4 (248 enodes) 164.946 * * [simplify]: Extracting #0: cost 1 inf + 0 164.946 * * [simplify]: Extracting #1: cost 4 inf + 0 164.946 * * [simplify]: Extracting #2: cost 8 inf + 0 164.946 * * [simplify]: Extracting #3: cost 30 inf + 0 164.946 * * [simplify]: Extracting #4: cost 82 inf + 1 164.947 * * [simplify]: Extracting #5: cost 98 inf + 209 164.948 * * [simplify]: Extracting #6: cost 151 inf + 1231 164.951 * * [simplify]: Extracting #7: cost 172 inf + 3961 164.958 * * [simplify]: Extracting #8: cost 93 inf + 18304 164.974 * * [simplify]: Extracting #9: cost 15 inf + 39803 164.984 * * [simplify]: Extracting #10: cost 0 inf + 45611 164.994 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* v v) -3) 1)) (* (sqrt 2) (- 1 (* v v)))))) 164.994 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* v v) -3) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4)))) 164.997 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4)) 164.998 * * [simplify]: iters left: 6 (15 enodes) 165.008 * * [simplify]: iters left: 5 (66 enodes) 165.036 * * [simplify]: iters left: 4 (150 enodes) 165.080 * * [simplify]: iters left: 3 (240 enodes) 165.169 * * [simplify]: iters left: 2 (313 enodes) 165.266 * * [simplify]: iters left: 1 (353 enodes) 165.392 * * [simplify]: Extracting #0: cost 1 inf + 0 165.392 * * [simplify]: Extracting #1: cost 4 inf + 0 165.392 * * [simplify]: Extracting #2: cost 5 inf + 1 165.392 * * [simplify]: Extracting #3: cost 7 inf + 1 165.392 * * [simplify]: Extracting #4: cost 14 inf + 1 165.392 * * [simplify]: Extracting #5: cost 42 inf + 2 165.393 * * [simplify]: Extracting #6: cost 69 inf + 783 165.399 * * [simplify]: Extracting #7: cost 29 inf + 7191 165.404 * * [simplify]: Extracting #8: cost 2 inf + 13630 165.410 * * [simplify]: Extracting #9: cost 0 inf + 14156 165.416 * [simplify]: Simplified to (* (sqrt (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) 2) 165.416 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* (* v v) -3) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v)))))) 2))) 165.416 * * * * [progress]: [ 296 / 458 ] simplifiying candidate # 165.416 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 165.417 * * [simplify]: iters left: 6 (27 enodes) 165.431 * * [simplify]: iters left: 5 (125 enodes) 165.465 * * [simplify]: iters left: 4 (315 enodes) 165.621 * * [simplify]: Extracting #0: cost 1 inf + 0 165.621 * * [simplify]: Extracting #1: cost 4 inf + 0 165.621 * * [simplify]: Extracting #2: cost 8 inf + 0 165.621 * * [simplify]: Extracting #3: cost 34 inf + 0 165.621 * * [simplify]: Extracting #4: cost 107 inf + 1 165.622 * * [simplify]: Extracting #5: cost 167 inf + 455 165.623 * * [simplify]: Extracting #6: cost 208 inf + 6591 165.627 * * [simplify]: Extracting #7: cost 159 inf + 22138 165.637 * * [simplify]: Extracting #8: cost 54 inf + 45638 165.661 * * [simplify]: Extracting #9: cost 15 inf + 59843 165.689 * * [simplify]: Extracting #10: cost 0 inf + 66849 165.716 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 165.716 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 165.717 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 165.717 * * [simplify]: iters left: 6 (23 enodes) 165.732 * * [simplify]: iters left: 5 (105 enodes) 165.780 * * [simplify]: iters left: 4 (249 enodes) 165.865 * * [simplify]: Extracting #0: cost 1 inf + 0 165.866 * * [simplify]: Extracting #1: cost 4 inf + 0 165.866 * * [simplify]: Extracting #2: cost 8 inf + 0 165.866 * * [simplify]: Extracting #3: cost 28 inf + 0 165.866 * * [simplify]: Extracting #4: cost 67 inf + 2 165.867 * * [simplify]: Extracting #5: cost 88 inf + 125 165.868 * * [simplify]: Extracting #6: cost 88 inf + 1957 165.871 * * [simplify]: Extracting #7: cost 69 inf + 5497 165.880 * * [simplify]: Extracting #8: cost 21 inf + 17277 165.889 * * [simplify]: Extracting #9: cost 3 inf + 24862 165.898 * * [simplify]: Extracting #10: cost 0 inf + 26273 165.906 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (sqrt (+ 1 (* (* v 3) v))))) 165.906 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (* (* (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (sqrt (+ 1 (* (* v 3) v))))))) 165.907 * * * * [progress]: [ 297 / 458 ] simplifiying candidate # 165.907 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 165.907 * * [simplify]: iters left: 6 (27 enodes) 165.924 * * [simplify]: iters left: 5 (123 enodes) 165.963 * * [simplify]: iters left: 4 (294 enodes) 166.087 * * [simplify]: Extracting #0: cost 1 inf + 0 166.087 * * [simplify]: Extracting #1: cost 4 inf + 0 166.087 * * [simplify]: Extracting #2: cost 8 inf + 0 166.087 * * [simplify]: Extracting #3: cost 34 inf + 0 166.087 * * [simplify]: Extracting #4: cost 95 inf + 1 166.088 * * [simplify]: Extracting #5: cost 123 inf + 291 166.089 * * [simplify]: Extracting #6: cost 178 inf + 2655 166.092 * * [simplify]: Extracting #7: cost 149 inf + 16223 166.104 * * [simplify]: Extracting #8: cost 27 inf + 42637 166.126 * * [simplify]: Extracting #9: cost 4 inf + 51565 166.151 * * [simplify]: Extracting #10: cost 0 inf + 53028 166.175 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))) (sqrt 2))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ (sqrt 2) 4))))) 166.175 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))) (sqrt 2))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 166.176 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 166.176 * * [simplify]: iters left: 6 (20 enodes) 166.189 * * [simplify]: iters left: 5 (92 enodes) 166.228 * * [simplify]: iters left: 4 (202 enodes) 166.273 * * [simplify]: iters left: 3 (332 enodes) 166.376 * * [simplify]: iters left: 2 (490 enodes) 166.556 * * [simplify]: Extracting #0: cost 1 inf + 0 166.556 * * [simplify]: Extracting #1: cost 4 inf + 0 166.556 * * [simplify]: Extracting #2: cost 8 inf + 0 166.556 * * [simplify]: Extracting #3: cost 19 inf + 0 166.556 * * [simplify]: Extracting #4: cost 33 inf + 2 166.556 * * [simplify]: Extracting #5: cost 42 inf + 168 166.557 * * [simplify]: Extracting #6: cost 51 inf + 784 166.557 * * [simplify]: Extracting #7: cost 52 inf + 2784 166.560 * * [simplify]: Extracting #8: cost 24 inf + 7857 166.564 * * [simplify]: Extracting #9: cost 3 inf + 13879 166.569 * * [simplify]: Extracting #10: cost 1 inf + 14655 166.577 * * [simplify]: Extracting #11: cost 0 inf + 15219 166.583 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v 3) v)) (* (* v 3) v)) 1)) 4) (+ (* v v) 1)))) 166.583 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))) (sqrt 2))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v 3) v)) (* (* v 3) v)) 1)) 4) (+ (* v v) 1)))))) 166.583 * * * * [progress]: [ 298 / 458 ] simplifiying candidate # 166.583 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 166.583 * * [simplify]: iters left: 6 (24 enodes) 166.592 * * [simplify]: iters left: 5 (106 enodes) 166.621 * * [simplify]: iters left: 4 (250 enodes) 166.713 * * [simplify]: Extracting #0: cost 1 inf + 0 166.713 * * [simplify]: Extracting #1: cost 4 inf + 0 166.716 * * [simplify]: Extracting #2: cost 8 inf + 0 166.717 * * [simplify]: Extracting #3: cost 31 inf + 0 166.717 * * [simplify]: Extracting #4: cost 102 inf + 1 166.718 * * [simplify]: Extracting #5: cost 155 inf + 495 166.721 * * [simplify]: Extracting #6: cost 147 inf + 5517 166.725 * * [simplify]: Extracting #7: cost 114 inf + 13128 166.730 * * [simplify]: Extracting #8: cost 60 inf + 27383 166.740 * * [simplify]: Extracting #9: cost 4 inf + 49394 166.750 * * [simplify]: Extracting #10: cost 0 inf + 51209 166.767 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 166.767 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 166.768 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 166.768 * * [simplify]: iters left: 6 (18 enodes) 166.779 * * [simplify]: iters left: 5 (74 enodes) 166.809 * * [simplify]: iters left: 4 (164 enodes) 166.874 * * [simplify]: iters left: 3 (396 enodes) 167.069 * * [simplify]: Extracting #0: cost 1 inf + 0 167.069 * * [simplify]: Extracting #1: cost 4 inf + 0 167.069 * * [simplify]: Extracting #2: cost 8 inf + 0 167.069 * * [simplify]: Extracting #3: cost 31 inf + 0 167.070 * * [simplify]: Extracting #4: cost 79 inf + 2 167.071 * * [simplify]: Extracting #5: cost 99 inf + 4571 167.073 * * [simplify]: Extracting #6: cost 55 inf + 10979 167.079 * * [simplify]: Extracting #7: cost 8 inf + 21552 167.088 * * [simplify]: Extracting #8: cost 0 inf + 24252 167.096 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ (* (* (* v v) 4) (* v v)) (+ 4 (* (* v v) 4))) (sqrt (+ 1 (* 3 (* v v))))))) 167.096 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (+ (* (* (* v v) 4) (* v v)) (+ 4 (* (* v v) 4))) (sqrt (+ 1 (* 3 (* v v))))))))) 167.096 * * * * [progress]: [ 299 / 458 ] simplifiying candidate # 167.096 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 167.096 * * [simplify]: iters left: 6 (23 enodes) 167.104 * * [simplify]: iters left: 5 (99 enodes) 167.142 * * [simplify]: iters left: 4 (214 enodes) 167.232 * * [simplify]: Extracting #0: cost 1 inf + 0 167.232 * * [simplify]: Extracting #1: cost 4 inf + 0 167.232 * * [simplify]: Extracting #2: cost 8 inf + 0 167.232 * * [simplify]: Extracting #3: cost 35 inf + 0 167.232 * * [simplify]: Extracting #4: cost 91 inf + 1 167.233 * * [simplify]: Extracting #5: cost 111 inf + 167 167.234 * * [simplify]: Extracting #6: cost 113 inf + 2487 167.237 * * [simplify]: Extracting #7: cost 40 inf + 21514 167.245 * * [simplify]: Extracting #8: cost 2 inf + 30397 167.253 * * [simplify]: Extracting #9: cost 0 inf + 31406 167.266 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (/ (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ 4 (sqrt 2))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))) (- 1 (* (* v v) (* v v)))))) 167.266 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (/ (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ 4 (sqrt 2))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))) (- 1 (* (* v v) (* v v)))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 167.267 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 167.267 * * [simplify]: iters left: 6 (14 enodes) 167.275 * * [simplify]: iters left: 5 (60 enodes) 167.291 * * [simplify]: iters left: 4 (104 enodes) 167.313 * * [simplify]: iters left: 3 (166 enodes) 167.360 * * [simplify]: iters left: 2 (210 enodes) 167.402 * * [simplify]: iters left: 1 (213 enodes) 167.432 * * [simplify]: Extracting #0: cost 1 inf + 0 167.432 * * [simplify]: Extracting #1: cost 4 inf + 0 167.432 * * [simplify]: Extracting #2: cost 8 inf + 0 167.432 * * [simplify]: Extracting #3: cost 18 inf + 0 167.432 * * [simplify]: Extracting #4: cost 30 inf + 2 167.433 * * [simplify]: Extracting #5: cost 36 inf + 86 167.433 * * [simplify]: Extracting #6: cost 30 inf + 498 167.433 * * [simplify]: Extracting #7: cost 24 inf + 1031 167.434 * * [simplify]: Extracting #8: cost 12 inf + 3831 167.436 * * [simplify]: Extracting #9: cost 0 inf + 6834 167.437 * * [simplify]: Extracting #10: cost 0 inf + 6674 167.439 * [simplify]: Simplified to (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 167.439 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (/ (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ 4 (sqrt 2))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* (* (* v v) (* v v)) 9)))) (- 1 (* (* v v) (* v v)))))) (* (sqrt (* 4 (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 167.440 * * * * [progress]: [ 300 / 458 ] simplifiying candidate # 167.440 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 167.440 * * [simplify]: iters left: 6 (27 enodes) 167.450 * * [simplify]: iters left: 5 (127 enodes) 167.484 * * [simplify]: iters left: 4 (329 enodes) 167.622 * * [simplify]: Extracting #0: cost 1 inf + 0 167.622 * * [simplify]: Extracting #1: cost 4 inf + 0 167.622 * * [simplify]: Extracting #2: cost 8 inf + 0 167.622 * * [simplify]: Extracting #3: cost 41 inf + 0 167.622 * * [simplify]: Extracting #4: cost 130 inf + 1 167.623 * * [simplify]: Extracting #5: cost 189 inf + 578 167.625 * * [simplify]: Extracting #6: cost 234 inf + 7016 167.630 * * [simplify]: Extracting #7: cost 166 inf + 26891 167.639 * * [simplify]: Extracting #8: cost 66 inf + 49942 167.662 * * [simplify]: Extracting #9: cost 21 inf + 66150 167.683 * * [simplify]: Extracting #10: cost 0 inf + 76658 167.706 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 167.706 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 167.707 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 167.707 * * [simplify]: iters left: 6 (21 enodes) 167.721 * * [simplify]: iters left: 5 (95 enodes) 167.759 * * [simplify]: iters left: 4 (205 enodes) 167.824 * * [simplify]: iters left: 3 (403 enodes) 167.956 * * [simplify]: Extracting #0: cost 1 inf + 0 167.956 * * [simplify]: Extracting #1: cost 4 inf + 0 167.956 * * [simplify]: Extracting #2: cost 8 inf + 0 167.956 * * [simplify]: Extracting #3: cost 20 inf + 0 167.957 * * [simplify]: Extracting #4: cost 44 inf + 1 167.957 * * [simplify]: Extracting #5: cost 61 inf + 125 167.958 * * [simplify]: Extracting #6: cost 73 inf + 1263 167.961 * * [simplify]: Extracting #7: cost 56 inf + 4879 167.968 * * [simplify]: Extracting #8: cost 17 inf + 12623 167.981 * * [simplify]: Extracting #9: cost 1 inf + 18394 167.991 * * [simplify]: Extracting #10: cost 0 inf + 18919 167.997 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 167.997 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 27 (* (* v (* v v)) (* v (* v v)))))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (+ (* (* v v) 3) (* (* (* v v) 3) (* (* v v) 3))))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 167.998 * * * * [progress]: [ 301 / 458 ] simplifiying candidate # 167.998 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 167.998 * * [simplify]: iters left: 6 (27 enodes) 168.007 * * [simplify]: iters left: 5 (125 enodes) 168.045 * * [simplify]: iters left: 4 (308 enodes) 168.163 * * [simplify]: Extracting #0: cost 1 inf + 0 168.163 * * [simplify]: Extracting #1: cost 4 inf + 0 168.163 * * [simplify]: Extracting #2: cost 8 inf + 0 168.163 * * [simplify]: Extracting #3: cost 41 inf + 0 168.164 * * [simplify]: Extracting #4: cost 115 inf + 1 168.165 * * [simplify]: Extracting #5: cost 141 inf + 373 168.167 * * [simplify]: Extracting #6: cost 187 inf + 4635 168.174 * * [simplify]: Extracting #7: cost 159 inf + 17077 168.191 * * [simplify]: Extracting #8: cost 50 inf + 41189 168.206 * * [simplify]: Extracting #9: cost 6 inf + 56103 168.219 * * [simplify]: Extracting #10: cost 0 inf + 59220 168.243 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 168.243 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 168.243 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 168.243 * * [simplify]: iters left: 6 (18 enodes) 168.250 * * [simplify]: iters left: 5 (83 enodes) 168.270 * * [simplify]: iters left: 4 (166 enodes) 168.333 * * [simplify]: iters left: 3 (264 enodes) 168.454 * * [simplify]: iters left: 2 (373 enodes) 168.593 * * [simplify]: iters left: 1 (497 enodes) 168.691 * * [simplify]: Extracting #0: cost 1 inf + 0 168.691 * * [simplify]: Extracting #1: cost 4 inf + 0 168.691 * * [simplify]: Extracting #2: cost 8 inf + 0 168.692 * * [simplify]: Extracting #3: cost 15 inf + 0 168.692 * * [simplify]: Extracting #4: cost 23 inf + 1 168.692 * * [simplify]: Extracting #5: cost 30 inf + 43 168.692 * * [simplify]: Extracting #6: cost 52 inf + 249 168.693 * * [simplify]: Extracting #7: cost 70 inf + 2409 168.695 * * [simplify]: Extracting #8: cost 36 inf + 8174 168.698 * * [simplify]: Extracting #9: cost 5 inf + 16074 168.701 * * [simplify]: Extracting #10: cost 0 inf + 17860 168.705 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))))) 168.705 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v)))))))) (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))))))) 168.705 * * * * [progress]: [ 302 / 458 ] simplifiying candidate # 168.705 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 168.705 * * [simplify]: iters left: 6 (23 enodes) 168.714 * * [simplify]: iters left: 5 (103 enodes) 168.735 * * [simplify]: iters left: 4 (253 enodes) 168.815 * * [simplify]: Extracting #0: cost 1 inf + 0 168.815 * * [simplify]: Extracting #1: cost 4 inf + 0 168.815 * * [simplify]: Extracting #2: cost 8 inf + 0 168.815 * * [simplify]: Extracting #3: cost 34 inf + 0 168.816 * * [simplify]: Extracting #4: cost 112 inf + 1 168.817 * * [simplify]: Extracting #5: cost 165 inf + 413 168.819 * * [simplify]: Extracting #6: cost 160 inf + 5033 168.828 * * [simplify]: Extracting #7: cost 94 inf + 24726 168.845 * * [simplify]: Extracting #8: cost 6 inf + 50474 168.861 * * [simplify]: Extracting #9: cost 0 inf + 52858 168.873 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) (sqrt (+ (* (* v v) (* (- (* (* v v) (* v v))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4)))) 168.873 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) (sqrt (+ (* (* v v) (* (- (* (* v v) (* v v))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4)))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 168.874 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 168.874 * * [simplify]: iters left: 6 (16 enodes) 168.883 * * [simplify]: iters left: 5 (65 enodes) 168.908 * * [simplify]: iters left: 4 (121 enodes) 168.932 * * [simplify]: iters left: 3 (223 enodes) 169.029 * * [simplify]: iters left: 2 (304 enodes) 169.143 * * [simplify]: iters left: 1 (384 enodes) 169.260 * * [simplify]: Extracting #0: cost 1 inf + 0 169.260 * * [simplify]: Extracting #1: cost 4 inf + 0 169.260 * * [simplify]: Extracting #2: cost 8 inf + 0 169.260 * * [simplify]: Extracting #3: cost 18 inf + 0 169.260 * * [simplify]: Extracting #4: cost 43 inf + 1 169.261 * * [simplify]: Extracting #5: cost 73 inf + 206 169.261 * * [simplify]: Extracting #6: cost 63 inf + 1346 169.262 * * [simplify]: Extracting #7: cost 37 inf + 6371 169.266 * * [simplify]: Extracting #8: cost 7 inf + 16664 169.270 * * [simplify]: Extracting #9: cost 0 inf + 18954 169.276 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v 3) v)))) (sqrt (+ 1 (* (* v 3) v))))) (sqrt (sqrt (+ 1 (* (* v 3) v))))) 169.276 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 9 (* (* v v) (* v v))))))) (sqrt (+ (* (* v v) (* (- (* (* v v) (* v v))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4))) (/ (* (sqrt 2) (sqrt (- 1 (* 9 (* (* v v) (* v v)))))) 4)))) (* (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* (* v 3) v)))) (sqrt (+ 1 (* (* v 3) v))))) (sqrt (sqrt (+ 1 (* (* v 3) v))))))) 169.277 * * * * [progress]: [ 303 / 458 ] simplifiying candidate # 169.277 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 169.278 * * [simplify]: iters left: 6 (22 enodes) 169.294 * * [simplify]: iters left: 5 (96 enodes) 169.331 * * [simplify]: iters left: 4 (217 enodes) 169.432 * * [simplify]: Extracting #0: cost 1 inf + 0 169.432 * * [simplify]: Extracting #1: cost 4 inf + 0 169.432 * * [simplify]: Extracting #2: cost 8 inf + 0 169.432 * * [simplify]: Extracting #3: cost 36 inf + 0 169.432 * * [simplify]: Extracting #4: cost 100 inf + 1 169.433 * * [simplify]: Extracting #5: cost 116 inf + 496 169.434 * * [simplify]: Extracting #6: cost 112 inf + 4878 169.438 * * [simplify]: Extracting #7: cost 50 inf + 22598 169.447 * * [simplify]: Extracting #8: cost 3 inf + 34601 169.456 * * [simplify]: Extracting #9: cost 0 inf + 35813 169.468 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (sqrt 2) 4)))) 169.468 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (sqrt 2) 4)))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 169.468 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 169.469 * * [simplify]: iters left: 6 (12 enodes) 169.475 * * [simplify]: iters left: 5 (51 enodes) 169.486 * * [simplify]: iters left: 4 (67 enodes) 169.497 * * [simplify]: iters left: 3 (92 enodes) 169.515 * * [simplify]: Extracting #0: cost 1 inf + 0 169.515 * * [simplify]: Extracting #1: cost 4 inf + 0 169.515 * * [simplify]: Extracting #2: cost 8 inf + 0 169.515 * * [simplify]: Extracting #3: cost 14 inf + 0 169.515 * * [simplify]: Extracting #4: cost 20 inf + 1 169.515 * * [simplify]: Extracting #5: cost 23 inf + 43 169.516 * * [simplify]: Extracting #6: cost 20 inf + 209 169.516 * * [simplify]: Extracting #7: cost 15 inf + 620 169.517 * * [simplify]: Extracting #8: cost 6 inf + 2327 169.518 * * [simplify]: Extracting #9: cost 1 inf + 3782 169.522 * * [simplify]: Extracting #10: cost 0 inf + 4065 169.524 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3))))))) 169.524 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (+ (sqrt (+ 1 (* (* v v) 3))) (* (* v v) (sqrt (+ 1 (* (* v v) 3))))))))) 169.524 * * * * [progress]: [ 304 / 458 ] simplifiying candidate # 169.524 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 169.524 * * [simplify]: iters left: 6 (26 enodes) 169.533 * * [simplify]: iters left: 5 (115 enodes) 169.558 * * [simplify]: iters left: 4 (272 enodes) 169.638 * * [simplify]: Extracting #0: cost 1 inf + 0 169.638 * * [simplify]: Extracting #1: cost 4 inf + 0 169.638 * * [simplify]: Extracting #2: cost 8 inf + 0 169.638 * * [simplify]: Extracting #3: cost 32 inf + 0 169.638 * * [simplify]: Extracting #4: cost 105 inf + 1 169.639 * * [simplify]: Extracting #5: cost 164 inf + 578 169.640 * * [simplify]: Extracting #6: cost 164 inf + 4770 169.644 * * [simplify]: Extracting #7: cost 104 inf + 19581 169.654 * * [simplify]: Extracting #8: cost 20 inf + 42362 169.663 * * [simplify]: Extracting #9: cost 0 inf + 49404 169.673 * * [simplify]: Extracting #10: cost 0 inf + 49364 169.683 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) 169.683 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 169.683 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 169.684 * * [simplify]: iters left: 6 (17 enodes) 169.698 * * [simplify]: iters left: 5 (67 enodes) 169.722 * * [simplify]: iters left: 4 (119 enodes) 169.761 * * [simplify]: iters left: 3 (221 enodes) 169.821 * * [simplify]: iters left: 2 (304 enodes) 169.889 * * [simplify]: iters left: 1 (388 enodes) 169.990 * * [simplify]: Extracting #0: cost 1 inf + 0 169.990 * * [simplify]: Extracting #1: cost 4 inf + 0 169.990 * * [simplify]: Extracting #2: cost 8 inf + 0 169.990 * * [simplify]: Extracting #3: cost 19 inf + 0 169.990 * * [simplify]: Extracting #4: cost 45 inf + 2 169.992 * * [simplify]: Extracting #5: cost 59 inf + 3485 169.995 * * [simplify]: Extracting #6: cost 38 inf + 6286 170.000 * * [simplify]: Extracting #7: cost 3 inf + 14235 170.005 * * [simplify]: Extracting #8: cost 0 inf + 14924 170.010 * [simplify]: Simplified to (* (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4)) (sqrt (sqrt (+ 1 (* v (* v 3)))))) 170.010 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) 4) 4)) (sqrt (sqrt (+ 1 (* v (* v 3)))))))) 170.011 * * * * [progress]: [ 305 / 458 ] simplifiying candidate # 170.011 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 170.011 * * [simplify]: iters left: 6 (25 enodes) 170.026 * * [simplify]: iters left: 5 (108 enodes) 170.052 * * [simplify]: iters left: 4 (236 enodes) 170.495 * * [simplify]: Extracting #0: cost 1 inf + 0 170.496 * * [simplify]: Extracting #1: cost 4 inf + 0 170.496 * * [simplify]: Extracting #2: cost 8 inf + 0 170.496 * * [simplify]: Extracting #3: cost 32 inf + 0 170.496 * * [simplify]: Extracting #4: cost 93 inf + 1 170.497 * * [simplify]: Extracting #5: cost 118 inf + 578 170.499 * * [simplify]: Extracting #6: cost 126 inf + 2933 170.503 * * [simplify]: Extracting #7: cost 87 inf + 9921 170.514 * * [simplify]: Extracting #8: cost 19 inf + 27041 170.529 * * [simplify]: Extracting #9: cost 0 inf + 33519 170.544 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt 2)))) 170.544 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt 2)))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))))) 170.545 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))) 170.545 * * [simplify]: iters left: 6 (13 enodes) 170.558 * * [simplify]: iters left: 5 (54 enodes) 170.570 * * [simplify]: iters left: 4 (70 enodes) 170.580 * * [simplify]: iters left: 3 (74 enodes) 170.590 * * [simplify]: Extracting #0: cost 1 inf + 0 170.590 * * [simplify]: Extracting #1: cost 4 inf + 0 170.590 * * [simplify]: Extracting #2: cost 8 inf + 0 170.590 * * [simplify]: Extracting #3: cost 14 inf + 0 170.590 * * [simplify]: Extracting #4: cost 21 inf + 1 170.590 * * [simplify]: Extracting #5: cost 22 inf + 86 170.590 * * [simplify]: Extracting #6: cost 12 inf + 1066 170.590 * * [simplify]: Extracting #7: cost 7 inf + 1518 170.591 * * [simplify]: Extracting #8: cost 1 inf + 2696 170.592 * * [simplify]: Extracting #9: cost 0 inf + 3100 170.593 * [simplify]: Simplified to (* (sqrt (+ (* (* v 4) v) 4)) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 170.593 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v)))) (sqrt 2)))) (* (sqrt (+ (* (* v 4) v) 4)) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 170.594 * * * * [progress]: [ 306 / 458 ] simplifiying candidate # 170.594 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 170.594 * * [simplify]: iters left: 6 (26 enodes) 170.609 * * [simplify]: iters left: 5 (117 enodes) 170.634 * * [simplify]: iters left: 4 (286 enodes) 170.713 * * [simplify]: Extracting #0: cost 1 inf + 0 170.713 * * [simplify]: Extracting #1: cost 4 inf + 0 170.713 * * [simplify]: Extracting #2: cost 8 inf + 0 170.713 * * [simplify]: Extracting #3: cost 39 inf + 0 170.714 * * [simplify]: Extracting #4: cost 128 inf + 1 170.714 * * [simplify]: Extracting #5: cost 189 inf + 250 170.717 * * [simplify]: Extracting #6: cost 173 inf + 9747 170.732 * * [simplify]: Extracting #7: cost 59 inf + 39092 170.754 * * [simplify]: Extracting #8: cost 0 inf + 57630 170.766 * * [simplify]: Extracting #9: cost 0 inf + 57550 170.785 * [simplify]: Simplified to (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4))))) 170.785 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 170.786 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 170.786 * * [simplify]: iters left: 6 (15 enodes) 170.795 * * [simplify]: iters left: 5 (55 enodes) 170.807 * * [simplify]: iters left: 4 (89 enodes) 170.823 * * [simplify]: iters left: 3 (119 enodes) 170.855 * * [simplify]: iters left: 2 (145 enodes) 170.893 * * [simplify]: iters left: 1 (176 enodes) 170.946 * * [simplify]: Extracting #0: cost 1 inf + 0 170.946 * * [simplify]: Extracting #1: cost 4 inf + 0 170.946 * * [simplify]: Extracting #2: cost 8 inf + 0 170.946 * * [simplify]: Extracting #3: cost 17 inf + 0 170.946 * * [simplify]: Extracting #4: cost 34 inf + 1 170.946 * * [simplify]: Extracting #5: cost 47 inf + 247 170.948 * * [simplify]: Extracting #6: cost 28 inf + 2548 170.950 * * [simplify]: Extracting #7: cost 6 inf + 6780 170.952 * * [simplify]: Extracting #8: cost 1 inf + 8304 170.955 * * [simplify]: Extracting #9: cost 0 inf + 8747 170.957 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 170.957 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v)))))))) 170.958 * * * * [progress]: [ 307 / 458 ] simplifiying candidate # 170.958 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 170.959 * * [simplify]: iters left: 6 (25 enodes) 170.976 * * [simplify]: iters left: 5 (110 enodes) 171.017 * * [simplify]: iters left: 4 (250 enodes) 171.100 * * [simplify]: Extracting #0: cost 1 inf + 0 171.100 * * [simplify]: Extracting #1: cost 4 inf + 0 171.100 * * [simplify]: Extracting #2: cost 8 inf + 0 171.100 * * [simplify]: Extracting #3: cost 39 inf + 0 171.101 * * [simplify]: Extracting #4: cost 113 inf + 1 171.102 * * [simplify]: Extracting #5: cost 140 inf + 291 171.104 * * [simplify]: Extracting #6: cost 143 inf + 3261 171.108 * * [simplify]: Extracting #7: cost 106 inf + 10452 171.118 * * [simplify]: Extracting #8: cost 41 inf + 25797 171.130 * * [simplify]: Extracting #9: cost 3 inf + 38884 171.139 * * [simplify]: Extracting #10: cost 0 inf + 39775 171.148 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) 171.148 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* v v)))))) 171.149 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* v v)))) 171.149 * * [simplify]: iters left: 6 (11 enodes) 171.152 * * [simplify]: iters left: 5 (41 enodes) 171.159 * * [simplify]: iters left: 4 (47 enodes) 171.166 * * [simplify]: Extracting #0: cost 1 inf + 0 171.166 * * [simplify]: Extracting #1: cost 4 inf + 0 171.166 * * [simplify]: Extracting #2: cost 8 inf + 0 171.167 * * [simplify]: Extracting #3: cost 13 inf + 0 171.167 * * [simplify]: Extracting #4: cost 16 inf + 1 171.167 * * [simplify]: Extracting #5: cost 17 inf + 43 171.167 * * [simplify]: Extracting #6: cost 12 inf + 413 171.167 * * [simplify]: Extracting #7: cost 7 inf + 864 171.167 * * [simplify]: Extracting #8: cost 3 inf + 1516 171.168 * * [simplify]: Extracting #9: cost 0 inf + 2365 171.168 * [simplify]: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 171.168 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* (* v v) (* v v))))))) (* (sqrt (+ (* v v) 1)) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 171.168 * * * * [progress]: [ 308 / 458 ] simplifiying candidate # 171.168 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 171.169 * * [simplify]: iters left: 6 (25 enodes) 171.177 * * [simplify]: iters left: 5 (112 enodes) 171.215 * * [simplify]: iters left: 4 (275 enodes) 171.361 * * [simplify]: Extracting #0: cost 1 inf + 0 171.361 * * [simplify]: Extracting #1: cost 4 inf + 0 171.362 * * [simplify]: Extracting #2: cost 8 inf + 0 171.362 * * [simplify]: Extracting #3: cost 30 inf + 0 171.362 * * [simplify]: Extracting #4: cost 82 inf + 1 171.363 * * [simplify]: Extracting #5: cost 100 inf + 86 171.364 * * [simplify]: Extracting #6: cost 163 inf + 1231 171.367 * * [simplify]: Extracting #7: cost 186 inf + 3758 171.375 * * [simplify]: Extracting #8: cost 106 inf + 18953 171.393 * * [simplify]: Extracting #9: cost 11 inf + 43253 171.415 * * [simplify]: Extracting #10: cost 0 inf + 47033 171.437 * * [simplify]: Extracting #11: cost 0 inf + 46993 171.462 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) 171.462 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 171.463 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 171.463 * * [simplify]: iters left: 6 (18 enodes) 171.474 * * [simplify]: iters left: 5 (76 enodes) 171.505 * * [simplify]: iters left: 4 (148 enodes) 171.570 * * [simplify]: iters left: 3 (239 enodes) 171.675 * * [simplify]: iters left: 2 (362 enodes) 171.820 * * [simplify]: iters left: 1 (468 enodes) 171.906 * * [simplify]: Extracting #0: cost 1 inf + 0 171.906 * * [simplify]: Extracting #1: cost 4 inf + 0 171.906 * * [simplify]: Extracting #2: cost 8 inf + 0 171.907 * * [simplify]: Extracting #3: cost 13 inf + 0 171.907 * * [simplify]: Extracting #4: cost 17 inf + 1 171.907 * * [simplify]: Extracting #5: cost 25 inf + 2 171.907 * * [simplify]: Extracting #6: cost 47 inf + 45 171.908 * * [simplify]: Extracting #7: cost 68 inf + 1435 171.914 * * [simplify]: Extracting #8: cost 38 inf + 5958 171.919 * * [simplify]: Extracting #9: cost 5 inf + 14558 171.925 * * [simplify]: Extracting #10: cost 0 inf + 15780 171.931 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4))) 171.931 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v))))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4))))) 171.932 * * * * [progress]: [ 309 / 458 ] simplifiying candidate # 171.932 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 171.932 * * [simplify]: iters left: 6 (21 enodes) 171.945 * * [simplify]: iters left: 5 (87 enodes) 171.977 * * [simplify]: iters left: 4 (181 enodes) 172.055 * * [simplify]: iters left: 3 (420 enodes) 172.215 * * [simplify]: Extracting #0: cost 1 inf + 0 172.216 * * [simplify]: Extracting #1: cost 4 inf + 0 172.216 * * [simplify]: Extracting #2: cost 8 inf + 0 172.216 * * [simplify]: Extracting #3: cost 41 inf + 0 172.221 * * [simplify]: Extracting #4: cost 115 inf + 2 172.222 * * [simplify]: Extracting #5: cost 126 inf + 743 172.224 * * [simplify]: Extracting #6: cost 127 inf + 4087 172.228 * * [simplify]: Extracting #7: cost 110 inf + 9301 172.234 * * [simplify]: Extracting #8: cost 71 inf + 13383 172.246 * * [simplify]: Extracting #9: cost 48 inf + 20242 172.268 * * [simplify]: Extracting #10: cost 5 inf + 34578 172.285 * * [simplify]: Extracting #11: cost 0 inf + 36359 172.297 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (/ (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* v v)))))) 172.297 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (/ (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 172.298 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 172.298 * * [simplify]: iters left: 6 (12 enodes) 172.302 * * [simplify]: iters left: 5 (44 enodes) 172.309 * * [simplify]: iters left: 4 (50 enodes) 172.318 * * [simplify]: Extracting #0: cost 1 inf + 0 172.318 * * [simplify]: Extracting #1: cost 4 inf + 0 172.318 * * [simplify]: Extracting #2: cost 8 inf + 0 172.318 * * [simplify]: Extracting #3: cost 12 inf + 0 172.318 * * [simplify]: Extracting #4: cost 14 inf + 1 172.318 * * [simplify]: Extracting #5: cost 18 inf + 2 172.318 * * [simplify]: Extracting #6: cost 17 inf + 45 172.319 * * [simplify]: Extracting #7: cost 10 inf + 580 172.319 * * [simplify]: Extracting #8: cost 4 inf + 1720 172.320 * * [simplify]: Extracting #9: cost 2 inf + 2288 172.321 * * [simplify]: Extracting #10: cost 0 inf + 2856 172.322 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))) 172.322 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4))))) 172.322 * * * * [progress]: [ 310 / 458 ] simplifiying candidate # 172.323 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 172.323 * * [simplify]: iters left: 6 (25 enodes) 172.342 * * [simplify]: iters left: 5 (114 enodes) 172.388 * * [simplify]: iters left: 4 (287 enodes) 172.524 * * [simplify]: Extracting #0: cost 1 inf + 0 172.524 * * [simplify]: Extracting #1: cost 4 inf + 0 172.524 * * [simplify]: Extracting #2: cost 8 inf + 0 172.524 * * [simplify]: Extracting #3: cost 35 inf + 0 172.525 * * [simplify]: Extracting #4: cost 97 inf + 1 172.525 * * [simplify]: Extracting #5: cost 114 inf + 168 172.527 * * [simplify]: Extracting #6: cost 175 inf + 1720 172.532 * * [simplify]: Extracting #7: cost 170 inf + 12603 172.547 * * [simplify]: Extracting #8: cost 60 inf + 33065 172.568 * * [simplify]: Extracting #9: cost 13 inf + 47392 172.592 * * [simplify]: Extracting #10: cost 0 inf + 53277 172.621 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 172.621 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 172.622 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 172.622 * * [simplify]: iters left: 6 (16 enodes) 172.632 * * [simplify]: iters left: 5 (69 enodes) 172.661 * * [simplify]: iters left: 4 (142 enodes) 172.723 * * [simplify]: iters left: 3 (229 enodes) 172.847 * * [simplify]: iters left: 2 (352 enodes) 172.968 * * [simplify]: iters left: 1 (479 enodes) 173.077 * * [simplify]: Extracting #0: cost 1 inf + 0 173.077 * * [simplify]: Extracting #1: cost 4 inf + 0 173.077 * * [simplify]: Extracting #2: cost 8 inf + 0 173.077 * * [simplify]: Extracting #3: cost 12 inf + 0 173.077 * * [simplify]: Extracting #4: cost 19 inf + 0 173.078 * * [simplify]: Extracting #5: cost 50 inf + 1 173.078 * * [simplify]: Extracting #6: cost 83 inf + 126 173.079 * * [simplify]: Extracting #7: cost 46 inf + 6154 173.082 * * [simplify]: Extracting #8: cost 14 inf + 13439 173.084 * * [simplify]: Extracting #9: cost 0 inf + 16851 173.087 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))) 173.088 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (* (sqrt (sqrt (+ 1 (* (+ 1 (* (* v v) 3)) (* (* v v) 3))))) (sqrt (sqrt (+ 1 (* (* v v) 3))))))) 173.088 * * * * [progress]: [ 311 / 458 ] simplifiying candidate # 173.088 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 173.088 * * [simplify]: iters left: 6 (18 enodes) 173.094 * * [simplify]: iters left: 5 (73 enodes) 173.109 * * [simplify]: iters left: 4 (164 enodes) 173.147 * * [simplify]: iters left: 3 (376 enodes) 173.328 * * [simplify]: Extracting #0: cost 1 inf + 0 173.328 * * [simplify]: Extracting #1: cost 30 inf + 0 173.328 * * [simplify]: Extracting #2: cost 82 inf + 2 173.329 * * [simplify]: Extracting #3: cost 104 inf + 249 173.331 * * [simplify]: Extracting #4: cost 100 inf + 3473 173.334 * * [simplify]: Extracting #5: cost 91 inf + 7512 173.346 * * [simplify]: Extracting #6: cost 19 inf + 23337 173.364 * * [simplify]: Extracting #7: cost 1 inf + 28363 173.383 * * [simplify]: Extracting #8: cost 0 inf + 28575 173.401 * [simplify]: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))) 173.401 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 173.401 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 173.401 * * [simplify]: iters left: 6 (9 enodes) 173.407 * * [simplify]: iters left: 5 (31 enodes) 173.417 * * [simplify]: iters left: 4 (38 enodes) 173.428 * * [simplify]: Extracting #0: cost 1 inf + 0 173.428 * * [simplify]: Extracting #1: cost 4 inf + 0 173.428 * * [simplify]: Extracting #2: cost 8 inf + 0 173.428 * * [simplify]: Extracting #3: cost 12 inf + 1 173.428 * * [simplify]: Extracting #4: cost 10 inf + 86 173.428 * * [simplify]: Extracting #5: cost 6 inf + 374 173.429 * * [simplify]: Extracting #6: cost 1 inf + 1108 173.430 * * [simplify]: Extracting #7: cost 0 inf + 1311 173.430 * [simplify]: Simplified to (sqrt (+ 1 (* (* v 3) v))) 173.430 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (- 1 (* v v)))) (sqrt (+ 1 (* (* v 3) v))))) 173.430 * * * * [progress]: [ 312 / 458 ] simplifiying candidate # 173.431 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 173.431 * * [simplify]: iters left: 6 (23 enodes) 173.445 * * [simplify]: iters left: 5 (97 enodes) 173.471 * * [simplify]: iters left: 4 (216 enodes) 173.525 * * [simplify]: iters left: 3 (491 enodes) 173.733 * * [simplify]: Extracting #0: cost 1 inf + 0 173.733 * * [simplify]: Extracting #1: cost 4 inf + 0 173.733 * * [simplify]: Extracting #2: cost 8 inf + 0 173.734 * * [simplify]: Extracting #3: cost 45 inf + 0 173.734 * * [simplify]: Extracting #4: cost 114 inf + 2 173.735 * * [simplify]: Extracting #5: cost 142 inf + 576 173.739 * * [simplify]: Extracting #6: cost 130 inf + 5511 173.743 * * [simplify]: Extracting #7: cost 127 inf + 8399 173.752 * * [simplify]: Extracting #8: cost 78 inf + 16937 173.772 * * [simplify]: Extracting #9: cost 14 inf + 35225 173.798 * * [simplify]: Extracting #10: cost 0 inf + 39638 173.823 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* -3 (* v v)) 1)) (* (sqrt 2) (- 1 (* v v)))))) 173.823 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (+ (* -3 (* v v)) 1)) (* (sqrt 2) (- 1 (* v v)))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4)))) 173.823 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4)) 173.823 * * [simplify]: iters left: 6 (11 enodes) 173.830 * * [simplify]: iters left: 5 (41 enodes) 173.844 * * [simplify]: iters left: 4 (47 enodes) 173.858 * * [simplify]: Extracting #0: cost 1 inf + 0 173.858 * * [simplify]: Extracting #1: cost 4 inf + 0 173.858 * * [simplify]: Extracting #2: cost 5 inf + 1 173.858 * * [simplify]: Extracting #3: cost 7 inf + 1 173.858 * * [simplify]: Extracting #4: cost 10 inf + 1 173.858 * * [simplify]: Extracting #5: cost 14 inf + 2 173.859 * * [simplify]: Extracting #6: cost 12 inf + 87 173.859 * * [simplify]: Extracting #7: cost 7 inf + 457 173.859 * * [simplify]: Extracting #8: cost 3 inf + 1109 173.860 * * [simplify]: Extracting #9: cost 0 inf + 1800 173.860 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) 2) 173.860 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) 2))) 173.861 * * * * [progress]: [ 313 / 458 ] simplifiying candidate # 173.861 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 173.861 * * [simplify]: iters left: 6 (23 enodes) 173.876 * * [simplify]: iters left: 5 (108 enodes) 173.925 * * [simplify]: iters left: 4 (274 enodes) 174.052 * * [simplify]: Extracting #0: cost 1 inf + 0 174.052 * * [simplify]: Extracting #1: cost 4 inf + 0 174.052 * * [simplify]: Extracting #2: cost 8 inf + 0 174.052 * * [simplify]: Extracting #3: cost 25 inf + 0 174.052 * * [simplify]: Extracting #4: cost 86 inf + 0 174.052 * * [simplify]: Extracting #5: cost 149 inf + 288 174.054 * * [simplify]: Extracting #6: cost 181 inf + 3853 174.057 * * [simplify]: Extracting #7: cost 152 inf + 17131 174.065 * * [simplify]: Extracting #8: cost 51 inf + 39887 174.075 * * [simplify]: Extracting #9: cost 13 inf + 53817 174.087 * * [simplify]: Extracting #10: cost 0 inf + 59130 174.108 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) 174.108 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 174.109 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 174.109 * * [simplify]: iters left: 6 (21 enodes) 174.122 * * [simplify]: iters left: 5 (98 enodes) 174.145 * * [simplify]: iters left: 4 (256 enodes) 174.247 * * [simplify]: Extracting #0: cost 1 inf + 0 174.247 * * [simplify]: Extracting #1: cost 4 inf + 0 174.247 * * [simplify]: Extracting #2: cost 5 inf + 1 174.247 * * [simplify]: Extracting #3: cost 27 inf + 1 174.248 * * [simplify]: Extracting #4: cost 71 inf + 3 174.248 * * [simplify]: Extracting #5: cost 92 inf + 208 174.250 * * [simplify]: Extracting #6: cost 77 inf + 4559 174.258 * * [simplify]: Extracting #7: cost 38 inf + 17099 174.275 * * [simplify]: Extracting #8: cost 1 inf + 27092 174.293 * * [simplify]: Extracting #9: cost 0 inf + 27617 174.311 * [simplify]: Simplified to (* (sqrt (* (+ (* (* v v) (* (+ 1 (* v v)) 4)) 4) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))) 2) 174.311 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* (* v v) (* v v)))) (sqrt 2)) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))))) (* (sqrt (* (+ (* (* v v) (* (+ 1 (* v v)) 4)) 4) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))) 2))) 174.311 * * * * [progress]: [ 314 / 458 ] simplifiying candidate # 174.312 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 174.312 * * [simplify]: iters left: 6 (24 enodes) 174.327 * * [simplify]: iters left: 5 (106 enodes) 174.372 * * [simplify]: iters left: 4 (253 enodes) 174.498 * * [simplify]: Extracting #0: cost 1 inf + 0 174.499 * * [simplify]: Extracting #1: cost 4 inf + 0 174.499 * * [simplify]: Extracting #2: cost 8 inf + 0 174.499 * * [simplify]: Extracting #3: cost 23 inf + 0 174.499 * * [simplify]: Extracting #4: cost 72 inf + 0 174.500 * * [simplify]: Extracting #5: cost 102 inf + 126 174.501 * * [simplify]: Extracting #6: cost 133 inf + 3419 174.508 * * [simplify]: Extracting #7: cost 110 inf + 20778 174.521 * * [simplify]: Extracting #8: cost 32 inf + 36903 174.539 * * [simplify]: Extracting #9: cost 2 inf + 45572 174.558 * * [simplify]: Extracting #10: cost 0 inf + 44559 174.577 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) 27) (* v (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) 174.577 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) 27) (* v (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))))) 174.578 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) 174.578 * * [simplify]: iters left: 6 (18 enodes) 174.590 * * [simplify]: iters left: 5 (86 enodes) 174.628 * * [simplify]: iters left: 4 (208 enodes) 174.723 * * [simplify]: iters left: 3 (334 enodes) 174.839 * * [simplify]: iters left: 2 (456 enodes) 174.965 * * [simplify]: iters left: 1 (499 enodes) 175.061 * * [simplify]: Extracting #0: cost 1 inf + 0 175.061 * * [simplify]: Extracting #1: cost 4 inf + 0 175.061 * * [simplify]: Extracting #2: cost 5 inf + 1 175.062 * * [simplify]: Extracting #3: cost 14 inf + 1 175.062 * * [simplify]: Extracting #4: cost 26 inf + 3 175.062 * * [simplify]: Extracting #5: cost 37 inf + 4 175.062 * * [simplify]: Extracting #6: cost 57 inf + 619 175.063 * * [simplify]: Extracting #7: cost 77 inf + 1600 175.066 * * [simplify]: Extracting #8: cost 38 inf + 10513 175.070 * * [simplify]: Extracting #9: cost 13 inf + 16489 175.075 * * [simplify]: Extracting #10: cost 1 inf + 19329 175.084 * * [simplify]: Extracting #11: cost 0 inf + 19541 175.096 * [simplify]: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (+ (* (* v v) 3) 1) (* (* v v) 3)) 1)) 4))) 2) 175.097 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) 27) (* v (* v v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (+ (* (* v v) 3) 1) (* (* v v) 3)) 1)) 4))) 2))) 175.097 * * * * [progress]: [ 315 / 458 ] simplifiying candidate # 175.097 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 175.098 * * [simplify]: iters left: 6 (24 enodes) 175.111 * * [simplify]: iters left: 5 (107 enodes) 175.137 * * [simplify]: iters left: 4 (252 enodes) 175.211 * * [simplify]: Extracting #0: cost 1 inf + 0 175.211 * * [simplify]: Extracting #1: cost 4 inf + 0 175.211 * * [simplify]: Extracting #2: cost 8 inf + 0 175.211 * * [simplify]: Extracting #3: cost 23 inf + 0 175.211 * * [simplify]: Extracting #4: cost 84 inf + 0 175.212 * * [simplify]: Extracting #5: cost 145 inf + 731 175.213 * * [simplify]: Extracting #6: cost 133 inf + 7975 175.221 * * [simplify]: Extracting #7: cost 66 inf + 24996 175.234 * * [simplify]: Extracting #8: cost 28 inf + 33300 175.251 * * [simplify]: Extracting #9: cost 0 inf + 44594 175.268 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 175.268 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 175.269 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 175.269 * * [simplify]: iters left: 6 (18 enodes) 175.276 * * [simplify]: iters left: 5 (75 enodes) 175.294 * * [simplify]: iters left: 4 (165 enodes) 175.356 * * [simplify]: iters left: 3 (396 enodes) 175.568 * * [simplify]: Extracting #0: cost 1 inf + 0 175.569 * * [simplify]: Extracting #1: cost 4 inf + 0 175.569 * * [simplify]: Extracting #2: cost 5 inf + 1 175.569 * * [simplify]: Extracting #3: cost 27 inf + 1 175.569 * * [simplify]: Extracting #4: cost 79 inf + 3 175.570 * * [simplify]: Extracting #5: cost 115 inf + 292 175.573 * * [simplify]: Extracting #6: cost 75 inf + 6337 175.584 * * [simplify]: Extracting #7: cost 10 inf + 21905 175.593 * * [simplify]: Extracting #8: cost 0 inf + 24780 175.600 * [simplify]: Simplified to (* 2 (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) 175.601 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* 2 (sqrt (* (* 4 (sqrt (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))))) 175.601 * * * * [progress]: [ 316 / 458 ] simplifiying candidate # 175.601 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 175.601 * * [simplify]: iters left: 6 (23 enodes) 175.608 * * [simplify]: iters left: 5 (100 enodes) 175.639 * * [simplify]: iters left: 4 (216 enodes) 175.708 * * [simplify]: iters left: 3 (479 enodes) 175.905 * * [simplify]: Extracting #0: cost 1 inf + 0 175.905 * * [simplify]: Extracting #1: cost 4 inf + 0 175.905 * * [simplify]: Extracting #2: cost 8 inf + 0 175.905 * * [simplify]: Extracting #3: cost 30 inf + 0 175.905 * * [simplify]: Extracting #4: cost 111 inf + 1 175.907 * * [simplify]: Extracting #5: cost 166 inf + 329 175.910 * * [simplify]: Extracting #6: cost 132 inf + 7837 175.918 * * [simplify]: Extracting #7: cost 99 inf + 16657 175.927 * * [simplify]: Extracting #8: cost 13 inf + 39253 175.941 * * [simplify]: Extracting #9: cost 0 inf + 43872 175.962 * * [simplify]: Extracting #10: cost 0 inf + 43712 175.989 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 175.989 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))))) 175.990 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) 175.990 * * [simplify]: iters left: 6 (14 enodes) 175.999 * * [simplify]: iters left: 5 (61 enodes) 176.011 * * [simplify]: iters left: 4 (105 enodes) 176.032 * * [simplify]: iters left: 3 (167 enodes) 176.096 * * [simplify]: iters left: 2 (220 enodes) 176.147 * * [simplify]: iters left: 1 (224 enodes) 176.181 * * [simplify]: Extracting #0: cost 1 inf + 0 176.181 * * [simplify]: Extracting #1: cost 4 inf + 0 176.181 * * [simplify]: Extracting #2: cost 5 inf + 1 176.181 * * [simplify]: Extracting #3: cost 14 inf + 1 176.181 * * [simplify]: Extracting #4: cost 26 inf + 3 176.182 * * [simplify]: Extracting #5: cost 32 inf + 45 176.182 * * [simplify]: Extracting #6: cost 28 inf + 578 176.183 * * [simplify]: Extracting #7: cost 25 inf + 785 176.184 * * [simplify]: Extracting #8: cost 14 inf + 2537 176.187 * * [simplify]: Extracting #9: cost 3 inf + 5218 176.190 * * [simplify]: Extracting #10: cost 0 inf + 6191 176.194 * [simplify]: Simplified to (* 2 (sqrt (* 4 (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v v) 1))))) 176.194 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (* 2 (sqrt (* 4 (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v v) 1))))))) 176.194 * * * * [progress]: [ 317 / 458 ] simplifiying candidate # 176.195 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) 176.195 * * [simplify]: iters left: 6 (25 enodes) 176.212 * * [simplify]: iters left: 5 (116 enodes) 176.242 * * [simplify]: iters left: 4 (294 enodes) 176.369 * * [simplify]: Extracting #0: cost 1 inf + 0 176.369 * * [simplify]: Extracting #1: cost 4 inf + 0 176.369 * * [simplify]: Extracting #2: cost 8 inf + 0 176.369 * * [simplify]: Extracting #3: cost 34 inf + 0 176.370 * * [simplify]: Extracting #4: cost 107 inf + 1 176.370 * * [simplify]: Extracting #5: cost 167 inf + 493 176.371 * * [simplify]: Extracting #6: cost 195 inf + 5368 176.376 * * [simplify]: Extracting #7: cost 149 inf + 23819 176.383 * * [simplify]: Extracting #8: cost 61 inf + 42204 176.401 * * [simplify]: Extracting #9: cost 24 inf + 55940 176.419 * * [simplify]: Extracting #10: cost 0 inf + 66838 176.433 * * [simplify]: Extracting #11: cost 0 inf + 66758 176.458 * [simplify]: Simplified to (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) 176.458 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 176.459 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 176.459 * * [simplify]: iters left: 6 (20 enodes) 176.473 * * [simplify]: iters left: 5 (92 enodes) 176.510 * * [simplify]: iters left: 4 (214 enodes) 176.612 * * [simplify]: iters left: 3 (407 enodes) 176.767 * * [simplify]: Extracting #0: cost 1 inf + 0 176.767 * * [simplify]: Extracting #1: cost 4 inf + 0 176.767 * * [simplify]: Extracting #2: cost 5 inf + 1 176.767 * * [simplify]: Extracting #3: cost 15 inf + 1 176.767 * * [simplify]: Extracting #4: cost 39 inf + 2 176.768 * * [simplify]: Extracting #5: cost 60 inf + 3 176.768 * * [simplify]: Extracting #6: cost 66 inf + 2600 176.770 * * [simplify]: Extracting #7: cost 48 inf + 5352 176.773 * * [simplify]: Extracting #8: cost 18 inf + 11300 176.778 * * [simplify]: Extracting #9: cost 2 inf + 16361 176.783 * * [simplify]: Extracting #10: cost 0 inf + 17210 176.789 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) (+ 1 (+ (* (* v v) (* v v)) (* v v))))) 2) 176.789 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (/ (sqrt 2) 4) (- 1 (* (* v (* v v)) (* v (* v v)))))))) (* (sqrt (* (sqrt (+ (* (+ 3 (* 9 (* v v))) (* v v)) 1)) (+ 1 (+ (* (* v v) (* v v)) (* v v))))) 2))) 176.789 * * * * [progress]: [ 318 / 458 ] simplifiying candidate # 176.789 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) 176.789 * * [simplify]: iters left: 6 (26 enodes) 176.804 * * [simplify]: iters left: 5 (114 enodes) 176.848 * * [simplify]: iters left: 4 (273 enodes) 176.940 * * [simplify]: Extracting #0: cost 1 inf + 0 176.940 * * [simplify]: Extracting #1: cost 4 inf + 0 176.940 * * [simplify]: Extracting #2: cost 8 inf + 0 176.941 * * [simplify]: Extracting #3: cost 34 inf + 0 176.941 * * [simplify]: Extracting #4: cost 98 inf + 1 176.941 * * [simplify]: Extracting #5: cost 120 inf + 1028 176.943 * * [simplify]: Extracting #6: cost 148 inf + 6102 176.948 * * [simplify]: Extracting #7: cost 109 inf + 22639 176.964 * * [simplify]: Extracting #8: cost 18 inf + 46379 176.990 * * [simplify]: Extracting #9: cost 1 inf + 51563 177.013 * * [simplify]: Extracting #10: cost 0 inf + 51256 177.035 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) 177.035 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))))) 177.036 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) 177.036 * * [simplify]: iters left: 6 (17 enodes) 177.048 * * [simplify]: iters left: 5 (80 enodes) 177.081 * * [simplify]: iters left: 4 (174 enodes) 177.161 * * [simplify]: iters left: 3 (275 enodes) 177.279 * * [simplify]: iters left: 2 (350 enodes) 177.411 * * [simplify]: iters left: 1 (397 enodes) 177.502 * * [simplify]: Extracting #0: cost 1 inf + 0 177.502 * * [simplify]: Extracting #1: cost 4 inf + 0 177.502 * * [simplify]: Extracting #2: cost 5 inf + 1 177.502 * * [simplify]: Extracting #3: cost 10 inf + 1 177.502 * * [simplify]: Extracting #4: cost 16 inf + 2 177.503 * * [simplify]: Extracting #5: cost 23 inf + 3 177.503 * * [simplify]: Extracting #6: cost 47 inf + 167 177.503 * * [simplify]: Extracting #7: cost 74 inf + 945 177.504 * * [simplify]: Extracting #8: cost 51 inf + 3332 177.507 * * [simplify]: Extracting #9: cost 8 inf + 14480 177.510 * * [simplify]: Extracting #10: cost 0 inf + 16744 177.516 * [simplify]: Simplified to (* 2 (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (+ (* (* 3 v) v) 1) (* (* 3 v) v)) 1))))) 177.516 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (sqrt 2) (sqrt (+ 1 (* -27 (* (* v v) (* (* v v) (* v v))))))) (/ 4 (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* 2 (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (+ (* (* 3 v) v) 1) (* (* 3 v) v)) 1))))))) 177.517 * * * * [progress]: [ 319 / 458 ] simplifiying candidate # 177.517 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) 177.517 * * [simplify]: iters left: 6 (26 enodes) 177.536 * * [simplify]: iters left: 5 (115 enodes) 177.582 * * [simplify]: iters left: 4 (272 enodes) 177.696 * * [simplify]: Extracting #0: cost 1 inf + 0 177.697 * * [simplify]: Extracting #1: cost 4 inf + 0 177.697 * * [simplify]: Extracting #2: cost 8 inf + 0 177.697 * * [simplify]: Extracting #3: cost 34 inf + 0 177.697 * * [simplify]: Extracting #4: cost 107 inf + 1 177.697 * * [simplify]: Extracting #5: cost 171 inf + 127 177.699 * * [simplify]: Extracting #6: cost 169 inf + 4441 177.702 * * [simplify]: Extracting #7: cost 105 inf + 19524 177.707 * * [simplify]: Extracting #8: cost 61 inf + 28081 177.715 * * [simplify]: Extracting #9: cost 22 inf + 43153 177.725 * * [simplify]: Extracting #10: cost 0 inf + 52308 177.736 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (/ (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) 4))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) 177.736 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (/ (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) 4))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 177.736 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 177.736 * * [simplify]: iters left: 6 (17 enodes) 177.745 * * [simplify]: iters left: 5 (68 enodes) 177.774 * * [simplify]: iters left: 4 (120 enodes) 177.822 * * [simplify]: iters left: 3 (243 enodes) 177.903 * * [simplify]: iters left: 2 (327 enodes) 177.979 * * [simplify]: iters left: 1 (387 enodes) 178.100 * * [simplify]: Extracting #0: cost 1 inf + 0 178.100 * * [simplify]: Extracting #1: cost 4 inf + 0 178.100 * * [simplify]: Extracting #2: cost 5 inf + 1 178.100 * * [simplify]: Extracting #3: cost 14 inf + 1 178.100 * * [simplify]: Extracting #4: cost 40 inf + 2 178.100 * * [simplify]: Extracting #5: cost 71 inf + 3 178.101 * * [simplify]: Extracting #6: cost 56 inf + 2589 178.103 * * [simplify]: Extracting #7: cost 8 inf + 14968 178.107 * * [simplify]: Extracting #8: cost 0 inf + 17152 178.111 * [simplify]: Simplified to (* 2 (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))) 178.111 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (+ (* (* v v) (* (* v v) -9)) 1)) (/ (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v)))) 4))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* 2 (sqrt (+ (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* 3 (* v v))))))))) 178.111 * * * * [progress]: [ 320 / 458 ] simplifiying candidate # 178.112 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) 178.112 * * [simplify]: iters left: 6 (25 enodes) 178.120 * * [simplify]: iters left: 5 (108 enodes) 178.157 * * [simplify]: iters left: 4 (236 enodes) 178.236 * * [simplify]: Extracting #0: cost 1 inf + 0 178.236 * * [simplify]: Extracting #1: cost 4 inf + 0 178.237 * * [simplify]: Extracting #2: cost 8 inf + 0 178.237 * * [simplify]: Extracting #3: cost 32 inf + 0 178.237 * * [simplify]: Extracting #4: cost 93 inf + 1 178.238 * * [simplify]: Extracting #5: cost 122 inf + 298 178.240 * * [simplify]: Extracting #6: cost 120 inf + 4157 178.245 * * [simplify]: Extracting #7: cost 70 inf + 15157 178.255 * * [simplify]: Extracting #8: cost 35 inf + 20851 178.268 * * [simplify]: Extracting #9: cost 7 inf + 30729 178.284 * * [simplify]: Extracting #10: cost 0 inf + 33725 178.302 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) 178.302 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))))) 178.303 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) 178.303 * * [simplify]: iters left: 6 (13 enodes) 178.311 * * [simplify]: iters left: 5 (55 enodes) 178.327 * * [simplify]: iters left: 4 (71 enodes) 178.340 * * [simplify]: iters left: 3 (96 enodes) 178.355 * * [simplify]: Extracting #0: cost 1 inf + 0 178.355 * * [simplify]: Extracting #1: cost 4 inf + 0 178.355 * * [simplify]: Extracting #2: cost 5 inf + 1 178.356 * * [simplify]: Extracting #3: cost 10 inf + 1 178.356 * * [simplify]: Extracting #4: cost 16 inf + 2 178.356 * * [simplify]: Extracting #5: cost 17 inf + 126 178.356 * * [simplify]: Extracting #6: cost 18 inf + 249 178.356 * * [simplify]: Extracting #7: cost 17 inf + 292 178.356 * * [simplify]: Extracting #8: cost 10 inf + 1070 178.357 * * [simplify]: Extracting #9: cost 1 inf + 3258 178.358 * * [simplify]: Extracting #10: cost 0 inf + 3582 178.358 * [simplify]: Simplified to (* 2 (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))) 178.358 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* -9 (* (* v v) (* v v))) 1)) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) (* 2 (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v))))))))) 178.359 * * * * [progress]: [ 321 / 458 ] simplifiying candidate # 178.359 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 178.359 * * [simplify]: iters left: 6 (19 enodes) 178.365 * * [simplify]: iters left: 5 (85 enodes) 178.382 * * [simplify]: iters left: 4 (189 enodes) 178.438 * * [simplify]: iters left: 3 (469 enodes) 178.760 * * [simplify]: Extracting #0: cost 1 inf + 0 178.760 * * [simplify]: Extracting #1: cost 4 inf + 0 178.760 * * [simplify]: Extracting #2: cost 8 inf + 0 178.760 * * [simplify]: Extracting #3: cost 34 inf + 0 178.760 * * [simplify]: Extracting #4: cost 177 inf + 1 178.762 * * [simplify]: Extracting #5: cost 343 inf + 532 178.769 * * [simplify]: Extracting #6: cost 283 inf + 9806 178.776 * * [simplify]: Extracting #7: cost 155 inf + 50086 178.796 * * [simplify]: Extracting #8: cost 18 inf + 105776 178.829 * * [simplify]: Extracting #9: cost 0 inf + 113736 178.853 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2))))) 178.853 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2))))) (* (sqrt 4) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) 178.853 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 178.853 * * [simplify]: iters left: 6 (13 enodes) 178.860 * * [simplify]: iters left: 5 (52 enodes) 178.880 * * [simplify]: iters left: 4 (97 enodes) 178.917 * * [simplify]: iters left: 3 (190 enodes) 178.981 * * [simplify]: iters left: 2 (266 enodes) 179.044 * * [simplify]: iters left: 1 (347 enodes) 179.129 * * [simplify]: Extracting #0: cost 1 inf + 0 179.129 * * [simplify]: Extracting #1: cost 4 inf + 0 179.129 * * [simplify]: Extracting #2: cost 5 inf + 1 179.129 * * [simplify]: Extracting #3: cost 14 inf + 1 179.129 * * [simplify]: Extracting #4: cost 38 inf + 3 179.130 * * [simplify]: Extracting #5: cost 70 inf + 46 179.131 * * [simplify]: Extracting #6: cost 56 inf + 1631 179.134 * * [simplify]: Extracting #7: cost 15 inf + 10311 179.139 * * [simplify]: Extracting #8: cost 2 inf + 12709 179.144 * * [simplify]: Extracting #9: cost 0 inf + 13296 179.148 * [simplify]: Simplified to (* 2 (sqrt (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))) 179.149 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v (* v v)) (* v (* v v)))) (sqrt 2))))) (* 2 (sqrt (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))))) 179.151 * * * * [progress]: [ 322 / 458 ] simplifiying candidate # 179.152 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 179.152 * * [simplify]: iters left: 6 (19 enodes) 179.163 * * [simplify]: iters left: 5 (78 enodes) 179.191 * * [simplify]: iters left: 4 (153 enodes) 179.251 * * [simplify]: iters left: 3 (302 enodes) 179.396 * * [simplify]: Extracting #0: cost 1 inf + 0 179.396 * * [simplify]: Extracting #1: cost 4 inf + 0 179.396 * * [simplify]: Extracting #2: cost 8 inf + 0 179.396 * * [simplify]: Extracting #3: cost 30 inf + 0 179.397 * * [simplify]: Extracting #4: cost 98 inf + 1 179.398 * * [simplify]: Extracting #5: cost 139 inf + 493 179.401 * * [simplify]: Extracting #6: cost 89 inf + 8397 179.413 * * [simplify]: Extracting #7: cost 16 inf + 27319 179.431 * * [simplify]: Extracting #8: cost 0 inf + 31792 179.449 * [simplify]: Simplified to (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* v v)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) 179.449 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* v v)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt 4) (sqrt (* 4 (+ 1 (* v v))))))) 179.450 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* 4 (+ 1 (* v v))))) 179.450 * * [simplify]: iters left: 6 (9 enodes) 179.454 * * [simplify]: iters left: 5 (39 enodes) 179.461 * * [simplify]: iters left: 4 (51 enodes) 179.468 * * [simplify]: iters left: 3 (55 enodes) 179.476 * * [simplify]: Extracting #0: cost 1 inf + 0 179.476 * * [simplify]: Extracting #1: cost 4 inf + 0 179.476 * * [simplify]: Extracting #2: cost 5 inf + 1 179.476 * * [simplify]: Extracting #3: cost 9 inf + 1 179.476 * * [simplify]: Extracting #4: cost 14 inf + 2 179.476 * * [simplify]: Extracting #5: cost 12 inf + 128 179.476 * * [simplify]: Extracting #6: cost 5 inf + 700 179.477 * * [simplify]: Extracting #7: cost 0 inf + 1472 179.477 * [simplify]: Simplified to (* (sqrt (+ (* (* v 4) v) 4)) 2) 179.477 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (* (sqrt (+ (* (* v 4) v) 4)) 2))) 179.477 * * * * [progress]: [ 323 / 458 ] simplifiying candidate # 179.477 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) 179.477 * * [simplify]: iters left: 6 (22 enodes) 179.485 * * [simplify]: iters left: 5 (96 enodes) 179.523 * * [simplify]: iters left: 4 (212 enodes) 179.618 * * [simplify]: Extracting #0: cost 1 inf + 0 179.618 * * [simplify]: Extracting #1: cost 4 inf + 0 179.619 * * [simplify]: Extracting #2: cost 8 inf + 0 179.619 * * [simplify]: Extracting #3: cost 35 inf + 0 179.619 * * [simplify]: Extracting #4: cost 108 inf + 1 179.620 * * [simplify]: Extracting #5: cost 162 inf + 372 179.623 * * [simplify]: Extracting #6: cost 127 inf + 6618 179.633 * * [simplify]: Extracting #7: cost 35 inf + 32184 179.648 * * [simplify]: Extracting #8: cost 1 inf + 44614 179.656 * * [simplify]: Extracting #9: cost 0 inf + 44866 179.665 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) 4)) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))))) 179.665 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) 4)) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 179.665 * [simplify]: Simplifying (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 179.666 * * [simplify]: iters left: 6 (12 enodes) 179.670 * * [simplify]: iters left: 5 (42 enodes) 179.683 * * [simplify]: iters left: 4 (65 enodes) 179.701 * * [simplify]: iters left: 3 (102 enodes) 179.719 * * [simplify]: iters left: 2 (123 enodes) 179.749 * * [simplify]: iters left: 1 (147 enodes) 179.776 * * [simplify]: Extracting #0: cost 1 inf + 0 179.776 * * [simplify]: Extracting #1: cost 4 inf + 0 179.776 * * [simplify]: Extracting #2: cost 5 inf + 1 179.776 * * [simplify]: Extracting #3: cost 12 inf + 1 179.776 * * [simplify]: Extracting #4: cost 24 inf + 2 179.776 * * [simplify]: Extracting #5: cost 34 inf + 4 179.777 * * [simplify]: Extracting #6: cost 25 inf + 1975 179.778 * * [simplify]: Extracting #7: cost 9 inf + 4898 179.780 * * [simplify]: Extracting #8: cost 3 inf + 5516 179.782 * * [simplify]: Extracting #9: cost 0 inf + 6232 179.784 * [simplify]: Simplified to (* (sqrt (+ (+ (* v v) (* (* v v) (* v v))) 1)) 2) 179.784 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v (* v v)) (* v (* v v)))))) 4)) (sqrt (* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))))) (* (sqrt (+ (+ (* v v) (* (* v v) (* v v))) 1)) 2))) 179.784 * * * * [progress]: [ 324 / 458 ] simplifiying candidate # 179.785 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) 179.785 * * [simplify]: iters left: 6 (22 enodes) 179.798 * * [simplify]: iters left: 5 (89 enodes) 179.830 * * [simplify]: iters left: 4 (176 enodes) 179.906 * * [simplify]: iters left: 3 (383 enodes) 180.087 * * [simplify]: Extracting #0: cost 1 inf + 0 180.087 * * [simplify]: Extracting #1: cost 4 inf + 0 180.087 * * [simplify]: Extracting #2: cost 8 inf + 0 180.087 * * [simplify]: Extracting #3: cost 47 inf + 0 180.088 * * [simplify]: Extracting #4: cost 155 inf + 2 180.090 * * [simplify]: Extracting #5: cost 240 inf + 454 180.094 * * [simplify]: Extracting #6: cost 152 inf + 19406 180.108 * * [simplify]: Extracting #7: cost 13 inf + 57563 180.130 * * [simplify]: Extracting #8: cost 0 inf + 60931 180.163 * * [simplify]: Extracting #9: cost 0 inf + 60891 180.199 * [simplify]: Simplified to (* (sqrt (/ (- 1 (* (* v v) (* v v))) (/ 4 (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) 180.199 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* v v) (* v v))) (/ 4 (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* (sqrt 4) (sqrt (+ 1 (* v v)))))) 180.199 * [simplify]: Simplifying (* (sqrt 4) (sqrt (+ 1 (* v v)))) 180.199 * * [simplify]: iters left: 6 (8 enodes) 180.205 * * [simplify]: iters left: 5 (29 enodes) 180.214 * * [simplify]: iters left: 4 (31 enodes) 180.223 * * [simplify]: Extracting #0: cost 1 inf + 0 180.223 * * [simplify]: Extracting #1: cost 4 inf + 0 180.223 * * [simplify]: Extracting #2: cost 5 inf + 1 180.224 * * [simplify]: Extracting #3: cost 8 inf + 1 180.224 * * [simplify]: Extracting #4: cost 9 inf + 2 180.224 * * [simplify]: Extracting #5: cost 6 inf + 85 180.224 * * [simplify]: Extracting #6: cost 3 inf + 371 180.224 * * [simplify]: Extracting #7: cost 1 inf + 656 180.224 * * [simplify]: Extracting #8: cost 0 inf + 819 180.225 * [simplify]: Simplified to (* 2 (sqrt (+ 1 (* v v)))) 180.225 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (- 1 (* (* v v) (* v v))) (/ 4 (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* v v))))) (* 2 (sqrt (+ 1 (* v v)))))) 180.225 * * * * [progress]: [ 325 / 458 ] simplifiying candidate # 180.226 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 180.226 * * [simplify]: iters left: 6 (21 enodes) 180.239 * * [simplify]: iters left: 5 (94 enodes) 180.274 * * [simplify]: iters left: 4 (226 enodes) 180.363 * * [simplify]: Extracting #0: cost 1 inf + 0 180.363 * * [simplify]: Extracting #1: cost 4 inf + 0 180.363 * * [simplify]: Extracting #2: cost 8 inf + 0 180.363 * * [simplify]: Extracting #3: cost 25 inf + 0 180.364 * * [simplify]: Extracting #4: cost 62 inf + 0 180.364 * * [simplify]: Extracting #5: cost 78 inf + 208 180.365 * * [simplify]: Extracting #6: cost 132 inf + 1063 180.368 * * [simplify]: Extracting #7: cost 143 inf + 6622 180.379 * * [simplify]: Extracting #8: cost 44 inf + 27433 180.396 * * [simplify]: Extracting #9: cost 4 inf + 37573 180.412 * * [simplify]: Extracting #10: cost 0 inf + 38985 180.429 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) 180.429 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt 4) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))) 180.430 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 180.430 * * [simplify]: iters left: 6 (16 enodes) 180.445 * * [simplify]: iters left: 5 (70 enodes) 180.461 * * [simplify]: iters left: 4 (154 enodes) 180.508 * * [simplify]: iters left: 3 (243 enodes) 180.605 * * [simplify]: iters left: 2 (322 enodes) 180.756 * * [simplify]: iters left: 1 (383 enodes) 180.887 * * [simplify]: Extracting #0: cost 1 inf + 0 180.887 * * [simplify]: Extracting #1: cost 4 inf + 0 180.887 * * [simplify]: Extracting #2: cost 5 inf + 1 180.887 * * [simplify]: Extracting #3: cost 8 inf + 1 180.887 * * [simplify]: Extracting #4: cost 9 inf + 2 180.887 * * [simplify]: Extracting #5: cost 16 inf + 2 180.887 * * [simplify]: Extracting #6: cost 44 inf + 3 180.888 * * [simplify]: Extracting #7: cost 78 inf + 292 180.891 * * [simplify]: Extracting #8: cost 39 inf + 6426 180.896 * * [simplify]: Extracting #9: cost 13 inf + 11916 180.901 * * [simplify]: Extracting #10: cost 0 inf + 15995 180.907 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) (+ 3 (* (* v v) 9))) 1)) 4)) 2) 180.907 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* (* v v) (* (* v v) (* v v))) -27) 1))))) (* (sqrt (* (sqrt (+ (* (* v v) (+ 3 (* (* v v) 9))) 1)) 4)) 2))) 180.907 * * * * [progress]: [ 326 / 458 ] simplifiying candidate # 180.908 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 180.908 * * [simplify]: iters left: 6 (21 enodes) 180.920 * * [simplify]: iters left: 5 (89 enodes) 180.953 * * [simplify]: iters left: 4 (194 enodes) 181.031 * * [simplify]: iters left: 3 (416 enodes) 181.195 * * [simplify]: Extracting #0: cost 1 inf + 0 181.195 * * [simplify]: Extracting #1: cost 4 inf + 0 181.195 * * [simplify]: Extracting #2: cost 8 inf + 0 181.195 * * [simplify]: Extracting #3: cost 32 inf + 0 181.196 * * [simplify]: Extracting #4: cost 78 inf + 1 181.197 * * [simplify]: Extracting #5: cost 98 inf + 452 181.199 * * [simplify]: Extracting #6: cost 101 inf + 2978 181.203 * * [simplify]: Extracting #7: cost 87 inf + 8180 181.217 * * [simplify]: Extracting #8: cost 6 inf + 25384 181.236 * * [simplify]: Extracting #9: cost 0 inf + 27132 181.255 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* v v) -3) 1)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) 181.255 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* (* v v) -3) 1)))) (sqrt (* (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) (* (sqrt 4) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 181.255 * [simplify]: Simplifying (* (sqrt 4) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 181.256 * * [simplify]: iters left: 6 (12 enodes) 181.263 * * [simplify]: iters left: 5 (45 enodes) 181.278 * * [simplify]: iters left: 4 (51 enodes) 181.293 * * [simplify]: Extracting #0: cost 1 inf + 0 181.293 * * [simplify]: Extracting #1: cost 4 inf + 0 181.293 * * [simplify]: Extracting #2: cost 5 inf + 1 181.293 * * [simplify]: Extracting #3: cost 8 inf + 1 181.293 * * [simplify]: Extracting #4: cost 9 inf + 2 181.294 * * [simplify]: Extracting #5: cost 12 inf + 2 181.294 * * [simplify]: Extracting #6: cost 16 inf + 3 181.294 * * [simplify]: Extracting #7: cost 15 inf + 46 181.294 * * [simplify]: Extracting #8: cost 8 inf + 581 181.295 * * [simplify]: Extracting #9: cost 4 inf + 1315 181.295 * * [simplify]: Extracting #10: cost 2 inf + 1844 181.296 * * [simplify]: Extracting #11: cost 0 inf + 2373 181.297 * [simplify]: Simplified to (* 2 (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) 181.297 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* 2 (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))))) 181.297 * * * * [progress]: [ 327 / 458 ] simplifiying candidate # 181.298 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) 181.298 * * [simplify]: iters left: 6 (23 enodes) 181.316 * * [simplify]: iters left: 5 (102 enodes) 181.345 * * [simplify]: iters left: 4 (248 enodes) 181.436 * * [simplify]: Extracting #0: cost 1 inf + 0 181.437 * * [simplify]: Extracting #1: cost 4 inf + 0 181.437 * * [simplify]: Extracting #2: cost 8 inf + 0 181.437 * * [simplify]: Extracting #3: cost 30 inf + 0 181.437 * * [simplify]: Extracting #4: cost 82 inf + 1 181.438 * * [simplify]: Extracting #5: cost 99 inf + 127 181.439 * * [simplify]: Extracting #6: cost 144 inf + 1965 181.443 * * [simplify]: Extracting #7: cost 163 inf + 6192 181.452 * * [simplify]: Extracting #8: cost 75 inf + 23174 181.464 * * [simplify]: Extracting #9: cost 16 inf + 39969 181.474 * * [simplify]: Extracting #10: cost 0 inf + 46496 181.490 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) 181.490 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) (* (sqrt 4) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 181.491 * [simplify]: Simplifying (* (sqrt 4) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 181.491 * * [simplify]: iters left: 6 (15 enodes) 181.502 * * [simplify]: iters left: 5 (66 enodes) 181.517 * * [simplify]: iters left: 4 (150 enodes) 181.578 * * [simplify]: iters left: 3 (236 enodes) 181.662 * * [simplify]: iters left: 2 (306 enodes) 181.754 * * [simplify]: iters left: 1 (354 enodes) 181.853 * * [simplify]: Extracting #0: cost 1 inf + 0 181.854 * * [simplify]: Extracting #1: cost 4 inf + 0 181.854 * * [simplify]: Extracting #2: cost 5 inf + 1 181.854 * * [simplify]: Extracting #3: cost 7 inf + 1 181.854 * * [simplify]: Extracting #4: cost 14 inf + 1 181.854 * * [simplify]: Extracting #5: cost 42 inf + 2 181.854 * * [simplify]: Extracting #6: cost 78 inf + 5 181.855 * * [simplify]: Extracting #7: cost 45 inf + 6440 181.857 * * [simplify]: Extracting #8: cost 7 inf + 15327 181.861 * * [simplify]: Extracting #9: cost 0 inf + 14618 181.866 * * [simplify]: Extracting #10: cost 0 inf + 14156 181.872 * [simplify]: Simplified to (* (sqrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v))))) 2) 181.872 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v))) (sqrt 2))) (sqrt (* (sqrt (- 1 (* (* (* v (* v v)) (* v (* v v))) 27))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) (* (sqrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v))))) 2))) 181.872 * * * * [progress]: [ 328 / 458 ] simplifiying candidate # 181.873 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) 181.873 * * [simplify]: iters left: 6 (23 enodes) 181.886 * * [simplify]: iters left: 5 (97 enodes) 181.908 * * [simplify]: iters left: 4 (216 enodes) 181.987 * * [simplify]: iters left: 3 (492 enodes) 182.176 * * [simplify]: Extracting #0: cost 1 inf + 0 182.176 * * [simplify]: Extracting #1: cost 4 inf + 0 182.176 * * [simplify]: Extracting #2: cost 8 inf + 0 182.176 * * [simplify]: Extracting #3: cost 41 inf + 0 182.177 * * [simplify]: Extracting #4: cost 110 inf + 2 182.178 * * [simplify]: Extracting #5: cost 138 inf + 574 182.181 * * [simplify]: Extracting #6: cost 118 inf + 6887 182.185 * * [simplify]: Extracting #7: cost 118 inf + 9013 182.195 * * [simplify]: Extracting #8: cost 64 inf + 18238 182.207 * * [simplify]: Extracting #9: cost 12 inf + 34120 182.219 * * [simplify]: Extracting #10: cost 0 inf + 38216 182.237 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) 182.237 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (+ (* -3 (* v v)) 1)))) (sqrt (* (sqrt (+ (* (* (* v v) (* v v)) -9) 1)) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v)))))))) 182.237 * [simplify]: Simplifying (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) 182.238 * * [simplify]: iters left: 6 (11 enodes) 182.244 * * [simplify]: iters left: 5 (41 enodes) 182.258 * * [simplify]: iters left: 4 (47 enodes) 182.273 * * [simplify]: Extracting #0: cost 1 inf + 0 182.273 * * [simplify]: Extracting #1: cost 4 inf + 0 182.273 * * [simplify]: Extracting #2: cost 5 inf + 1 182.273 * * [simplify]: Extracting #3: cost 7 inf + 1 182.273 * * [simplify]: Extracting #4: cost 10 inf + 1 182.273 * * [simplify]: Extracting #5: cost 14 inf + 2 182.273 * * [simplify]: Extracting #6: cost 12 inf + 87 182.273 * * [simplify]: Extracting #7: cost 6 inf + 620 182.274 * * [simplify]: Extracting #8: cost 3 inf + 1109 182.274 * * [simplify]: Extracting #9: cost 0 inf + 1800 182.275 * [simplify]: Simplified to (* 2 (sqrt (sqrt (+ 1 (* v (* 3 v)))))) 182.275 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (* 2 (sqrt (sqrt (+ 1 (* v (* 3 v)))))))) 182.276 * * * * [progress]: [ 329 / 458 ] simplifiying candidate # 182.276 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 182.276 * * [simplify]: iters left: 6 (14 enodes) 182.288 * * [simplify]: iters left: 5 (53 enodes) 182.298 * * [simplify]: iters left: 4 (98 enodes) 182.321 * * [simplify]: iters left: 3 (167 enodes) 182.380 * * [simplify]: iters left: 2 (313 enodes) 182.485 * * [simplify]: iters left: 1 (436 enodes) 182.645 * * [simplify]: Extracting #0: cost 1 inf + 0 182.645 * * [simplify]: Extracting #1: cost 12 inf + 0 182.645 * * [simplify]: Extracting #2: cost 40 inf + 1 182.646 * * [simplify]: Extracting #3: cost 53 inf + 127 182.647 * * [simplify]: Extracting #4: cost 45 inf + 1512 182.649 * * [simplify]: Extracting #5: cost 31 inf + 3184 182.655 * * [simplify]: Extracting #6: cost 6 inf + 8744 182.663 * * [simplify]: Extracting #7: cost 0 inf + 10648 182.671 * [simplify]: Simplified to (* (sqrt 2) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) 182.671 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt 2) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) (* (sqrt 4) (sqrt 4)))) 182.672 * [simplify]: Simplifying (* (sqrt 4) (sqrt 4)) 182.672 * * [simplify]: iters left: 3 (3 enodes) 182.675 * * [simplify]: iters left: 2 (8 enodes) 182.677 * * [simplify]: Extracting #0: cost 1 inf + 0 182.677 * * [simplify]: Extracting #1: cost 0 inf + 1 182.677 * [simplify]: Simplified to 4 182.677 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt 2) (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v)))) 4)) 182.677 * * * * [progress]: [ 330 / 458 ] simplifiying candidate # 182.677 * * * * [progress]: [ 331 / 458 ] simplifiying candidate # 182.678 * [simplify]: Simplifying (* (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) 182.678 * * [simplify]: iters left: 6 (18 enodes) 182.689 * * [simplify]: iters left: 5 (73 enodes) 182.719 * * [simplify]: iters left: 4 (132 enodes) 182.770 * * [simplify]: iters left: 3 (249 enodes) 182.850 * * [simplify]: Extracting #0: cost 1 inf + 0 182.850 * * [simplify]: Extracting #1: cost 9 inf + 0 182.850 * * [simplify]: Extracting #2: cost 16 inf + 1 182.850 * * [simplify]: Extracting #3: cost 39 inf + 3 182.851 * * [simplify]: Extracting #4: cost 90 inf + 5 182.851 * * [simplify]: Extracting #5: cost 110 inf + 376 182.852 * * [simplify]: Extracting #6: cost 77 inf + 5067 182.856 * * [simplify]: Extracting #7: cost 24 inf + 17579 182.863 * * [simplify]: Extracting #8: cost 5 inf + 24353 182.871 * * [simplify]: Extracting #9: cost 1 inf + 27006 182.881 * * [simplify]: Extracting #10: cost 0 inf + 27742 182.897 * [simplify]: Simplified to (* (cbrt (sqrt (- (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* v v))))) (sqrt (- (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* v v))))) 182.897 * [simplify]: Simplified (2 1) to (λ (v) (* (* (cbrt (sqrt (- (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* v v))))) (sqrt (- (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* (/ (sqrt (- 1 (* (* v v) 3))) (/ 4 (sqrt 2))) (* v v))))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))))) 182.897 * [simplify]: Simplifying (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 182.897 * * [simplify]: iters left: 6 (17 enodes) 182.906 * * [simplify]: iters left: 5 (66 enodes) 182.919 * * [simplify]: iters left: 4 (122 enodes) 182.945 * * [simplify]: iters left: 3 (247 enodes) 183.043 * * [simplify]: Extracting #0: cost 1 inf + 0 183.043 * * [simplify]: Extracting #1: cost 3 inf + 0 183.043 * * [simplify]: Extracting #2: cost 5 inf + 0 183.043 * * [simplify]: Extracting #3: cost 7 inf + 0 183.043 * * [simplify]: Extracting #4: cost 33 inf + 0 183.044 * * [simplify]: Extracting #5: cost 84 inf + 2 183.044 * * [simplify]: Extracting #6: cost 108 inf + 371 183.045 * * [simplify]: Extracting #7: cost 83 inf + 3799 183.047 * * [simplify]: Extracting #8: cost 63 inf + 6696 183.051 * * [simplify]: Extracting #9: cost 16 inf + 20439 183.058 * * [simplify]: Extracting #10: cost 0 inf + 25465 183.071 * [simplify]: Simplified to (* (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))) 183.071 * [simplify]: Simplified (2 2) to (λ (v) (* (* (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) (* (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))))) 183.072 * * * * [progress]: [ 332 / 458 ] simplifiying candidate # 183.072 * [simplify]: Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) 183.072 * * [simplify]: iters left: 6 (14 enodes) 183.081 * * [simplify]: iters left: 5 (50 enodes) 183.099 * * [simplify]: iters left: 4 (77 enodes) 183.123 * * [simplify]: iters left: 3 (97 enodes) 183.154 * * [simplify]: Extracting #0: cost 1 inf + 0 183.154 * * [simplify]: Extracting #1: cost 9 inf + 0 183.154 * * [simplify]: Extracting #2: cost 16 inf + 1 183.155 * * [simplify]: Extracting #3: cost 19 inf + 2 183.155 * * [simplify]: Extracting #4: cost 26 inf + 126 183.155 * * [simplify]: Extracting #5: cost 20 inf + 702 183.156 * * [simplify]: Extracting #6: cost 4 inf + 2623 183.158 * * [simplify]: Extracting #7: cost 0 inf + 3762 183.159 * [simplify]: Simplified to (/ (sqrt 2) (/ 4 (sqrt (+ (* -3 (* v v)) 1)))) 183.159 * [simplify]: Simplified (2 1) to (λ (v) (* (/ (sqrt 2) (/ 4 (sqrt (+ (* -3 (* v v)) 1)))) (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))))) 183.160 * [simplify]: Simplifying (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) 183.160 * * [simplify]: iters left: 6 (6 enodes) 183.163 * * [simplify]: iters left: 5 (20 enodes) 183.170 * * [simplify]: iters left: 4 (29 enodes) 183.175 * * [simplify]: iters left: 3 (31 enodes) 183.180 * * [simplify]: Extracting #0: cost 1 inf + 0 183.180 * * [simplify]: Extracting #1: cost 6 inf + 0 183.180 * * [simplify]: Extracting #2: cost 10 inf + 1 183.180 * * [simplify]: Extracting #3: cost 9 inf + 43 183.181 * * [simplify]: Extracting #4: cost 2 inf + 492 183.181 * * [simplify]: Extracting #5: cost 0 inf + 736 183.181 * [simplify]: Simplified to (- 1 (* v v)) 183.181 * [simplify]: Simplified (2 2) to (λ (v) (* (/ (sqrt 2) (/ 4 (sqrt (+ (* -3 (* v v)) 1)))) (- 1 (* v v)))) 183.181 * * * * [progress]: [ 333 / 458 ] simplifiying candidate # 183.181 * [simplify]: Simplifying (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 183.181 * * [simplify]: iters left: 6 (17 enodes) 183.187 * * [simplify]: iters left: 5 (64 enodes) 183.199 * * [simplify]: iters left: 4 (121 enodes) 183.245 * * [simplify]: iters left: 3 (246 enodes) 183.368 * * [simplify]: Extracting #0: cost 1 inf + 0 183.368 * * [simplify]: Extracting #1: cost 4 inf + 0 183.368 * * [simplify]: Extracting #2: cost 31 inf + 0 183.369 * * [simplify]: Extracting #3: cost 82 inf + 2 183.370 * * [simplify]: Extracting #4: cost 105 inf + 452 183.372 * * [simplify]: Extracting #5: cost 73 inf + 5743 183.374 * * [simplify]: Extracting #6: cost 60 inf + 6939 183.382 * * [simplify]: Extracting #7: cost 24 inf + 16599 183.389 * * [simplify]: Extracting #8: cost 1 inf + 23770 183.398 * * [simplify]: Extracting #9: cost 0 inf + 24255 183.405 * [simplify]: Simplified to (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 183.405 * [simplify]: Simplified (2 1) to (λ (v) (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))))) 183.406 * [simplify]: Simplifying (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 183.406 * * [simplify]: iters left: 6 (17 enodes) 183.412 * * [simplify]: iters left: 5 (64 enodes) 183.435 * * [simplify]: iters left: 4 (121 enodes) 183.482 * * [simplify]: iters left: 3 (246 enodes) 183.568 * * [simplify]: Extracting #0: cost 1 inf + 0 183.568 * * [simplify]: Extracting #1: cost 4 inf + 0 183.568 * * [simplify]: Extracting #2: cost 31 inf + 0 183.568 * * [simplify]: Extracting #3: cost 82 inf + 2 183.569 * * [simplify]: Extracting #4: cost 105 inf + 452 183.570 * * [simplify]: Extracting #5: cost 73 inf + 5743 183.571 * * [simplify]: Extracting #6: cost 60 inf + 6939 183.575 * * [simplify]: Extracting #7: cost 24 inf + 16599 183.582 * * [simplify]: Extracting #8: cost 1 inf + 23770 183.594 * * [simplify]: Extracting #9: cost 0 inf + 24255 183.611 * [simplify]: Simplified to (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 183.611 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) 183.611 * * * * [progress]: [ 334 / 458 ] simplifiying candidate # 183.612 * [simplify]: Simplifying (* 1 1) 183.612 * * [simplify]: iters left: 2 (2 enodes) 183.613 * * [simplify]: iters left: 1 (6 enodes) 183.616 * * [simplify]: Extracting #0: cost 1 inf + 0 183.616 * * [simplify]: Extracting #1: cost 0 inf + 1 183.616 * [simplify]: Simplified to 1 183.616 * [simplify]: Simplified (2 1) to (λ (v) (* 1 (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) 183.616 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 183.616 * * [simplify]: iters left: 6 (16 enodes) 183.626 * * [simplify]: iters left: 5 (61 enodes) 183.648 * * [simplify]: iters left: 4 (118 enodes) 183.693 * * [simplify]: iters left: 3 (235 enodes) 183.788 * * [simplify]: iters left: 2 (494 enodes) 184.037 * * [simplify]: Extracting #0: cost 1 inf + 0 184.037 * * [simplify]: Extracting #1: cost 35 inf + 0 184.038 * * [simplify]: Extracting #2: cost 87 inf + 2 184.039 * * [simplify]: Extracting #3: cost 117 inf + 210 184.042 * * [simplify]: Extracting #4: cost 97 inf + 3436 184.045 * * [simplify]: Extracting #5: cost 74 inf + 6740 184.057 * * [simplify]: Extracting #6: cost 24 inf + 19614 184.075 * * [simplify]: Extracting #7: cost 2 inf + 25944 184.093 * * [simplify]: Extracting #8: cost 0 inf + 26633 184.110 * [simplify]: Simplified to (* (sqrt (- 1 (* (* v v) 3))) (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))) 184.110 * [simplify]: Simplified (2 2) to (λ (v) (* 1 (* (sqrt (- 1 (* (* v v) 3))) (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))))) 184.110 * * * * [progress]: [ 335 / 458 ] simplifiying candidate # 184.110 * [simplify]: Simplifying (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 184.110 * * [simplify]: iters left: 6 (17 enodes) 184.116 * * [simplify]: iters left: 5 (64 enodes) 184.128 * * [simplify]: iters left: 4 (121 enodes) 184.156 * * [simplify]: iters left: 3 (246 enodes) 184.219 * * [simplify]: Extracting #0: cost 1 inf + 0 184.219 * * [simplify]: Extracting #1: cost 4 inf + 0 184.219 * * [simplify]: Extracting #2: cost 31 inf + 0 184.219 * * [simplify]: Extracting #3: cost 82 inf + 2 184.220 * * [simplify]: Extracting #4: cost 105 inf + 452 184.221 * * [simplify]: Extracting #5: cost 73 inf + 5743 184.222 * * [simplify]: Extracting #6: cost 60 inf + 6939 184.226 * * [simplify]: Extracting #7: cost 24 inf + 16599 184.233 * * [simplify]: Extracting #8: cost 1 inf + 23770 184.240 * * [simplify]: Extracting #9: cost 0 inf + 24255 184.247 * [simplify]: Simplified to (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 184.247 * [simplify]: Simplified (2 1) to (λ (v) (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))))) 184.248 * [simplify]: Simplifying (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 184.248 * * [simplify]: iters left: 6 (17 enodes) 184.253 * * [simplify]: iters left: 5 (64 enodes) 184.275 * * [simplify]: iters left: 4 (121 enodes) 184.325 * * [simplify]: iters left: 3 (246 enodes) 184.400 * * [simplify]: Extracting #0: cost 1 inf + 0 184.400 * * [simplify]: Extracting #1: cost 4 inf + 0 184.400 * * [simplify]: Extracting #2: cost 31 inf + 0 184.401 * * [simplify]: Extracting #3: cost 82 inf + 2 184.401 * * [simplify]: Extracting #4: cost 105 inf + 452 184.402 * * [simplify]: Extracting #5: cost 73 inf + 5743 184.404 * * [simplify]: Extracting #6: cost 60 inf + 6939 184.407 * * [simplify]: Extracting #7: cost 24 inf + 16599 184.414 * * [simplify]: Extracting #8: cost 1 inf + 23770 184.421 * * [simplify]: Extracting #9: cost 0 inf + 24255 184.430 * [simplify]: Simplified to (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 184.430 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) 184.430 * * * * [progress]: [ 336 / 458 ] simplifiying candidate # 184.431 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 184.431 * * [simplify]: iters left: 6 (14 enodes) 184.440 * * [simplify]: iters left: 5 (57 enodes) 184.461 * * [simplify]: iters left: 4 (113 enodes) 184.498 * * [simplify]: iters left: 3 (238 enodes) 184.607 * * [simplify]: Extracting #0: cost 1 inf + 0 184.607 * * [simplify]: Extracting #1: cost 31 inf + 0 184.607 * * [simplify]: Extracting #2: cost 82 inf + 2 184.608 * * [simplify]: Extracting #3: cost 107 inf + 209 184.610 * * [simplify]: Extracting #4: cost 82 inf + 3474 184.612 * * [simplify]: Extracting #5: cost 63 inf + 6248 184.620 * * [simplify]: Extracting #6: cost 14 inf + 18680 184.633 * * [simplify]: Extracting #7: cost 0 inf + 22575 184.646 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 184.646 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 1/2))) 184.646 * [simplify]: Simplifying (* 2 1/2) 184.646 * * [simplify]: iters left: 2 (3 enodes) 184.650 * * [simplify]: iters left: 1 (11 enodes) 184.654 * * [simplify]: Extracting #0: cost 1 inf + 0 184.654 * * [simplify]: Extracting #1: cost 0 inf + 1 184.654 * [simplify]: Simplified to 1 184.654 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 184.654 * * * * [progress]: [ 337 / 458 ] simplifiying candidate # 184.654 * [simplify]: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 184.654 * * [simplify]: iters left: 6 (15 enodes) 184.663 * * [simplify]: iters left: 5 (60 enodes) 184.683 * * [simplify]: iters left: 4 (116 enodes) 184.714 * * [simplify]: iters left: 3 (233 enodes) 184.778 * * [simplify]: Extracting #0: cost 1 inf + 0 184.778 * * [simplify]: Extracting #1: cost 3 inf + 0 184.778 * * [simplify]: Extracting #2: cost 32 inf + 0 184.779 * * [simplify]: Extracting #3: cost 83 inf + 2 184.779 * * [simplify]: Extracting #4: cost 107 inf + 86 184.780 * * [simplify]: Extracting #5: cost 80 inf + 3880 184.781 * * [simplify]: Extracting #6: cost 57 inf + 7022 184.788 * * [simplify]: Extracting #7: cost 11 inf + 19448 184.803 * * [simplify]: Extracting #8: cost 0 inf + 22250 184.816 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 184.816 * [simplify]: Simplified (2 1) to (λ (v) (pow (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (* 2 1))) 184.816 * [simplify]: Simplifying (* 2 1) 184.817 * * [simplify]: iters left: 2 (3 enodes) 184.819 * * [simplify]: iters left: 1 (9 enodes) 184.822 * * [simplify]: Extracting #0: cost 1 inf + 0 184.822 * * [simplify]: Extracting #1: cost 0 inf + 1 184.822 * [simplify]: Simplified to 2 184.823 * [simplify]: Simplified (2 2) to (λ (v) (pow (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 2)) 184.823 * * * * [progress]: [ 338 / 458 ] simplifiying candidate # 184.823 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 184.823 * * [simplify]: iters left: 6 (14 enodes) 184.832 * * [simplify]: iters left: 5 (57 enodes) 184.847 * * [simplify]: iters left: 4 (113 enodes) 184.871 * * [simplify]: iters left: 3 (238 enodes) 184.952 * * [simplify]: Extracting #0: cost 1 inf + 0 184.952 * * [simplify]: Extracting #1: cost 31 inf + 0 184.952 * * [simplify]: Extracting #2: cost 82 inf + 2 184.952 * * [simplify]: Extracting #3: cost 107 inf + 209 184.953 * * [simplify]: Extracting #4: cost 82 inf + 3474 184.955 * * [simplify]: Extracting #5: cost 63 inf + 6248 184.959 * * [simplify]: Extracting #6: cost 14 inf + 18680 184.972 * * [simplify]: Extracting #7: cost 0 inf + 22575 184.984 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 184.984 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 184.985 * [simplify]: Simplifying (* 2 (/ 1 2)) 184.985 * * [simplify]: iters left: 4 (4 enodes) 184.989 * * [simplify]: iters left: 3 (13 enodes) 184.994 * * [simplify]: iters left: 2 (15 enodes) 184.999 * * [simplify]: Extracting #0: cost 1 inf + 0 184.999 * * [simplify]: Extracting #1: cost 0 inf + 1 184.999 * [simplify]: Simplified to 1 184.999 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 184.999 * * * * [progress]: [ 339 / 458 ] simplifiying candidate # 185.000 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.000 * * [simplify]: iters left: 6 (14 enodes) 185.012 * * [simplify]: iters left: 5 (57 enodes) 185.033 * * [simplify]: iters left: 4 (113 enodes) 185.077 * * [simplify]: iters left: 3 (238 enodes) 185.179 * * [simplify]: Extracting #0: cost 1 inf + 0 185.179 * * [simplify]: Extracting #1: cost 31 inf + 0 185.180 * * [simplify]: Extracting #2: cost 82 inf + 2 185.180 * * [simplify]: Extracting #3: cost 107 inf + 209 185.181 * * [simplify]: Extracting #4: cost 82 inf + 3474 185.182 * * [simplify]: Extracting #5: cost 63 inf + 6248 185.186 * * [simplify]: Extracting #6: cost 14 inf + 18680 185.193 * * [simplify]: Extracting #7: cost 0 inf + 22575 185.199 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 185.199 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 185.200 * [simplify]: Simplifying (* 2 (/ 1 2)) 185.200 * * [simplify]: iters left: 4 (4 enodes) 185.204 * * [simplify]: iters left: 3 (13 enodes) 185.208 * * [simplify]: iters left: 2 (15 enodes) 185.213 * * [simplify]: Extracting #0: cost 1 inf + 0 185.213 * * [simplify]: Extracting #1: cost 0 inf + 1 185.213 * [simplify]: Simplified to 1 185.213 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 185.213 * * * * [progress]: [ 340 / 458 ] simplifiying candidate # 185.214 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.214 * * [simplify]: iters left: 6 (14 enodes) 185.222 * * [simplify]: iters left: 5 (57 enodes) 185.248 * * [simplify]: iters left: 4 (113 enodes) 185.284 * * [simplify]: iters left: 3 (238 enodes) 185.389 * * [simplify]: Extracting #0: cost 1 inf + 0 185.389 * * [simplify]: Extracting #1: cost 31 inf + 0 185.390 * * [simplify]: Extracting #2: cost 82 inf + 2 185.391 * * [simplify]: Extracting #3: cost 107 inf + 209 185.392 * * [simplify]: Extracting #4: cost 82 inf + 3474 185.395 * * [simplify]: Extracting #5: cost 63 inf + 6248 185.401 * * [simplify]: Extracting #6: cost 14 inf + 18680 185.407 * * [simplify]: Extracting #7: cost 0 inf + 22575 185.414 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 185.414 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 185.414 * [simplify]: Simplifying (* 2 (/ 1 2)) 185.414 * * [simplify]: iters left: 4 (4 enodes) 185.417 * * [simplify]: iters left: 3 (13 enodes) 185.419 * * [simplify]: iters left: 2 (15 enodes) 185.422 * * [simplify]: Extracting #0: cost 1 inf + 0 185.422 * * [simplify]: Extracting #1: cost 0 inf + 1 185.422 * [simplify]: Simplified to 1 185.422 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 185.422 * * * * [progress]: [ 341 / 458 ] simplifiying candidate # 185.423 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.423 * * [simplify]: iters left: 6 (14 enodes) 185.428 * * [simplify]: iters left: 5 (57 enodes) 185.449 * * [simplify]: iters left: 4 (113 enodes) 185.493 * * [simplify]: iters left: 3 (238 enodes) 185.592 * * [simplify]: Extracting #0: cost 1 inf + 0 185.592 * * [simplify]: Extracting #1: cost 31 inf + 0 185.593 * * [simplify]: Extracting #2: cost 82 inf + 2 185.593 * * [simplify]: Extracting #3: cost 107 inf + 209 185.594 * * [simplify]: Extracting #4: cost 82 inf + 3474 185.595 * * [simplify]: Extracting #5: cost 63 inf + 6248 185.599 * * [simplify]: Extracting #6: cost 14 inf + 18680 185.605 * * [simplify]: Extracting #7: cost 0 inf + 22575 185.612 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 185.612 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 185.612 * [simplify]: Simplifying (* 2 (/ 1 2)) 185.612 * * [simplify]: iters left: 4 (4 enodes) 185.615 * * [simplify]: iters left: 3 (13 enodes) 185.617 * * [simplify]: iters left: 2 (15 enodes) 185.620 * * [simplify]: Extracting #0: cost 1 inf + 0 185.620 * * [simplify]: Extracting #1: cost 0 inf + 1 185.620 * [simplify]: Simplified to 1 185.620 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 185.620 * * * * [progress]: [ 342 / 458 ] simplifiying candidate # 185.620 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.620 * * [simplify]: iters left: 6 (14 enodes) 185.625 * * [simplify]: iters left: 5 (57 enodes) 185.636 * * [simplify]: iters left: 4 (113 enodes) 185.670 * * [simplify]: iters left: 3 (238 enodes) 185.744 * * [simplify]: Extracting #0: cost 1 inf + 0 185.744 * * [simplify]: Extracting #1: cost 31 inf + 0 185.744 * * [simplify]: Extracting #2: cost 82 inf + 2 185.745 * * [simplify]: Extracting #3: cost 107 inf + 209 185.745 * * [simplify]: Extracting #4: cost 82 inf + 3474 185.747 * * [simplify]: Extracting #5: cost 63 inf + 6248 185.751 * * [simplify]: Extracting #6: cost 14 inf + 18680 185.757 * * [simplify]: Extracting #7: cost 0 inf + 22575 185.764 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 185.764 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 185.764 * [simplify]: Simplifying (* 2 (/ 1 2)) 185.764 * * [simplify]: iters left: 4 (4 enodes) 185.766 * * [simplify]: iters left: 3 (13 enodes) 185.769 * * [simplify]: iters left: 2 (15 enodes) 185.771 * * [simplify]: Extracting #0: cost 1 inf + 0 185.771 * * [simplify]: Extracting #1: cost 0 inf + 1 185.771 * [simplify]: Simplified to 1 185.771 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 185.772 * * * * [progress]: [ 343 / 458 ] simplifiying candidate # 185.772 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.772 * * [simplify]: iters left: 6 (14 enodes) 185.777 * * [simplify]: iters left: 5 (57 enodes) 185.796 * * [simplify]: iters left: 4 (113 enodes) 185.832 * * [simplify]: iters left: 3 (238 enodes) 185.905 * * [simplify]: Extracting #0: cost 1 inf + 0 185.905 * * [simplify]: Extracting #1: cost 31 inf + 0 185.905 * * [simplify]: Extracting #2: cost 82 inf + 2 185.905 * * [simplify]: Extracting #3: cost 107 inf + 209 185.906 * * [simplify]: Extracting #4: cost 82 inf + 3474 185.908 * * [simplify]: Extracting #5: cost 63 inf + 6248 185.912 * * [simplify]: Extracting #6: cost 14 inf + 18680 185.920 * * [simplify]: Extracting #7: cost 0 inf + 22575 185.932 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 185.932 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 185.932 * [simplify]: Simplifying (* 2 (/ 1 2)) 185.932 * * [simplify]: iters left: 4 (4 enodes) 185.937 * * [simplify]: iters left: 3 (13 enodes) 185.941 * * [simplify]: iters left: 2 (15 enodes) 185.946 * * [simplify]: Extracting #0: cost 1 inf + 0 185.946 * * [simplify]: Extracting #1: cost 0 inf + 1 185.946 * [simplify]: Simplified to 1 185.946 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 185.946 * * * * [progress]: [ 344 / 458 ] simplifiying candidate # 185.947 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 185.947 * * [simplify]: iters left: 6 (14 enodes) 185.955 * * [simplify]: iters left: 5 (57 enodes) 185.976 * * [simplify]: iters left: 4 (113 enodes) 185.999 * * [simplify]: iters left: 3 (238 enodes) 186.093 * * [simplify]: Extracting #0: cost 1 inf + 0 186.093 * * [simplify]: Extracting #1: cost 31 inf + 0 186.093 * * [simplify]: Extracting #2: cost 82 inf + 2 186.094 * * [simplify]: Extracting #3: cost 107 inf + 209 186.096 * * [simplify]: Extracting #4: cost 82 inf + 3474 186.098 * * [simplify]: Extracting #5: cost 63 inf + 6248 186.107 * * [simplify]: Extracting #6: cost 14 inf + 18680 186.120 * * [simplify]: Extracting #7: cost 0 inf + 22575 186.132 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 186.132 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 186.132 * [simplify]: Simplifying (* 2 (/ 1 2)) 186.132 * * [simplify]: iters left: 4 (4 enodes) 186.135 * * [simplify]: iters left: 3 (13 enodes) 186.137 * * [simplify]: iters left: 2 (15 enodes) 186.140 * * [simplify]: Extracting #0: cost 1 inf + 0 186.140 * * [simplify]: Extracting #1: cost 0 inf + 1 186.140 * [simplify]: Simplified to 1 186.140 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 186.140 * * * * [progress]: [ 345 / 458 ] simplifiying candidate # 186.140 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 186.140 * * [simplify]: iters left: 6 (14 enodes) 186.145 * * [simplify]: iters left: 5 (57 enodes) 186.157 * * [simplify]: iters left: 4 (113 enodes) 186.196 * * [simplify]: iters left: 3 (238 enodes) 186.285 * * [simplify]: Extracting #0: cost 1 inf + 0 186.285 * * [simplify]: Extracting #1: cost 31 inf + 0 186.286 * * [simplify]: Extracting #2: cost 82 inf + 2 186.286 * * [simplify]: Extracting #3: cost 107 inf + 209 186.287 * * [simplify]: Extracting #4: cost 82 inf + 3474 186.288 * * [simplify]: Extracting #5: cost 63 inf + 6248 186.292 * * [simplify]: Extracting #6: cost 14 inf + 18680 186.299 * * [simplify]: Extracting #7: cost 0 inf + 22575 186.305 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 186.305 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 186.306 * [simplify]: Simplifying (* 2 (/ 1 2)) 186.306 * * [simplify]: iters left: 4 (4 enodes) 186.308 * * [simplify]: iters left: 3 (13 enodes) 186.311 * * [simplify]: iters left: 2 (15 enodes) 186.316 * * [simplify]: Extracting #0: cost 1 inf + 0 186.316 * * [simplify]: Extracting #1: cost 0 inf + 1 186.316 * [simplify]: Simplified to 1 186.316 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 186.316 * * * * [progress]: [ 346 / 458 ] simplifiying candidate # 186.316 * [simplify]: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 186.316 * * [simplify]: iters left: 6 (14 enodes) 186.328 * * [simplify]: iters left: 5 (57 enodes) 186.349 * * [simplify]: iters left: 4 (113 enodes) 186.382 * * [simplify]: iters left: 3 (238 enodes) 186.458 * * [simplify]: Extracting #0: cost 1 inf + 0 186.458 * * [simplify]: Extracting #1: cost 31 inf + 0 186.458 * * [simplify]: Extracting #2: cost 82 inf + 2 186.458 * * [simplify]: Extracting #3: cost 107 inf + 209 186.459 * * [simplify]: Extracting #4: cost 82 inf + 3474 186.460 * * [simplify]: Extracting #5: cost 63 inf + 6248 186.464 * * [simplify]: Extracting #6: cost 14 inf + 18680 186.471 * * [simplify]: Extracting #7: cost 0 inf + 22575 186.477 * [simplify]: Simplified to (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) 186.477 * [simplify]: Simplified (2 1) to (λ (v) (pow (- (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* (* (sqrt (+ (* -3 (* v v)) 1)) (/ (sqrt 2) 4)) (* v v))) (* 2 (/ 1 2)))) 186.478 * [simplify]: Simplifying (* 2 (/ 1 2)) 186.478 * * [simplify]: iters left: 4 (4 enodes) 186.480 * * [simplify]: iters left: 3 (13 enodes) 186.483 * * [simplify]: iters left: 2 (15 enodes) 186.485 * * [simplify]: Extracting #0: cost 1 inf + 0 186.485 * * [simplify]: Extracting #1: cost 0 inf + 1 186.485 * [simplify]: Simplified to 1 186.486 * [simplify]: Simplified (2 2) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1)) 186.486 * * * * [progress]: [ 347 / 458 ] simplifiying candidate # 186.486 * [simplify]: Simplifying (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 186.486 * * [simplify]: iters left: 6 (16 enodes) 186.491 * * [simplify]: iters left: 5 (63 enodes) 186.507 * * [simplify]: iters left: 4 (119 enodes) 186.554 * * [simplify]: iters left: 3 (244 enodes) 186.649 * * [simplify]: Extracting #0: cost 1 inf + 0 186.649 * * [simplify]: Extracting #1: cost 3 inf + 0 186.649 * * [simplify]: Extracting #2: cost 5 inf + 0 186.650 * * [simplify]: Extracting #3: cost 31 inf + 0 186.650 * * [simplify]: Extracting #4: cost 82 inf + 2 186.650 * * [simplify]: Extracting #5: cost 107 inf + 208 186.651 * * [simplify]: Extracting #6: cost 79 inf + 3880 186.654 * * [simplify]: Extracting #7: cost 62 inf + 6614 186.661 * * [simplify]: Extracting #8: cost 22 inf + 16725 186.674 * * [simplify]: Extracting #9: cost 0 inf + 23295 186.684 * * [simplify]: Extracting #10: cost 0 inf + 23255 186.691 * [simplify]: Simplified to (cbrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))) 186.691 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) (cbrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))))) 186.691 * * * * [progress]: [ 348 / 458 ] simplifiying candidate # 186.691 * [simplify]: Simplifying (sqrt (- 1 (* v v))) 186.691 * * [simplify]: iters left: 5 (5 enodes) 186.693 * * [simplify]: iters left: 4 (19 enodes) 186.696 * * [simplify]: iters left: 3 (27 enodes) 186.701 * * [simplify]: iters left: 2 (29 enodes) 186.705 * * [simplify]: Extracting #0: cost 1 inf + 0 186.705 * * [simplify]: Extracting #1: cost 3 inf + 0 186.705 * * [simplify]: Extracting #2: cost 7 inf + 0 186.705 * * [simplify]: Extracting #3: cost 10 inf + 1 186.705 * * [simplify]: Extracting #4: cost 1 inf + 695 186.705 * * [simplify]: Extracting #5: cost 0 inf + 736 186.706 * [simplify]: Simplified to (sqrt (- 1 (* v v))) 186.706 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (- 1 (* v v))))) 186.706 * * * * [progress]: [ 349 / 458 ] simplifiying candidate # 186.706 * [simplify]: Simplifying (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 186.706 * * [simplify]: iters left: 6 (16 enodes) 186.712 * * [simplify]: iters left: 5 (63 enodes) 186.738 * * [simplify]: iters left: 4 (119 enodes) 186.784 * * [simplify]: iters left: 3 (244 enodes) 186.879 * * [simplify]: Extracting #0: cost 1 inf + 0 186.879 * * [simplify]: Extracting #1: cost 3 inf + 0 186.879 * * [simplify]: Extracting #2: cost 5 inf + 0 186.879 * * [simplify]: Extracting #3: cost 31 inf + 0 186.879 * * [simplify]: Extracting #4: cost 82 inf + 2 186.880 * * [simplify]: Extracting #5: cost 107 inf + 208 186.881 * * [simplify]: Extracting #6: cost 79 inf + 3880 186.882 * * [simplify]: Extracting #7: cost 62 inf + 6614 186.886 * * [simplify]: Extracting #8: cost 22 inf + 16685 186.893 * * [simplify]: Extracting #9: cost 0 inf + 23215 186.900 * * [simplify]: Extracting #10: cost 0 inf + 23175 186.907 * [simplify]: Simplified to (sqrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))) 186.907 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (sqrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))))) 186.907 * * * * [progress]: [ 350 / 458 ] simplifiying candidate # 186.907 * [simplify]: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 186.907 * * [simplify]: iters left: 6 (15 enodes) 186.912 * * [simplify]: iters left: 5 (60 enodes) 186.924 * * [simplify]: iters left: 4 (116 enodes) 186.953 * * [simplify]: iters left: 3 (233 enodes) 187.026 * * [simplify]: Extracting #0: cost 1 inf + 0 187.026 * * [simplify]: Extracting #1: cost 3 inf + 0 187.026 * * [simplify]: Extracting #2: cost 32 inf + 0 187.027 * * [simplify]: Extracting #3: cost 83 inf + 2 187.027 * * [simplify]: Extracting #4: cost 107 inf + 86 187.028 * * [simplify]: Extracting #5: cost 80 inf + 3880 187.029 * * [simplify]: Extracting #6: cost 57 inf + 7022 187.034 * * [simplify]: Extracting #7: cost 11 inf + 19448 187.040 * * [simplify]: Extracting #8: cost 0 inf + 22250 187.047 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 187.047 * [simplify]: Simplified (2 2) to (λ (v) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) (sqrt (* (sqrt (+ 1 (* -3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) 187.047 * * * * [progress]: [ 351 / 458 ] simplifiying candidate # 187.047 * [simplify]: Simplifying (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 187.047 * * [simplify]: iters left: 6 (17 enodes) 187.052 * * [simplify]: iters left: 5 (66 enodes) 187.065 * * [simplify]: iters left: 4 (122 enodes) 187.095 * * [simplify]: iters left: 3 (247 enodes) 187.176 * * [simplify]: Extracting #0: cost 1 inf + 0 187.176 * * [simplify]: Extracting #1: cost 3 inf + 0 187.176 * * [simplify]: Extracting #2: cost 5 inf + 0 187.176 * * [simplify]: Extracting #3: cost 7 inf + 0 187.176 * * [simplify]: Extracting #4: cost 33 inf + 0 187.177 * * [simplify]: Extracting #5: cost 84 inf + 2 187.177 * * [simplify]: Extracting #6: cost 108 inf + 371 187.179 * * [simplify]: Extracting #7: cost 83 inf + 3799 187.181 * * [simplify]: Extracting #8: cost 63 inf + 6696 187.191 * * [simplify]: Extracting #9: cost 16 inf + 20439 187.203 * * [simplify]: Extracting #10: cost 0 inf + 25465 187.215 * [simplify]: Simplified to (* (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))) 187.215 * [simplify]: Simplified (2 1) to (λ (v) (* (* (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v))))))) (cbrt (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (sqrt 2) (/ 4 (- 1 (* v v)))))))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) 187.216 * * * * [progress]: [ 352 / 458 ] simplifiying candidate # 187.216 * [simplify]: Simplifying (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 187.216 * * [simplify]: iters left: 6 (13 enodes) 187.220 * * [simplify]: iters left: 5 (49 enodes) 187.235 * * [simplify]: iters left: 4 (75 enodes) 187.256 * * [simplify]: iters left: 3 (95 enodes) 187.281 * * [simplify]: Extracting #0: cost 1 inf + 0 187.281 * * [simplify]: Extracting #1: cost 3 inf + 0 187.281 * * [simplify]: Extracting #2: cost 10 inf + 0 187.281 * * [simplify]: Extracting #3: cost 16 inf + 1 187.281 * * [simplify]: Extracting #4: cost 19 inf + 2 187.282 * * [simplify]: Extracting #5: cost 24 inf + 249 187.282 * * [simplify]: Extracting #6: cost 23 inf + 416 187.282 * * [simplify]: Extracting #7: cost 12 inf + 1155 187.284 * * [simplify]: Extracting #8: cost 2 inf + 3233 187.285 * * [simplify]: Extracting #9: cost 0 inf + 3762 187.286 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* (* -3 v) v) 1)) (/ (sqrt 2) 4))) 187.286 * [simplify]: Simplified (2 1) to (λ (v) (* (sqrt (* (sqrt (+ (* (* -3 v) v) 1)) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* v v))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) 187.286 * * * * [progress]: [ 353 / 458 ] simplifiying candidate # 187.287 * [simplify]: Simplifying (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 187.287 * * [simplify]: iters left: 6 (16 enodes) 187.296 * * [simplify]: iters left: 5 (63 enodes) 187.319 * * [simplify]: iters left: 4 (119 enodes) 187.347 * * [simplify]: iters left: 3 (244 enodes) 187.442 * * [simplify]: Extracting #0: cost 1 inf + 0 187.442 * * [simplify]: Extracting #1: cost 3 inf + 0 187.442 * * [simplify]: Extracting #2: cost 5 inf + 0 187.442 * * [simplify]: Extracting #3: cost 31 inf + 0 187.442 * * [simplify]: Extracting #4: cost 82 inf + 2 187.443 * * [simplify]: Extracting #5: cost 107 inf + 208 187.444 * * [simplify]: Extracting #6: cost 79 inf + 3880 187.446 * * [simplify]: Extracting #7: cost 62 inf + 6614 187.449 * * [simplify]: Extracting #8: cost 22 inf + 16685 187.456 * * [simplify]: Extracting #9: cost 0 inf + 23215 187.463 * * [simplify]: Extracting #10: cost 0 inf + 23175 187.470 * [simplify]: Simplified to (sqrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))) 187.470 * [simplify]: Simplified (2 1) to (λ (v) (* (sqrt (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (* (sqrt 2) (- 1 (* v v))) 4)))) (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) 187.470 * * * * [progress]: [ 354 / 458 ] simplifiying candidate # 187.470 * * * * [progress]: [ 355 / 458 ] simplifiying candidate # 187.470 * [simplify]: Simplifying (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 187.470 * * [simplify]: iters left: 6 (19 enodes) 187.478 * * [simplify]: iters left: 5 (91 enodes) 187.508 * * [simplify]: iters left: 4 (245 enodes) 187.604 * * [simplify]: Extracting #0: cost 1 inf + 0 187.604 * * [simplify]: Extracting #1: cost 3 inf + 0 187.604 * * [simplify]: Extracting #2: cost 22 inf + 0 187.604 * * [simplify]: Extracting #3: cost 60 inf + 2 187.604 * * [simplify]: Extracting #4: cost 81 inf + 126 187.605 * * [simplify]: Extracting #5: cost 78 inf + 2366 187.607 * * [simplify]: Extracting #6: cost 65 inf + 5699 187.612 * * [simplify]: Extracting #7: cost 11 inf + 20303 187.620 * * [simplify]: Extracting #8: cost 0 inf + 23821 187.628 * [simplify]: Simplified to (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))) 187.628 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (* (* (sqrt (+ (* (+ 1 (* (* v v) 3)) (* (* v v) 3)) 1)) 4) (+ (+ (* (* v v) (* v v)) (* v v)) 1))))) 187.628 * * * * [progress]: [ 356 / 458 ] simplifiying candidate # 187.628 * [simplify]: Simplifying (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) 187.628 * * [simplify]: iters left: 6 (16 enodes) 187.634 * * [simplify]: iters left: 5 (78 enodes) 187.652 * * [simplify]: iters left: 4 (200 enodes) 187.746 * * [simplify]: iters left: 3 (341 enodes) 187.898 * * [simplify]: iters left: 2 (460 enodes) 188.067 * * [simplify]: Extracting #0: cost 1 inf + 0 188.067 * * [simplify]: Extracting #1: cost 3 inf + 0 188.067 * * [simplify]: Extracting #2: cost 12 inf + 0 188.067 * * [simplify]: Extracting #3: cost 24 inf + 2 188.067 * * [simplify]: Extracting #4: cost 33 inf + 126 188.068 * * [simplify]: Extracting #5: cost 46 inf + 741 188.069 * * [simplify]: Extracting #6: cost 55 inf + 1841 188.075 * * [simplify]: Extracting #7: cost 16 inf + 10664 188.084 * * [simplify]: Extracting #8: cost 3 inf + 12771 188.092 * * [simplify]: Extracting #9: cost 0 inf + 13208 188.100 * [simplify]: Simplified to (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))) 188.101 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) 1)))))) 188.101 * * * * [progress]: [ 357 / 458 ] simplifiying candidate # 188.101 * [simplify]: Simplifying (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 188.102 * * [simplify]: iters left: 6 (16 enodes) 188.111 * * [simplify]: iters left: 5 (66 enodes) 188.139 * * [simplify]: iters left: 4 (154 enodes) 188.200 * * [simplify]: iters left: 3 (414 enodes) 188.420 * * [simplify]: Extracting #0: cost 1 inf + 0 188.420 * * [simplify]: Extracting #1: cost 3 inf + 0 188.420 * * [simplify]: Extracting #2: cost 24 inf + 0 188.421 * * [simplify]: Extracting #3: cost 77 inf + 2 188.422 * * [simplify]: Extracting #4: cost 107 inf + 3557 188.430 * * [simplify]: Extracting #5: cost 53 inf + 10959 188.442 * * [simplify]: Extracting #6: cost 7 inf + 23035 188.450 * * [simplify]: Extracting #7: cost 0 inf + 24867 188.458 * [simplify]: Simplified to (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))) 188.458 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ (+ (* v v) 1) (* (* v v) (* v v))))))) 188.458 * * * * [progress]: [ 358 / 458 ] simplifiying candidate # 188.458 * [simplify]: Simplifying (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) 188.458 * * [simplify]: iters left: 6 (12 enodes) 188.462 * * [simplify]: iters left: 5 (53 enodes) 188.477 * * [simplify]: iters left: 4 (97 enodes) 188.510 * * [simplify]: iters left: 3 (160 enodes) 188.549 * * [simplify]: iters left: 2 (203 enodes) 188.593 * * [simplify]: iters left: 1 (205 enodes) 188.618 * * [simplify]: Extracting #0: cost 1 inf + 0 188.618 * * [simplify]: Extracting #1: cost 3 inf + 0 188.618 * * [simplify]: Extracting #2: cost 12 inf + 0 188.620 * * [simplify]: Extracting #3: cost 24 inf + 2 188.620 * * [simplify]: Extracting #4: cost 29 inf + 126 188.621 * * [simplify]: Extracting #5: cost 25 inf + 619 188.622 * * [simplify]: Extracting #6: cost 22 inf + 866 188.623 * * [simplify]: Extracting #7: cost 14 inf + 2129 188.626 * * [simplify]: Extracting #8: cost 1 inf + 5496 188.629 * * [simplify]: Extracting #9: cost 0 inf + 5860 188.632 * [simplify]: Simplified to (sqrt (* (+ (* v (* v 4)) 4) (sqrt (+ 1 (* (* 3 v) v))))) 188.632 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (* (+ (* v (* v 4)) 4) (sqrt (+ 1 (* (* 3 v) v))))))) 188.633 * * * * [progress]: [ 359 / 458 ] simplifiying candidate # 188.633 * [simplify]: Simplifying (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 188.633 * * [simplify]: iters left: 6 (17 enodes) 188.645 * * [simplify]: iters left: 5 (81 enodes) 188.680 * * [simplify]: iters left: 4 (203 enodes) 188.735 * * [simplify]: iters left: 3 (398 enodes) 188.869 * * [simplify]: Extracting #0: cost 1 inf + 0 188.869 * * [simplify]: Extracting #1: cost 3 inf + 0 188.869 * * [simplify]: Extracting #2: cost 13 inf + 0 188.869 * * [simplify]: Extracting #3: cost 35 inf + 1 188.870 * * [simplify]: Extracting #4: cost 54 inf + 2 188.870 * * [simplify]: Extracting #5: cost 62 inf + 979 188.871 * * [simplify]: Extracting #6: cost 42 inf + 4675 188.877 * * [simplify]: Extracting #7: cost 11 inf + 11487 188.882 * * [simplify]: Extracting #8: cost 0 inf + 15320 188.887 * [simplify]: Simplified to (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))) 188.888 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (+ (* (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))) (+ (* v v) (* (* v v) (* v v)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (* 3 (* v v)) (* 3 (* v v)))))))))) 188.888 * * * * [progress]: [ 360 / 458 ] simplifiying candidate # 188.888 * [simplify]: Simplifying (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) 188.889 * * [simplify]: iters left: 6 (14 enodes) 188.898 * * [simplify]: iters left: 5 (69 enodes) 188.927 * * [simplify]: iters left: 4 (163 enodes) 189.004 * * [simplify]: iters left: 3 (263 enodes) 189.132 * * [simplify]: iters left: 2 (343 enodes) 189.223 * * [simplify]: iters left: 1 (389 enodes) 189.328 * * [simplify]: Extracting #0: cost 1 inf + 0 189.328 * * [simplify]: Extracting #1: cost 3 inf + 0 189.328 * * [simplify]: Extracting #2: cost 8 inf + 0 189.328 * * [simplify]: Extracting #3: cost 14 inf + 1 189.328 * * [simplify]: Extracting #4: cost 21 inf + 2 189.328 * * [simplify]: Extracting #5: cost 46 inf + 166 189.329 * * [simplify]: Extracting #6: cost 69 inf + 985 189.330 * * [simplify]: Extracting #7: cost 50 inf + 3613 189.332 * * [simplify]: Extracting #8: cost 20 inf + 10224 189.336 * * [simplify]: Extracting #9: cost 0 inf + 15497 189.339 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))) (+ 1 (* v v)))) 189.339 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (* (sqrt (+ 1 (* (* v v) (+ (* 9 (* v v)) 3)))) (+ 1 (* v v)))))) 189.339 * * * * [progress]: [ 361 / 458 ] simplifiying candidate # 189.339 * [simplify]: Simplifying (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 189.339 * * [simplify]: iters left: 6 (14 enodes) 189.344 * * [simplify]: iters left: 5 (57 enodes) 189.355 * * [simplify]: iters left: 4 (109 enodes) 189.380 * * [simplify]: iters left: 3 (231 enodes) 189.449 * * [simplify]: iters left: 2 (324 enodes) 189.508 * * [simplify]: iters left: 1 (404 enodes) 189.623 * * [simplify]: Extracting #0: cost 1 inf + 0 189.623 * * [simplify]: Extracting #1: cost 3 inf + 0 189.623 * * [simplify]: Extracting #2: cost 12 inf + 0 189.623 * * [simplify]: Extracting #3: cost 37 inf + 1 189.624 * * [simplify]: Extracting #4: cost 69 inf + 43 189.625 * * [simplify]: Extracting #5: cost 62 inf + 1212 189.626 * * [simplify]: Extracting #6: cost 40 inf + 4712 189.632 * * [simplify]: Extracting #7: cost 6 inf + 14984 189.639 * * [simplify]: Extracting #8: cost 0 inf + 16862 189.646 * [simplify]: Simplified to (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) 189.646 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ 1 (* 3 (* v v)))))))) 189.646 * * * * [progress]: [ 362 / 458 ] simplifiying candidate # 189.647 * [simplify]: Simplifying (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) 189.647 * * [simplify]: iters left: 6 (10 enodes) 189.653 * * [simplify]: iters left: 5 (44 enodes) 189.667 * * [simplify]: iters left: 4 (60 enodes) 189.687 * * [simplify]: iters left: 3 (85 enodes) 189.714 * * [simplify]: Extracting #0: cost 1 inf + 0 189.714 * * [simplify]: Extracting #1: cost 3 inf + 0 189.714 * * [simplify]: Extracting #2: cost 8 inf + 0 189.714 * * [simplify]: Extracting #3: cost 14 inf + 1 189.714 * * [simplify]: Extracting #4: cost 15 inf + 125 189.715 * * [simplify]: Extracting #5: cost 16 inf + 248 189.715 * * [simplify]: Extracting #6: cost 16 inf + 249 189.715 * * [simplify]: Extracting #7: cost 10 inf + 743 189.716 * * [simplify]: Extracting #8: cost 2 inf + 2407 189.718 * * [simplify]: Extracting #9: cost 0 inf + 2933 189.719 * [simplify]: Simplified to (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))) 189.719 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* v v) 3))))))) 189.720 * * * * [progress]: [ 363 / 458 ] simplifiying candidate # 189.720 * [simplify]: Simplifying (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) 189.720 * * [simplify]: iters left: 6 (11 enodes) 189.728 * * [simplify]: iters left: 5 (44 enodes) 189.744 * * [simplify]: iters left: 4 (89 enodes) 189.765 * * [simplify]: iters left: 3 (184 enodes) 189.824 * * [simplify]: iters left: 2 (258 enodes) 189.886 * * [simplify]: iters left: 1 (329 enodes) 189.988 * * [simplify]: Extracting #0: cost 1 inf + 0 189.988 * * [simplify]: Extracting #1: cost 3 inf + 0 189.988 * * [simplify]: Extracting #2: cost 12 inf + 0 189.988 * * [simplify]: Extracting #3: cost 33 inf + 2 189.988 * * [simplify]: Extracting #4: cost 59 inf + 215 189.989 * * [simplify]: Extracting #5: cost 47 inf + 3137 189.990 * * [simplify]: Extracting #6: cost 25 inf + 6482 189.992 * * [simplify]: Extracting #7: cost 5 inf + 9604 189.994 * * [simplify]: Extracting #8: cost 0 inf + 11164 189.996 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)) 189.996 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (+ (* (+ (* (* v v) (* v v)) (* v v)) 4) 4)))) 189.997 * * * * [progress]: [ 364 / 458 ] simplifiying candidate # 189.997 * [simplify]: Simplifying (sqrt (* 4 (+ 1 (* v v)))) 189.997 * * [simplify]: iters left: 6 (7 enodes) 190.000 * * [simplify]: iters left: 5 (31 enodes) 190.005 * * [simplify]: iters left: 4 (43 enodes) 190.014 * * [simplify]: iters left: 3 (47 enodes) 190.023 * * [simplify]: Extracting #0: cost 1 inf + 0 190.024 * * [simplify]: Extracting #1: cost 3 inf + 0 190.024 * * [simplify]: Extracting #2: cost 7 inf + 0 190.024 * * [simplify]: Extracting #3: cost 12 inf + 1 190.024 * * [simplify]: Extracting #4: cost 10 inf + 86 190.024 * * [simplify]: Extracting #5: cost 3 inf + 619 190.025 * * [simplify]: Extracting #6: cost 0 inf + 1065 190.025 * [simplify]: Simplified to (sqrt (+ 4 (* (* v v) 4))) 190.025 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (+ 4 (* (* v v) 4))))) 190.025 * * * * [progress]: [ 365 / 458 ] simplifiying candidate # 190.026 * [simplify]: Simplifying (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) 190.026 * * [simplify]: iters left: 6 (9 enodes) 190.031 * * [simplify]: iters left: 5 (31 enodes) 190.042 * * [simplify]: iters left: 4 (54 enodes) 190.062 * * [simplify]: iters left: 3 (92 enodes) 190.093 * * [simplify]: iters left: 2 (119 enodes) 190.131 * * [simplify]: iters left: 1 (149 enodes) 190.165 * * [simplify]: Extracting #0: cost 1 inf + 0 190.165 * * [simplify]: Extracting #1: cost 3 inf + 0 190.165 * * [simplify]: Extracting #2: cost 10 inf + 0 190.165 * * [simplify]: Extracting #3: cost 25 inf + 1 190.165 * * [simplify]: Extracting #4: cost 39 inf + 44 190.166 * * [simplify]: Extracting #5: cost 25 inf + 1333 190.166 * * [simplify]: Extracting #6: cost 1 inf + 6473 190.167 * * [simplify]: Extracting #7: cost 0 inf + 6635 190.168 * [simplify]: Simplified to (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))) 190.168 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (+ 1 (+ (* v v) (* (* v v) (* v v))))))) 190.168 * * * * [progress]: [ 366 / 458 ] simplifiying candidate # 190.169 * [simplify]: Simplifying (sqrt (+ 1 (* v v))) 190.169 * * [simplify]: iters left: 5 (5 enodes) 190.170 * * [simplify]: iters left: 4 (18 enodes) 190.173 * * [simplify]: iters left: 3 (20 enodes) 190.176 * * [simplify]: Extracting #0: cost 1 inf + 0 190.176 * * [simplify]: Extracting #1: cost 3 inf + 0 190.176 * * [simplify]: Extracting #2: cost 6 inf + 0 190.177 * * [simplify]: Extracting #3: cost 7 inf + 1 190.177 * * [simplify]: Extracting #4: cost 0 inf + 492 190.177 * [simplify]: Simplified to (sqrt (+ 1 (* v v))) 190.177 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (+ 1 (* v v))))) 190.177 * * * * [progress]: [ 367 / 458 ] simplifiying candidate # 190.177 * [simplify]: Simplifying (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) 190.177 * * [simplify]: iters left: 6 (14 enodes) 190.183 * * [simplify]: iters left: 5 (62 enodes) 190.197 * * [simplify]: iters left: 4 (146 enodes) 190.250 * * [simplify]: iters left: 3 (235 enodes) 190.316 * * [simplify]: iters left: 2 (320 enodes) 190.389 * * [simplify]: iters left: 1 (378 enodes) 190.475 * * [simplify]: Extracting #0: cost 1 inf + 0 190.475 * * [simplify]: Extracting #1: cost 3 inf + 0 190.475 * * [simplify]: Extracting #2: cost 6 inf + 0 190.475 * * [simplify]: Extracting #3: cost 7 inf + 1 190.476 * * [simplify]: Extracting #4: cost 14 inf + 1 190.476 * * [simplify]: Extracting #5: cost 43 inf + 2 190.476 * * [simplify]: Extracting #6: cost 72 inf + 88 190.477 * * [simplify]: Extracting #7: cost 53 inf + 2956 190.479 * * [simplify]: Extracting #8: cost 20 inf + 8881 190.481 * * [simplify]: Extracting #9: cost 7 inf + 12103 190.484 * * [simplify]: Extracting #10: cost 0 inf + 14041 190.486 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)) 4)) 190.486 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) (sqrt (* (sqrt (+ (* (+ (* 9 (* v v)) 3) (* v v)) 1)) 4)))) 190.487 * * * * [progress]: [ 368 / 458 ] simplifiying candidate # 190.487 * [simplify]: Simplifying (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) 190.487 * * [simplify]: iters left: 6 (10 enodes) 190.491 * * [simplify]: iters left: 5 (37 enodes) 190.498 * * [simplify]: iters left: 4 (43 enodes) 190.511 * * [simplify]: Extracting #0: cost 1 inf + 0 190.511 * * [simplify]: Extracting #1: cost 3 inf + 0 190.511 * * [simplify]: Extracting #2: cost 6 inf + 0 190.511 * * [simplify]: Extracting #3: cost 7 inf + 1 190.511 * * [simplify]: Extracting #4: cost 10 inf + 1 190.511 * * [simplify]: Extracting #5: cost 14 inf + 2 190.511 * * [simplify]: Extracting #6: cost 14 inf + 4 190.511 * * [simplify]: Extracting #7: cost 9 inf + 292 190.511 * * [simplify]: Extracting #8: cost 4 inf + 906 190.512 * * [simplify]: Extracting #9: cost 0 inf + 1802 190.512 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) 190.512 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)))) 190.512 * * * * [progress]: [ 369 / 458 ] simplifiying candidate # 190.513 * [simplify]: Simplifying (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) 190.513 * * [simplify]: iters left: 6 (12 enodes) 190.520 * * [simplify]: iters left: 5 (55 enodes) 190.533 * * [simplify]: iters left: 4 (139 enodes) 190.599 * * [simplify]: iters left: 3 (231 enodes) 190.688 * * [simplify]: iters left: 2 (313 enodes) 190.771 * * [simplify]: iters left: 1 (370 enodes) 190.876 * * [simplify]: Extracting #0: cost 1 inf + 0 190.876 * * [simplify]: Extracting #1: cost 3 inf + 0 190.876 * * [simplify]: Extracting #2: cost 5 inf + 0 190.876 * * [simplify]: Extracting #3: cost 12 inf + 0 190.876 * * [simplify]: Extracting #4: cost 40 inf + 1 190.877 * * [simplify]: Extracting #5: cost 73 inf + 129 190.878 * * [simplify]: Extracting #6: cost 46 inf + 3637 190.882 * * [simplify]: Extracting #7: cost 8 inf + 11562 190.887 * * [simplify]: Extracting #8: cost 0 inf + 13514 190.892 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v))))) 190.893 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) (sqrt (sqrt (+ 1 (* (+ 1 (* (* 3 v) v)) (* (* 3 v) v))))))) 190.893 * * * * [progress]: [ 370 / 458 ] simplifiying candidate # 190.893 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (* 3 (* v v))))) 190.893 * * [simplify]: iters left: 6 (8 enodes) 190.898 * * [simplify]: iters left: 5 (30 enodes) 190.908 * * [simplify]: iters left: 4 (36 enodes) 190.919 * * [simplify]: Extracting #0: cost 1 inf + 0 190.919 * * [simplify]: Extracting #1: cost 3 inf + 0 190.919 * * [simplify]: Extracting #2: cost 5 inf + 0 190.920 * * [simplify]: Extracting #3: cost 8 inf + 0 190.920 * * [simplify]: Extracting #4: cost 12 inf + 1 190.920 * * [simplify]: Extracting #5: cost 11 inf + 44 190.920 * * [simplify]: Extracting #6: cost 6 inf + 414 190.920 * * [simplify]: Extracting #7: cost 0 inf + 1311 190.921 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (* v v) 3)))) 190.921 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) (sqrt (sqrt (+ 1 (* (* v v) 3)))))) 190.921 * * * * [progress]: [ 371 / 458 ] simplifiying candidate # 190.921 * [simplify]: Simplifying (sqrt 4) 190.922 * * [simplify]: iters left: 1 (2 enodes) 190.924 * * [simplify]: Extracting #0: cost 1 inf + 0 190.924 * * [simplify]: Extracting #1: cost 0 inf + 1 190.924 * [simplify]: Simplified to 2 190.924 * [simplify]: Simplified (2 2) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 2)) 190.924 * * * * [progress]: [ 372 / 458 ] simplifiying candidate # 190.925 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 190.925 * * [simplify]: iters left: 6 (25 enodes) 190.941 * * [simplify]: iters left: 5 (116 enodes) 190.990 * * [simplify]: iters left: 4 (294 enodes) 191.152 * * [simplify]: Extracting #0: cost 1 inf + 0 191.152 * * [simplify]: Extracting #1: cost 4 inf + 0 191.152 * * [simplify]: Extracting #2: cost 8 inf + 0 191.153 * * [simplify]: Extracting #3: cost 32 inf + 0 191.153 * * [simplify]: Extracting #4: cost 105 inf + 1 191.159 * * [simplify]: Extracting #5: cost 168 inf + 127 191.161 * * [simplify]: Extracting #6: cost 202 inf + 3928 191.169 * * [simplify]: Extracting #7: cost 149 inf + 24579 191.189 * * [simplify]: Extracting #8: cost 38 inf + 52220 191.204 * * [simplify]: Extracting #9: cost 3 inf + 63648 191.217 * * [simplify]: Extracting #10: cost 0 inf + 65143 191.236 * [simplify]: Simplified to (* (sqrt (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v))))))) 191.236 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (* (sqrt (- 1 (* (* 27 (* v v)) (* (* v v) (* v v))))) (sqrt 2)) (- 1 (* (* v v) (* (* v v) (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 191.237 * * * * [progress]: [ 373 / 458 ] simplifiying candidate # 191.237 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 191.238 * * [simplify]: iters left: 6 (26 enodes) 191.254 * * [simplify]: iters left: 5 (114 enodes) 191.302 * * [simplify]: iters left: 4 (273 enodes) 191.417 * * [simplify]: Extracting #0: cost 1 inf + 0 191.417 * * [simplify]: Extracting #1: cost 4 inf + 0 191.417 * * [simplify]: Extracting #2: cost 8 inf + 0 191.418 * * [simplify]: Extracting #3: cost 32 inf + 0 191.418 * * [simplify]: Extracting #4: cost 96 inf + 1 191.419 * * [simplify]: Extracting #5: cost 121 inf + 537 191.421 * * [simplify]: Extracting #6: cost 157 inf + 3807 191.429 * * [simplify]: Extracting #7: cost 131 inf + 18885 191.447 * * [simplify]: Extracting #8: cost 19 inf + 43838 191.469 * * [simplify]: Extracting #9: cost 2 inf + 49789 191.491 * * [simplify]: Extracting #10: cost 0 inf + 50415 191.512 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ 1 (* (* (* (* v v) (* v v)) (* v v)) -27))) (sqrt 2))))) 191.512 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (+ 1 (* (* (* (* v v) (* v v)) (* v v)) -27))) (sqrt 2))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))) 191.512 * * * * [progress]: [ 374 / 458 ] simplifiying candidate # 191.513 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 191.513 * * [simplify]: iters left: 6 (26 enodes) 191.530 * * [simplify]: iters left: 5 (115 enodes) 191.558 * * [simplify]: iters left: 4 (272 enodes) 191.665 * * [simplify]: Extracting #0: cost 1 inf + 0 191.665 * * [simplify]: Extracting #1: cost 4 inf + 0 191.665 * * [simplify]: Extracting #2: cost 8 inf + 0 191.665 * * [simplify]: Extracting #3: cost 32 inf + 0 191.665 * * [simplify]: Extracting #4: cost 105 inf + 1 191.665 * * [simplify]: Extracting #5: cost 165 inf + 618 191.667 * * [simplify]: Extracting #6: cost 168 inf + 4323 191.671 * * [simplify]: Extracting #7: cost 87 inf + 27639 191.680 * * [simplify]: Extracting #8: cost 18 inf + 44070 191.700 * * [simplify]: Extracting #9: cost 0 inf + 50048 191.714 * [simplify]: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* (* v v) -3) 1)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) 191.714 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* (* v v) -3) 1)))) (sqrt (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (sqrt 2))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 191.714 * * * * [progress]: [ 375 / 458 ] simplifiying candidate # 191.714 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 191.714 * * [simplify]: iters left: 6 (25 enodes) 191.722 * * [simplify]: iters left: 5 (108 enodes) 191.747 * * [simplify]: iters left: 4 (236 enodes) 191.825 * * [simplify]: Extracting #0: cost 1 inf + 0 191.825 * * [simplify]: Extracting #1: cost 4 inf + 0 191.825 * * [simplify]: Extracting #2: cost 8 inf + 0 191.825 * * [simplify]: Extracting #3: cost 32 inf + 0 191.826 * * [simplify]: Extracting #4: cost 93 inf + 1 191.827 * * [simplify]: Extracting #5: cost 122 inf + 127 191.828 * * [simplify]: Extracting #6: cost 121 inf + 3338 191.835 * * [simplify]: Extracting #7: cost 65 inf + 17171 191.846 * * [simplify]: Extracting #8: cost 28 inf + 24200 191.860 * * [simplify]: Extracting #9: cost 3 inf + 31986 191.868 * * [simplify]: Extracting #10: cost 0 inf + 33359 191.879 * [simplify]: Simplified to (* (sqrt (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) 191.879 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (- 1 (* v v)) (sqrt 2)) (/ 4 (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))) 191.879 * * * * [progress]: [ 376 / 458 ] simplifiying candidate # 191.879 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 191.880 * * [simplify]: iters left: 6 (25 enodes) 191.888 * * [simplify]: iters left: 5 (118 enodes) 191.918 * * [simplify]: iters left: 4 (308 enodes) 192.037 * * [simplify]: Extracting #0: cost 1 inf + 0 192.037 * * [simplify]: Extracting #1: cost 4 inf + 0 192.037 * * [simplify]: Extracting #2: cost 8 inf + 0 192.037 * * [simplify]: Extracting #3: cost 41 inf + 0 192.037 * * [simplify]: Extracting #4: cost 124 inf + 1 192.038 * * [simplify]: Extracting #5: cost 185 inf + 414 192.040 * * [simplify]: Extracting #6: cost 195 inf + 15515 192.049 * * [simplify]: Extracting #7: cost 114 inf + 51131 192.072 * * [simplify]: Extracting #8: cost 15 inf + 69834 192.105 * * [simplify]: Extracting #9: cost 0 inf + 74566 192.138 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3)))))) 192.138 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 192.139 * * * * [progress]: [ 377 / 458 ] simplifiying candidate # 192.139 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 192.139 * * [simplify]: iters left: 6 (26 enodes) 192.156 * * [simplify]: iters left: 5 (116 enodes) 192.182 * * [simplify]: iters left: 4 (287 enodes) 192.303 * * [simplify]: Extracting #0: cost 1 inf + 0 192.303 * * [simplify]: Extracting #1: cost 4 inf + 0 192.303 * * [simplify]: Extracting #2: cost 8 inf + 0 192.304 * * [simplify]: Extracting #3: cost 39 inf + 0 192.304 * * [simplify]: Extracting #4: cost 116 inf + 1 192.305 * * [simplify]: Extracting #5: cost 143 inf + 291 192.307 * * [simplify]: Extracting #6: cost 178 inf + 3874 192.316 * * [simplify]: Extracting #7: cost 144 inf + 20928 192.333 * * [simplify]: Extracting #8: cost 18 inf + 52063 192.346 * * [simplify]: Extracting #9: cost 0 inf + 57823 192.366 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)) (- 1 (* v v)))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))))) 192.366 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)) (- 1 (* v v)))) (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))) 192.366 * * * * [progress]: [ 378 / 458 ] simplifiying candidate # 192.367 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 192.367 * * [simplify]: iters left: 6 (26 enodes) 192.383 * * [simplify]: iters left: 5 (117 enodes) 192.430 * * [simplify]: iters left: 4 (286 enodes) 192.528 * * [simplify]: Extracting #0: cost 1 inf + 0 192.528 * * [simplify]: Extracting #1: cost 4 inf + 0 192.528 * * [simplify]: Extracting #2: cost 8 inf + 0 192.528 * * [simplify]: Extracting #3: cost 39 inf + 0 192.532 * * [simplify]: Extracting #4: cost 128 inf + 1 192.533 * * [simplify]: Extracting #5: cost 189 inf + 291 192.534 * * [simplify]: Extracting #6: cost 177 inf + 9167 192.543 * * [simplify]: Extracting #7: cost 57 inf + 42471 192.565 * * [simplify]: Extracting #8: cost 0 inf + 58750 192.582 * * [simplify]: Extracting #9: cost 0 inf + 58510 192.595 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) 4)) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))))) 192.595 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))) 4)) (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v (* v v)) (* v (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 192.595 * * * * [progress]: [ 379 / 458 ] simplifiying candidate # 192.595 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 192.595 * * [simplify]: iters left: 6 (25 enodes) 192.604 * * [simplify]: iters left: 5 (110 enodes) 192.634 * * [simplify]: iters left: 4 (250 enodes) 192.728 * * [simplify]: Extracting #0: cost 1 inf + 0 192.728 * * [simplify]: Extracting #1: cost 4 inf + 0 192.728 * * [simplify]: Extracting #2: cost 8 inf + 0 192.728 * * [simplify]: Extracting #3: cost 39 inf + 0 192.729 * * [simplify]: Extracting #4: cost 116 inf + 1 192.730 * * [simplify]: Extracting #5: cost 144 inf + 209 192.732 * * [simplify]: Extracting #6: cost 151 inf + 2937 192.736 * * [simplify]: Extracting #7: cost 119 inf + 8503 192.743 * * [simplify]: Extracting #8: cost 71 inf + 18100 192.760 * * [simplify]: Extracting #9: cost 6 inf + 38681 192.769 * * [simplify]: Extracting #10: cost 0 inf + 41027 192.779 * [simplify]: Simplified to (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) 192.779 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))))) 192.779 * * * * [progress]: [ 380 / 458 ] simplifiying candidate # 192.779 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 192.779 * * [simplify]: iters left: 6 (22 enodes) 192.790 * * [simplify]: iters left: 5 (96 enodes) 192.826 * * [simplify]: iters left: 4 (212 enodes) 192.903 * * [simplify]: Extracting #0: cost 1 inf + 0 192.903 * * [simplify]: Extracting #1: cost 4 inf + 0 192.903 * * [simplify]: Extracting #2: cost 8 inf + 0 192.903 * * [simplify]: Extracting #3: cost 35 inf + 0 192.903 * * [simplify]: Extracting #4: cost 106 inf + 1 192.904 * * [simplify]: Extracting #5: cost 161 inf + 331 192.907 * * [simplify]: Extracting #6: cost 122 inf + 7856 192.918 * * [simplify]: Extracting #7: cost 25 inf + 35159 192.933 * * [simplify]: Extracting #8: cost 3 inf + 41668 192.948 * * [simplify]: Extracting #9: cost 0 inf + 43006 192.964 * [simplify]: Simplified to (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (/ 4 (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v))))))) 192.964 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (/ 4 (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* (* v v) (* v v)) (* v v))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) 192.965 * * * * [progress]: [ 381 / 458 ] simplifiying candidate # 192.965 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 192.965 * * [simplify]: iters left: 6 (22 enodes) 192.978 * * [simplify]: iters left: 5 (89 enodes) 192.998 * * [simplify]: iters left: 4 (176 enodes) 193.060 * * [simplify]: iters left: 3 (381 enodes) 193.227 * * [simplify]: Extracting #0: cost 1 inf + 0 193.228 * * [simplify]: Extracting #1: cost 4 inf + 0 193.228 * * [simplify]: Extracting #2: cost 8 inf + 0 193.228 * * [simplify]: Extracting #3: cost 52 inf + 0 193.228 * * [simplify]: Extracting #4: cost 158 inf + 2 193.229 * * [simplify]: Extracting #5: cost 217 inf + 654 193.233 * * [simplify]: Extracting #6: cost 122 inf + 18852 193.246 * * [simplify]: Extracting #7: cost 11 inf + 48731 193.267 * * [simplify]: Extracting #8: cost 0 inf + 51052 193.288 * * [simplify]: Extracting #9: cost 0 inf + 51012 193.315 * [simplify]: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) 193.315 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* 4 (+ 1 (* v v)))))) 193.316 * * * * [progress]: [ 382 / 458 ] simplifiying candidate # 193.316 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 193.316 * * [simplify]: iters left: 6 (21 enodes) 193.330 * * [simplify]: iters left: 5 (93 enodes) 193.367 * * [simplify]: iters left: 4 (215 enodes) 193.439 * * [simplify]: Extracting #0: cost 1 inf + 0 193.439 * * [simplify]: Extracting #1: cost 4 inf + 0 193.439 * * [simplify]: Extracting #2: cost 8 inf + 0 193.439 * * [simplify]: Extracting #3: cost 36 inf + 0 193.440 * * [simplify]: Extracting #4: cost 111 inf + 1 193.441 * * [simplify]: Extracting #5: cost 163 inf + 708 193.443 * * [simplify]: Extracting #6: cost 138 inf + 5576 193.451 * * [simplify]: Extracting #7: cost 64 inf + 26244 193.468 * * [simplify]: Extracting #8: cost 6 inf + 46534 193.485 * * [simplify]: Extracting #9: cost 0 inf + 48887 193.495 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)) (- 1 (* v v))))) 193.495 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* (* v v) v) (* (* v v) v))) (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* 3 v) v))) (/ (sqrt 2) 4)) (- 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 193.495 * * * * [progress]: [ 383 / 458 ] simplifiying candidate # 193.495 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 193.496 * * [simplify]: iters left: 6 (21 enodes) 193.502 * * [simplify]: iters left: 5 (86 enodes) 193.528 * * [simplify]: iters left: 4 (179 enodes) 193.574 * * [simplify]: iters left: 3 (392 enodes) 193.736 * * [simplify]: Extracting #0: cost 1 inf + 0 193.736 * * [simplify]: Extracting #1: cost 4 inf + 0 193.736 * * [simplify]: Extracting #2: cost 8 inf + 0 193.737 * * [simplify]: Extracting #3: cost 48 inf + 0 193.737 * * [simplify]: Extracting #4: cost 144 inf + 2 193.739 * * [simplify]: Extracting #5: cost 224 inf + 577 193.742 * * [simplify]: Extracting #6: cost 158 inf + 11250 193.747 * * [simplify]: Extracting #7: cost 95 inf + 26342 193.760 * * [simplify]: Extracting #8: cost 7 inf + 53313 193.788 * * [simplify]: Extracting #9: cost 0 inf + 55631 193.820 * [simplify]: Simplified to (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)) (- 1 (* v v))))) 193.820 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* (* v v) (* v v))) (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)) (- 1 (* v v))))) (sqrt (+ 1 (* v v))))) 193.821 * * * * [progress]: [ 384 / 458 ] simplifiying candidate # 193.821 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 193.821 * * [simplify]: iters left: 6 (23 enodes) 193.836 * * [simplify]: iters left: 5 (102 enodes) 193.870 * * [simplify]: iters left: 4 (248 enodes) 193.972 * * [simplify]: Extracting #0: cost 1 inf + 0 193.972 * * [simplify]: Extracting #1: cost 4 inf + 0 193.972 * * [simplify]: Extracting #2: cost 8 inf + 0 193.973 * * [simplify]: Extracting #3: cost 30 inf + 0 193.973 * * [simplify]: Extracting #4: cost 82 inf + 1 193.973 * * [simplify]: Extracting #5: cost 98 inf + 209 193.974 * * [simplify]: Extracting #6: cost 148 inf + 1799 193.976 * * [simplify]: Extracting #7: cost 152 inf + 7782 193.982 * * [simplify]: Extracting #8: cost 47 inf + 30076 193.991 * * [simplify]: Extracting #9: cost 4 inf + 42934 194.001 * * [simplify]: Extracting #10: cost 0 inf + 44688 194.022 * [simplify]: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (/ (sqrt 2) 4)))) 194.022 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (+ 1 (* (* (* v (* v v)) (* v (* v v))) -27))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (sqrt (+ (* -3 (* v v)) 1)) (- 1 (* v v))) (/ (sqrt 2) 4)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))) 194.023 * * * * [progress]: [ 385 / 458 ] simplifiying candidate # 194.023 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 194.023 * * [simplify]: iters left: 6 (23 enodes) 194.038 * * [simplify]: iters left: 5 (97 enodes) 194.070 * * [simplify]: iters left: 4 (216 enodes) 194.141 * * [simplify]: iters left: 3 (491 enodes) 194.355 * * [simplify]: Extracting #0: cost 1 inf + 0 194.355 * * [simplify]: Extracting #1: cost 4 inf + 0 194.355 * * [simplify]: Extracting #2: cost 8 inf + 0 194.355 * * [simplify]: Extracting #3: cost 41 inf + 0 194.355 * * [simplify]: Extracting #4: cost 114 inf + 2 194.356 * * [simplify]: Extracting #5: cost 144 inf + 331 194.357 * * [simplify]: Extracting #6: cost 136 inf + 4001 194.359 * * [simplify]: Extracting #7: cost 128 inf + 8158 194.363 * * [simplify]: Extracting #8: cost 81 inf + 15277 194.378 * * [simplify]: Extracting #9: cost 14 inf + 34533 194.403 * * [simplify]: Extracting #10: cost 0 inf + 39352 194.429 * [simplify]: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* v (* -3 v)) 1))))) 194.429 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (+ (* v (* -3 v)) 1))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) 194.429 * * * * [progress]: [ 386 / 458 ] simplifiying candidate # 194.430 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 194.430 * * [simplify]: iters left: 6 (23 enodes) 194.450 * * [simplify]: iters left: 5 (104 enodes) 194.491 * * [simplify]: iters left: 4 (260 enodes) 194.586 * * [simplify]: Extracting #0: cost 1 inf + 0 194.586 * * [simplify]: Extracting #1: cost 4 inf + 0 194.586 * * [simplify]: Extracting #2: cost 8 inf + 0 194.586 * * [simplify]: Extracting #3: cost 35 inf + 0 194.587 * * [simplify]: Extracting #4: cost 94 inf + 1 194.587 * * [simplify]: Extracting #5: cost 107 inf + 455 194.588 * * [simplify]: Extracting #6: cost 157 inf + 1842 194.589 * * [simplify]: Extracting #7: cost 190 inf + 3552 194.593 * * [simplify]: Extracting #8: cost 110 inf + 19940 194.604 * * [simplify]: Extracting #9: cost 8 inf + 48420 194.626 * * [simplify]: Extracting #10: cost 0 inf + 51000 194.638 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v)))))) 194.638 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* 27 (* (* v v) (* v v))) (* v v)))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) 194.639 * * * * [progress]: [ 387 / 458 ] simplifiying candidate # 194.639 * [simplify]: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 194.639 * * [simplify]: iters left: 6 (23 enodes) 194.647 * * [simplify]: iters left: 5 (99 enodes) 194.685 * * [simplify]: iters left: 4 (228 enodes) 194.766 * * [simplify]: Extracting #0: cost 1 inf + 0 194.766 * * [simplify]: Extracting #1: cost 4 inf + 0 194.766 * * [simplify]: Extracting #2: cost 8 inf + 0 194.766 * * [simplify]: Extracting #3: cost 37 inf + 0 194.766 * * [simplify]: Extracting #4: cost 93 inf + 1 194.767 * * [simplify]: Extracting #5: cost 107 inf + 414 194.767 * * [simplify]: Extracting #6: cost 126 inf + 2167 194.769 * * [simplify]: Extracting #7: cost 119 inf + 3842 194.773 * * [simplify]: Extracting #8: cost 51 inf + 17240 194.792 * * [simplify]: Extracting #9: cost 5 inf + 31792 194.808 * * [simplify]: Extracting #10: cost 0 inf + 33656 194.824 * [simplify]: Simplified to (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (/ 4 (- 1 (* v v)))))) 194.824 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (* (- 1 (* v v)) (* (sqrt (- 1 (* (* (* v v) (* v v)) 9))) (/ (sqrt 2) 4)))) (sqrt (/ (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (/ 4 (- 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) 194.824 * * * * [progress]: [ 388 / 458 ] simplifiying candidate # 194.825 * [simplify]: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) 194.825 * * [simplify]: iters left: 6 (19 enodes) 194.836 * * [simplify]: iters left: 5 (75 enodes) 194.856 * * [simplify]: iters left: 4 (135 enodes) 194.890 * * [simplify]: iters left: 3 (279 enodes) 194.996 * * [simplify]: Extracting #0: cost 1 inf + 0 194.996 * * [simplify]: Extracting #1: cost 4 inf + 0 194.996 * * [simplify]: Extracting #2: cost 8 inf + 0 194.996 * * [simplify]: Extracting #3: cost 45 inf + 0 194.997 * * [simplify]: Extracting #4: cost 119 inf + 2 194.997 * * [simplify]: Extracting #5: cost 129 inf + 983 194.999 * * [simplify]: Extracting #6: cost 90 inf + 6652 195.000 * * [simplify]: Extracting #7: cost 72 inf + 9833 195.007 * * [simplify]: Extracting #8: cost 13 inf + 25544 195.019 * * [simplify]: Extracting #9: cost 2 inf + 29113 195.037 * * [simplify]: Extracting #10: cost 0 inf + 30123 195.047 * [simplify]: Simplified to (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* v v)))) (sqrt (* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) 195.047 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (sqrt (- (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt 2)) (* v v)))) (sqrt (* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) (sqrt 4))) 195.047 * * * * [progress]: [ 389 / 458 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))))> 195.047 * * * * [progress]: [ 390 / 458 ] simplifiying candidate # 195.047 * * * * [progress]: [ 391 / 458 ] simplifiying candidate # 195.048 * [simplify]: Simplifying (* 3 (* v v)) 195.048 * * [simplify]: iters left: 4 (4 enodes) 195.049 * * [simplify]: iters left: 3 (15 enodes) 195.052 * * [simplify]: iters left: 2 (19 enodes) 195.055 * * [simplify]: Extracting #0: cost 1 inf + 0 195.055 * * [simplify]: Extracting #1: cost 6 inf + 0 195.055 * * [simplify]: Extracting #2: cost 5 inf + 43 195.055 * * [simplify]: Extracting #3: cost 0 inf + 332 195.055 * [simplify]: Simplified to (* 3 (* v v)) 195.055 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))))) 195.056 * * * * [progress]: [ 392 / 458 ] simplifiying candidate # 195.056 * [simplify]: Simplifying (* 3 (* v v)) 195.056 * * [simplify]: iters left: 4 (4 enodes) 195.057 * * [simplify]: iters left: 3 (15 enodes) 195.060 * * [simplify]: iters left: 2 (19 enodes) 195.063 * * [simplify]: Extracting #0: cost 1 inf + 0 195.063 * * [simplify]: Extracting #1: cost 6 inf + 0 195.064 * * [simplify]: Extracting #2: cost 5 inf + 43 195.064 * * [simplify]: Extracting #3: cost 0 inf + 332 195.064 * [simplify]: Simplified to (* 3 (* v v)) 195.064 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))))) 195.064 * * * * [progress]: [ 393 / 458 ] simplifiying candidate # 195.064 * * * * [progress]: [ 394 / 458 ] simplifiying candidate # 195.064 * [simplify]: Simplifying (+ (log 3) (+ (log v) (log v))) 195.064 * * [simplify]: iters left: 5 (6 enodes) 195.066 * * [simplify]: iters left: 4 (21 enodes) 195.070 * * [simplify]: iters left: 3 (25 enodes) 195.074 * * [simplify]: Extracting #0: cost 1 inf + 0 195.074 * * [simplify]: Extracting #1: cost 6 inf + 0 195.074 * * [simplify]: Extracting #2: cost 12 inf + 0 195.075 * * [simplify]: Extracting #3: cost 10 inf + 2 195.075 * * [simplify]: Extracting #4: cost 0 inf + 1316 195.075 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 195.075 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))))) 195.075 * * * * [progress]: [ 395 / 458 ] simplifiying candidate # 195.075 * [simplify]: Simplifying (+ (log 3) (log (* v v))) 195.075 * * [simplify]: iters left: 5 (6 enodes) 195.077 * * [simplify]: iters left: 4 (21 enodes) 195.083 * * [simplify]: iters left: 3 (27 enodes) 195.092 * * [simplify]: iters left: 2 (32 enodes) 195.103 * * [simplify]: Extracting #0: cost 1 inf + 0 195.104 * * [simplify]: Extracting #1: cost 6 inf + 0 195.104 * * [simplify]: Extracting #2: cost 13 inf + 0 195.104 * * [simplify]: Extracting #3: cost 9 inf + 185 195.104 * * [simplify]: Extracting #4: cost 4 inf + 741 195.104 * * [simplify]: Extracting #5: cost 0 inf + 1398 195.105 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 195.105 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))))) 195.105 * * * * [progress]: [ 396 / 458 ] simplifiying candidate # 195.105 * * * * [progress]: [ 397 / 458 ] simplifiying candidate # 195.105 * * * * [progress]: [ 398 / 458 ] simplifiying candidate # 195.106 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) v) (* (* v v) v))) 195.106 * * [simplify]: iters left: 6 (8 enodes) 195.112 * * [simplify]: iters left: 5 (38 enodes) 195.131 * * [simplify]: iters left: 4 (96 enodes) 195.166 * * [simplify]: iters left: 3 (265 enodes) 195.343 * * [simplify]: Extracting #0: cost 1 inf + 0 195.343 * * [simplify]: Extracting #1: cost 54 inf + 0 195.344 * * [simplify]: Extracting #2: cost 83 inf + 1839 195.346 * * [simplify]: Extracting #3: cost 30 inf + 7514 195.349 * * [simplify]: Extracting #4: cost 8 inf + 12317 195.353 * * [simplify]: Extracting #5: cost 0 inf + 14739 195.357 * [simplify]: Simplified to (* 27 (* (* v (* v v)) (* v (* v v)))) 195.357 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* 27 (* (* v (* v v)) (* v (* v v)))))))) (- 1 (* v v)))))) 195.357 * * * * [progress]: [ 399 / 458 ] simplifiying candidate # 195.357 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) (* v v)) (* v v))) 195.358 * * [simplify]: iters left: 6 (8 enodes) 195.361 * * [simplify]: iters left: 5 (39 enodes) 195.370 * * [simplify]: iters left: 4 (96 enodes) 195.394 * * [simplify]: iters left: 3 (269 enodes) 195.540 * * [simplify]: Extracting #0: cost 1 inf + 0 195.541 * * [simplify]: Extracting #1: cost 72 inf + 0 195.542 * * [simplify]: Extracting #2: cost 120 inf + 818 195.547 * * [simplify]: Extracting #3: cost 39 inf + 12504 195.556 * * [simplify]: Extracting #4: cost 1 inf + 19795 195.564 * * [simplify]: Extracting #5: cost 0 inf + 20047 195.572 * [simplify]: Simplified to (* (* v v) (* (* (* v v) (* v v)) 27)) 195.572 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* v v) (* (* (* v v) (* v v)) 27)))))) (- 1 (* v v)))))) 195.573 * * * * [progress]: [ 400 / 458 ] simplifiying candidate # 195.573 * * * * [progress]: [ 401 / 458 ] simplifiying candidate # 195.573 * * * * [progress]: [ 402 / 458 ] simplifiying candidate # 195.573 * * * * [progress]: [ 403 / 458 ] simplifiying candidate # 195.573 * * * * [progress]: [ 404 / 458 ] simplifiying candidate # 195.573 * [simplify]: Simplifying (* (sqrt 3) v) 195.574 * * [simplify]: iters left: 3 (4 enodes) 195.576 * * [simplify]: iters left: 2 (13 enodes) 195.581 * * [simplify]: Extracting #0: cost 1 inf + 0 195.581 * * [simplify]: Extracting #1: cost 4 inf + 0 195.581 * * [simplify]: Extracting #2: cost 5 inf + 1 195.581 * * [simplify]: Extracting #3: cost 4 inf + 2 195.581 * * [simplify]: Extracting #4: cost 0 inf + 248 195.581 * [simplify]: Simplified to (* v (sqrt 3)) 195.581 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (sqrt 3)) (* (sqrt 3) v))))) (- 1 (* v v)))))) 195.582 * [simplify]: Simplifying (* (sqrt 3) v) 195.582 * * [simplify]: iters left: 3 (4 enodes) 195.584 * * [simplify]: iters left: 2 (13 enodes) 195.589 * * [simplify]: Extracting #0: cost 1 inf + 0 195.589 * * [simplify]: Extracting #1: cost 4 inf + 0 195.589 * * [simplify]: Extracting #2: cost 5 inf + 1 195.589 * * [simplify]: Extracting #3: cost 4 inf + 2 195.589 * * [simplify]: Extracting #4: cost 0 inf + 248 195.589 * [simplify]: Simplified to (* v (sqrt 3)) 195.589 * [simplify]: Simplified (2 2 1 1 2 1 2 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (sqrt 3) v) (* v (sqrt 3)))))) (- 1 (* v v)))))) 195.590 * * * * [progress]: [ 405 / 458 ] simplifiying candidate # 195.590 * * * * [progress]: [ 406 / 458 ] simplifiying candidate # 195.590 * [simplify]: Simplifying (* (cbrt 3) (cbrt 3)) 195.590 * * [simplify]: iters left: 3 (3 enodes) 195.592 * * [simplify]: iters left: 2 (9 enodes) 195.595 * * [simplify]: Extracting #0: cost 1 inf + 0 195.595 * * [simplify]: Extracting #1: cost 3 inf + 0 195.595 * * [simplify]: Extracting #2: cost 5 inf + 0 195.595 * * [simplify]: Extracting #3: cost 4 inf + 1 195.596 * * [simplify]: Extracting #4: cost 0 inf + 405 195.596 * [simplify]: Simplified to (* (cbrt 3) (cbrt 3)) 195.596 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* v v)))))) (- 1 (* v v)))))) 195.596 * * * * [progress]: [ 407 / 458 ] simplifiying candidate # 195.596 * [simplify]: Simplifying (sqrt 3) 195.596 * * [simplify]: iters left: 1 (2 enodes) 195.598 * * [simplify]: Extracting #0: cost 1 inf + 0 195.598 * * [simplify]: Extracting #1: cost 3 inf + 0 195.598 * * [simplify]: Extracting #2: cost 2 inf + 1 195.598 * * [simplify]: Extracting #3: cost 0 inf + 83 195.598 * [simplify]: Simplified to (sqrt 3) 195.598 * [simplify]: Simplified (2 2 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt 3) (* (sqrt 3) (* v v)))))) (- 1 (* v v)))))) 195.599 * * * * [progress]: [ 408 / 458 ] simplifiying candidate # 195.599 * * * * [progress]: [ 409 / 458 ] simplifiying candidate #real (real->posit16 (* 3 (* v v))))))) (- 1 (* v v))))))> 195.599 * * * * [progress]: [ 410 / 458 ] simplifiying candidate # 195.599 * * * * [progress]: [ 411 / 458 ] simplifiying candidate # 195.599 * [simplify]: Simplifying (* 3 (* v v)) 195.599 * * [simplify]: iters left: 4 (4 enodes) 195.602 * * [simplify]: iters left: 3 (15 enodes) 195.606 * * [simplify]: iters left: 2 (19 enodes) 195.612 * * [simplify]: Extracting #0: cost 1 inf + 0 195.612 * * [simplify]: Extracting #1: cost 6 inf + 0 195.612 * * [simplify]: Extracting #2: cost 5 inf + 43 195.612 * * [simplify]: Extracting #3: cost 0 inf + 332 195.613 * [simplify]: Simplified to (* 3 (* v v)) 195.613 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 195.613 * * * * [progress]: [ 412 / 458 ] simplifiying candidate # 195.613 * [simplify]: Simplifying (* 3 (* v v)) 195.613 * * [simplify]: iters left: 4 (4 enodes) 195.616 * * [simplify]: iters left: 3 (15 enodes) 195.621 * * [simplify]: iters left: 2 (19 enodes) 195.626 * * [simplify]: Extracting #0: cost 1 inf + 0 195.627 * * [simplify]: Extracting #1: cost 6 inf + 0 195.627 * * [simplify]: Extracting #2: cost 5 inf + 43 195.627 * * [simplify]: Extracting #3: cost 0 inf + 332 195.627 * [simplify]: Simplified to (* 3 (* v v)) 195.627 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 195.627 * * * * [progress]: [ 413 / 458 ] simplifiying candidate # 195.627 * * * * [progress]: [ 414 / 458 ] simplifiying candidate # 195.628 * [simplify]: Simplifying (+ (log 3) (+ (log v) (log v))) 195.628 * * [simplify]: iters left: 5 (6 enodes) 195.631 * * [simplify]: iters left: 4 (21 enodes) 195.638 * * [simplify]: iters left: 3 (25 enodes) 195.646 * * [simplify]: Extracting #0: cost 1 inf + 0 195.646 * * [simplify]: Extracting #1: cost 6 inf + 0 195.646 * * [simplify]: Extracting #2: cost 12 inf + 0 195.646 * * [simplify]: Extracting #3: cost 10 inf + 2 195.646 * * [simplify]: Extracting #4: cost 0 inf + 1316 195.647 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 195.647 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 195.647 * * * * [progress]: [ 415 / 458 ] simplifiying candidate # 195.647 * [simplify]: Simplifying (+ (log 3) (log (* v v))) 195.647 * * [simplify]: iters left: 5 (6 enodes) 195.651 * * [simplify]: iters left: 4 (21 enodes) 195.658 * * [simplify]: iters left: 3 (27 enodes) 195.667 * * [simplify]: iters left: 2 (32 enodes) 195.675 * * [simplify]: Extracting #0: cost 1 inf + 0 195.675 * * [simplify]: Extracting #1: cost 6 inf + 0 195.675 * * [simplify]: Extracting #2: cost 13 inf + 0 195.676 * * [simplify]: Extracting #3: cost 9 inf + 185 195.676 * * [simplify]: Extracting #4: cost 4 inf + 741 195.676 * * [simplify]: Extracting #5: cost 0 inf + 1398 195.677 * [simplify]: Simplified to (+ (log 3) (+ (log v) (log v))) 195.677 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (+ (log 3) (+ (log v) (log v))))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 195.677 * * * * [progress]: [ 416 / 458 ] simplifiying candidate # 195.677 * * * * [progress]: [ 417 / 458 ] simplifiying candidate # 195.677 * * * * [progress]: [ 418 / 458 ] simplifiying candidate # 195.677 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) v) (* (* v v) v))) 195.678 * * [simplify]: iters left: 6 (8 enodes) 195.686 * * [simplify]: iters left: 5 (38 enodes) 195.705 * * [simplify]: iters left: 4 (96 enodes) 195.745 * * [simplify]: iters left: 3 (265 enodes) 195.908 * * [simplify]: Extracting #0: cost 1 inf + 0 195.909 * * [simplify]: Extracting #1: cost 54 inf + 0 195.910 * * [simplify]: Extracting #2: cost 83 inf + 1839 195.915 * * [simplify]: Extracting #3: cost 30 inf + 7514 195.922 * * [simplify]: Extracting #4: cost 8 inf + 12317 195.929 * * [simplify]: Extracting #5: cost 0 inf + 14739 195.936 * [simplify]: Simplified to (* 27 (* (* v (* v v)) (* v (* v v)))) 195.936 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* 27 (* (* v (* v v)) (* v (* v v)))))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 195.937 * * * * [progress]: [ 419 / 458 ] simplifiying candidate # 195.937 * [simplify]: Simplifying (* (* (* 3 3) 3) (* (* (* v v) (* v v)) (* v v))) 195.937 * * [simplify]: iters left: 6 (8 enodes) 195.943 * * [simplify]: iters left: 5 (39 enodes) 195.954 * * [simplify]: iters left: 4 (96 enodes) 195.982 * * [simplify]: iters left: 3 (269 enodes) 196.135 * * [simplify]: Extracting #0: cost 1 inf + 0 196.135 * * [simplify]: Extracting #1: cost 72 inf + 0 196.139 * * [simplify]: Extracting #2: cost 120 inf + 818 196.142 * * [simplify]: Extracting #3: cost 39 inf + 12504 196.146 * * [simplify]: Extracting #4: cost 1 inf + 19795 196.150 * * [simplify]: Extracting #5: cost 0 inf + 20047 196.155 * [simplify]: Simplified to (* (* v v) (* (* (* v v) (* v v)) 27)) 196.155 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* v v) (* (* (* v v) (* v v)) 27)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 196.155 * * * * [progress]: [ 420 / 458 ] simplifiying candidate # 196.155 * * * * [progress]: [ 421 / 458 ] simplifiying candidate # 196.155 * * * * [progress]: [ 422 / 458 ] simplifiying candidate # 196.155 * * * * [progress]: [ 423 / 458 ] simplifiying candidate # 196.155 * * * * [progress]: [ 424 / 458 ] simplifiying candidate # 196.155 * [simplify]: Simplifying (* (sqrt 3) v) 196.155 * * [simplify]: iters left: 3 (4 enodes) 196.157 * * [simplify]: iters left: 2 (13 enodes) 196.160 * * [simplify]: Extracting #0: cost 1 inf + 0 196.160 * * [simplify]: Extracting #1: cost 4 inf + 0 196.160 * * [simplify]: Extracting #2: cost 5 inf + 1 196.160 * * [simplify]: Extracting #3: cost 4 inf + 2 196.160 * * [simplify]: Extracting #4: cost 0 inf + 248 196.160 * [simplify]: Simplified to (* v (sqrt 3)) 196.160 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v (sqrt 3)) (* (sqrt 3) v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 196.160 * [simplify]: Simplifying (* (sqrt 3) v) 196.160 * * [simplify]: iters left: 3 (4 enodes) 196.162 * * [simplify]: iters left: 2 (13 enodes) 196.164 * * [simplify]: Extracting #0: cost 1 inf + 0 196.164 * * [simplify]: Extracting #1: cost 4 inf + 0 196.164 * * [simplify]: Extracting #2: cost 5 inf + 1 196.164 * * [simplify]: Extracting #3: cost 4 inf + 2 196.164 * * [simplify]: Extracting #4: cost 0 inf + 248 196.164 * [simplify]: Simplified to (* v (sqrt 3)) 196.164 * [simplify]: Simplified (2 1 1 1 2 1 2 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (sqrt 3) v) (* v (sqrt 3)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 196.164 * * * * [progress]: [ 425 / 458 ] simplifiying candidate # 196.164 * * * * [progress]: [ 426 / 458 ] simplifiying candidate # 196.165 * [simplify]: Simplifying (* (cbrt 3) (cbrt 3)) 196.165 * * [simplify]: iters left: 3 (3 enodes) 196.166 * * [simplify]: iters left: 2 (9 enodes) 196.168 * * [simplify]: Extracting #0: cost 1 inf + 0 196.168 * * [simplify]: Extracting #1: cost 3 inf + 0 196.168 * * [simplify]: Extracting #2: cost 5 inf + 0 196.168 * * [simplify]: Extracting #3: cost 4 inf + 1 196.168 * * [simplify]: Extracting #4: cost 0 inf + 405 196.168 * [simplify]: Simplified to (* (cbrt 3) (cbrt 3)) 196.168 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 196.169 * * * * [progress]: [ 427 / 458 ] simplifiying candidate # 196.169 * [simplify]: Simplifying (sqrt 3) 196.169 * * [simplify]: iters left: 1 (2 enodes) 196.171 * * [simplify]: Extracting #0: cost 1 inf + 0 196.171 * * [simplify]: Extracting #1: cost 3 inf + 0 196.171 * * [simplify]: Extracting #2: cost 2 inf + 1 196.171 * * [simplify]: Extracting #3: cost 0 inf + 83 196.171 * [simplify]: Simplified to (sqrt 3) 196.171 * [simplify]: Simplified (2 1 1 1 2 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt 3) (* (sqrt 3) (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 196.171 * * * * [progress]: [ 428 / 458 ] simplifiying candidate # 196.171 * * * * [progress]: [ 429 / 458 ] simplifiying candidate #real (real->posit16 (* 3 (* v v))))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))> 196.172 * * * * [progress]: [ 430 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 431 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 432 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 433 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 434 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 435 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 436 / 458 ] simplifiying candidate # 196.172 * * * * [progress]: [ 437 / 458 ] simplifiying candidate # 196.172 * [simplify]: Simplifying (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) 196.172 * * [simplify]: iters left: 6 (9 enodes) 196.177 * * [simplify]: iters left: 5 (35 enodes) 196.187 * * [simplify]: iters left: 4 (55 enodes) 196.196 * * [simplify]: iters left: 3 (73 enodes) 196.208 * * [simplify]: Extracting #0: cost 1 inf + 0 196.208 * * [simplify]: Extracting #1: cost 4 inf + 0 196.208 * * [simplify]: Extracting #2: cost 7 inf + 0 196.208 * * [simplify]: Extracting #3: cost 11 inf + 0 196.208 * * [simplify]: Extracting #4: cost 20 inf + 1 196.208 * * [simplify]: Extracting #5: cost 19 inf + 128 196.208 * * [simplify]: Extracting #6: cost 9 inf + 867 196.209 * * [simplify]: Extracting #7: cost 1 inf + 2207 196.209 * * [simplify]: Extracting #8: cost 0 inf + 2450 196.210 * [simplify]: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) 196.210 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (* (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (cbrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))))) 196.210 * * * * [progress]: [ 438 / 458 ] simplifiying candidate # 196.210 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) 196.210 * * [simplify]: iters left: 6 (8 enodes) 196.214 * * [simplify]: iters left: 5 (31 enodes) 196.226 * * [simplify]: iters left: 4 (51 enodes) 196.237 * * [simplify]: iters left: 3 (69 enodes) 196.248 * * [simplify]: Extracting #0: cost 1 inf + 0 196.248 * * [simplify]: Extracting #1: cost 3 inf + 0 196.248 * * [simplify]: Extracting #2: cost 5 inf + 0 196.248 * * [simplify]: Extracting #3: cost 9 inf + 0 196.248 * * [simplify]: Extracting #4: cost 18 inf + 1 196.248 * * [simplify]: Extracting #5: cost 17 inf + 128 196.248 * * [simplify]: Extracting #6: cost 6 inf + 868 196.249 * * [simplify]: Extracting #7: cost 0 inf + 1804 196.249 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) 196.249 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))))) 196.249 * * * * [progress]: [ 439 / 458 ] simplifiying candidate # 196.249 * [simplify]: Simplifying (sqrt 1) 196.249 * * [simplify]: iters left: 1 (2 enodes) 196.251 * * [simplify]: Extracting #0: cost 1 inf + 0 196.251 * * [simplify]: Extracting #1: cost 0 inf + 1 196.251 * [simplify]: Simplified to 1 196.251 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (* 1 (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))) 196.252 * * * * [progress]: [ 440 / 458 ] simplifiying candidate # 196.252 * [simplify]: Simplifying (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))) 196.252 * * [simplify]: iters left: 6 (9 enodes) 196.256 * * [simplify]: iters left: 5 (46 enodes) 196.276 * * [simplify]: iters left: 4 (125 enodes) 196.340 * * [simplify]: iters left: 3 (400 enodes) 196.549 * * [simplify]: Extracting #0: cost 1 inf + 0 196.549 * * [simplify]: Extracting #1: cost 3 inf + 0 196.549 * * [simplify]: Extracting #2: cost 7 inf + 0 196.549 * * [simplify]: Extracting #3: cost 75 inf + 1 196.551 * * [simplify]: Extracting #4: cost 154 inf + 1794 196.559 * * [simplify]: Extracting #5: cost 73 inf + 13635 196.573 * * [simplify]: Extracting #6: cost 18 inf + 24926 196.587 * * [simplify]: Extracting #7: cost 5 inf + 31364 196.603 * * [simplify]: Extracting #8: cost 0 inf + 33782 196.622 * [simplify]: Simplified to (sqrt (- 1 (* (* (* v v) (* (* v v) 27)) (* v v)))) 196.622 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (/ (sqrt (- 1 (* (* (* v v) (* (* v v) 27)) (* v v)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v)))))) 196.622 * * * * [progress]: [ 441 / 458 ] simplifiying candidate # 196.623 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))) 196.623 * * [simplify]: iters left: 6 (9 enodes) 196.629 * * [simplify]: iters left: 5 (40 enodes) 196.645 * * [simplify]: iters left: 4 (93 enodes) 196.677 * * [simplify]: iters left: 3 (204 enodes) 196.750 * * [simplify]: iters left: 2 (341 enodes) 196.865 * * [simplify]: iters left: 1 (395 enodes) 197.002 * * [simplify]: Extracting #0: cost 1 inf + 0 197.003 * * [simplify]: Extracting #1: cost 3 inf + 0 197.003 * * [simplify]: Extracting #2: cost 7 inf + 0 197.003 * * [simplify]: Extracting #3: cost 55 inf + 1 197.004 * * [simplify]: Extracting #4: cost 96 inf + 2081 197.008 * * [simplify]: Extracting #5: cost 73 inf + 4450 197.013 * * [simplify]: Extracting #6: cost 43 inf + 11008 197.020 * * [simplify]: Extracting #7: cost 5 inf + 21669 197.027 * * [simplify]: Extracting #8: cost 0 inf + 23895 197.034 * [simplify]: Simplified to (sqrt (- 1 (* 9 (* (* v v) (* v v))))) 197.034 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (/ (sqrt (- 1 (* 9 (* (* v v) (* v v))))) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))))) 197.034 * * * * [progress]: [ 442 / 458 ] simplifiying candidate # 197.035 * [simplify]: Simplifying (- 1 (* 3 (* v v))) 197.035 * * [simplify]: iters left: 6 (6 enodes) 197.039 * * [simplify]: iters left: 5 (25 enodes) 197.049 * * [simplify]: iters left: 4 (45 enodes) 197.064 * * [simplify]: iters left: 3 (63 enodes) 197.082 * * [simplify]: Extracting #0: cost 1 inf + 0 197.083 * * [simplify]: Extracting #1: cost 5 inf + 0 197.083 * * [simplify]: Extracting #2: cost 14 inf + 1 197.083 * * [simplify]: Extracting #3: cost 13 inf + 128 197.083 * * [simplify]: Extracting #4: cost 2 inf + 868 197.084 * * [simplify]: Extracting #5: cost 0 inf + 1072 197.085 * [simplify]: Simplified to (+ 1 (* (* v v) -3)) 197.085 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (pow (+ 1 (* (* v v) -3)) (/ 1 2))) (- 1 (* v v)))))) 197.085 * * * * [progress]: [ 443 / 458 ] simplifiying candidate # 197.085 * * * * [progress]: [ 444 / 458 ] simplifiying candidate # 197.085 * [simplify]: Simplifying (sqrt (- 1 (* 3 (* v v)))) 197.085 * * [simplify]: iters left: 6 (7 enodes) 197.090 * * [simplify]: iters left: 5 (28 enodes) 197.100 * * [simplify]: iters left: 4 (48 enodes) 197.116 * * [simplify]: iters left: 3 (66 enodes) 197.136 * * [simplify]: Extracting #0: cost 1 inf + 0 197.136 * * [simplify]: Extracting #1: cost 3 inf + 0 197.136 * * [simplify]: Extracting #2: cost 7 inf + 0 197.136 * * [simplify]: Extracting #3: cost 16 inf + 1 197.136 * * [simplify]: Extracting #4: cost 13 inf + 331 197.137 * * [simplify]: Extracting #5: cost 4 inf + 907 197.137 * * [simplify]: Extracting #6: cost 0 inf + 1398 197.138 * [simplify]: Simplified to (sqrt (- 1 (* (* v v) 3))) 197.138 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (fabs (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))))) 197.138 * * * * [progress]: [ 445 / 458 ] simplifiying candidate # 197.138 * * * * [progress]: [ 446 / 458 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))))> 197.139 * * * * [progress]: [ 447 / 458 ] simplifiying candidate # 197.139 * [simplify]: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) 197.139 * * [simplify]: iters left: 6 (16 enodes) 197.153 * * [simplify]: iters left: 5 (70 enodes) 197.178 * * [simplify]: iters left: 4 (121 enodes) 197.223 * * [simplify]: iters left: 3 (226 enodes) 197.299 * * [simplify]: iters left: 2 (385 enodes) 197.386 * * [simplify]: Extracting #0: cost 1 inf + 0 197.386 * * [simplify]: Extracting #1: cost 29 inf + 0 197.386 * * [simplify]: Extracting #2: cost 103 inf + 0 197.386 * * [simplify]: Extracting #3: cost 134 inf + 460 197.388 * * [simplify]: Extracting #4: cost 60 inf + 10375 197.393 * * [simplify]: Extracting #5: cost 7 inf + 19572 197.398 * * [simplify]: Extracting #6: cost 0 inf + 20916 197.409 * [simplify]: Simplified to (* (+ 1/4 (* (* v v) (- (* 3/32 (* v v)) 5/8))) (sqrt 2)) 197.409 * [simplify]: Simplified (2) to (λ (v) (* (+ 1/4 (* (* v v) (- (* 3/32 (* v v)) 5/8))) (sqrt 2))) 197.409 * * * * [progress]: [ 448 / 458 ] simplifiying candidate # 197.409 * [simplify]: Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) 197.410 * * [simplify]: iters left: 6 (29 enodes) 197.428 * * [simplify]: iters left: 5 (138 enodes) 197.465 * * [simplify]: iters left: 4 (325 enodes) 197.570 * * [simplify]: Extracting #0: cost 1 inf + 0 197.570 * * [simplify]: Extracting #1: cost 38 inf + 0 197.571 * * [simplify]: Extracting #2: cost 178 inf + 0 197.573 * * [simplify]: Extracting #3: cost 262 inf + 256 197.578 * * [simplify]: Extracting #4: cost 185 inf + 10535 197.593 * * [simplify]: Extracting #5: cost 76 inf + 38460 197.622 * * [simplify]: Extracting #6: cost 9 inf + 67575 197.657 * * [simplify]: Extracting #7: cost 0 inf + 71151 197.681 * [simplify]: Simplified to (+ (- (* 1/8 (- (/ (sqrt 2) (* v (sqrt -3))) (/ (* (sqrt 2) v) (sqrt -3)))) (* 1/4 (* (sqrt -3) (* v (* (* v v) (sqrt 2)))))) (+ (/ (* (/ -1/96 (sqrt -3)) (sqrt 2)) v) (* (* 1/4 (sqrt 2)) (* v (sqrt -3))))) 197.681 * [simplify]: Simplified (2) to (λ (v) (+ (- (* 1/8 (- (/ (sqrt 2) (* v (sqrt -3))) (/ (* (sqrt 2) v) (sqrt -3)))) (* 1/4 (* (sqrt -3) (* v (* (* v v) (sqrt 2)))))) (+ (/ (* (/ -1/96 (sqrt -3)) (sqrt 2)) v) (* (* 1/4 (sqrt 2)) (* v (sqrt -3)))))) 197.681 * * * * [progress]: [ 449 / 458 ] simplifiying candidate # 197.682 * [simplify]: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) 197.682 * * [simplify]: iters left: 6 (29 enodes) 197.692 * * [simplify]: iters left: 5 (138 enodes) 197.730 * * [simplify]: iters left: 4 (327 enodes) 197.854 * * [simplify]: Extracting #0: cost 1 inf + 0 197.854 * * [simplify]: Extracting #1: cost 34 inf + 0 197.855 * * [simplify]: Extracting #2: cost 180 inf + 0 197.856 * * [simplify]: Extracting #3: cost 265 inf + 173 197.861 * * [simplify]: Extracting #4: cost 201 inf + 9022 197.872 * * [simplify]: Extracting #5: cost 65 inf + 45138 197.886 * * [simplify]: Extracting #6: cost 8 inf + 67684 197.908 * * [simplify]: Extracting #7: cost 0 inf + 70233 197.925 * [simplify]: Simplified to (- (- (+ (* (/ (sqrt 2) (/ (sqrt -3) v)) 1/8) (* (* (sqrt 2) 1/4) (* (* v (* v v)) (sqrt -3)))) (* (sqrt -3) (* v (* (sqrt 2) 1/4)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3))))) 197.925 * [simplify]: Simplified (2) to (λ (v) (- (- (+ (* (/ (sqrt 2) (/ (sqrt -3) v)) 1/8) (* (* (sqrt 2) 1/4) (* (* v (* v v)) (sqrt -3)))) (* (sqrt -3) (* v (* (sqrt 2) 1/4)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ -1/96 (sqrt -3)))))) 197.925 * * * * [progress]: [ 450 / 458 ] simplifiying candidate # 197.925 * [simplify]: Simplifying (* 3 (pow v 2)) 197.925 * * [simplify]: iters left: 3 (5 enodes) 197.928 * * [simplify]: iters left: 2 (21 enodes) 197.932 * * [simplify]: iters left: 1 (29 enodes) 197.936 * * [simplify]: Extracting #0: cost 1 inf + 0 197.936 * * [simplify]: Extracting #1: cost 6 inf + 0 197.937 * * [simplify]: Extracting #2: cost 6 inf + 43 197.937 * * [simplify]: Extracting #3: cost 0 inf + 333 197.937 * [simplify]: Simplified to (* (* v v) 3) 197.937 * [simplify]: Simplified (2 2 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))))) 197.937 * * * * [progress]: [ 451 / 458 ] simplifiying candidate # 197.937 * [simplify]: Simplifying (* 3 (pow v 2)) 197.937 * * [simplify]: iters left: 3 (5 enodes) 197.939 * * [simplify]: iters left: 2 (21 enodes) 197.943 * * [simplify]: iters left: 1 (29 enodes) 197.949 * * [simplify]: Extracting #0: cost 1 inf + 0 197.949 * * [simplify]: Extracting #1: cost 6 inf + 0 197.951 * * [simplify]: Extracting #2: cost 6 inf + 43 197.952 * * [simplify]: Extracting #3: cost 0 inf + 333 197.952 * [simplify]: Simplified to (* (* v v) 3) 197.952 * [simplify]: Simplified (2 2 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))))) 197.952 * * * * [progress]: [ 452 / 458 ] simplifiying candidate # 197.953 * [simplify]: Simplifying (* 3 (pow v 2)) 197.953 * * [simplify]: iters left: 3 (5 enodes) 197.957 * * [simplify]: iters left: 2 (21 enodes) 197.964 * * [simplify]: iters left: 1 (29 enodes) 197.971 * * [simplify]: Extracting #0: cost 1 inf + 0 197.971 * * [simplify]: Extracting #1: cost 6 inf + 0 197.971 * * [simplify]: Extracting #2: cost 6 inf + 43 197.971 * * [simplify]: Extracting #3: cost 0 inf + 333 197.971 * [simplify]: Simplified to (* (* v v) 3) 197.971 * [simplify]: Simplified (2 2 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))))) 197.971 * * * * [progress]: [ 453 / 458 ] simplifiying candidate # 197.971 * [simplify]: Simplifying (* 3 (pow v 2)) 197.971 * * [simplify]: iters left: 3 (5 enodes) 197.973 * * [simplify]: iters left: 2 (21 enodes) 197.977 * * [simplify]: iters left: 1 (29 enodes) 197.982 * * [simplify]: Extracting #0: cost 1 inf + 0 197.982 * * [simplify]: Extracting #1: cost 6 inf + 0 197.982 * * [simplify]: Extracting #2: cost 6 inf + 43 197.982 * * [simplify]: Extracting #3: cost 0 inf + 333 197.983 * [simplify]: Simplified to (* (* v v) 3) 197.983 * [simplify]: Simplified (2 1 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 197.983 * * * * [progress]: [ 454 / 458 ] simplifiying candidate # 197.983 * [simplify]: Simplifying (* 3 (pow v 2)) 197.983 * * [simplify]: iters left: 3 (5 enodes) 197.985 * * [simplify]: iters left: 2 (21 enodes) 197.989 * * [simplify]: iters left: 1 (29 enodes) 197.993 * * [simplify]: Extracting #0: cost 1 inf + 0 197.993 * * [simplify]: Extracting #1: cost 6 inf + 0 197.994 * * [simplify]: Extracting #2: cost 6 inf + 43 197.994 * * [simplify]: Extracting #3: cost 0 inf + 333 197.994 * [simplify]: Simplified to (* (* v v) 3) 197.994 * [simplify]: Simplified (2 1 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 197.994 * * * * [progress]: [ 455 / 458 ] simplifiying candidate # 197.994 * [simplify]: Simplifying (* 3 (pow v 2)) 197.994 * * [simplify]: iters left: 3 (5 enodes) 197.997 * * [simplify]: iters left: 2 (21 enodes) 198.004 * * [simplify]: iters left: 1 (29 enodes) 198.014 * * [simplify]: Extracting #0: cost 1 inf + 0 198.014 * * [simplify]: Extracting #1: cost 6 inf + 0 198.014 * * [simplify]: Extracting #2: cost 6 inf + 43 198.014 * * [simplify]: Extracting #3: cost 0 inf + 333 198.014 * [simplify]: Simplified to (* (* v v) 3) 198.014 * [simplify]: Simplified (2 1 1 1 2 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) 198.014 * * * * [progress]: [ 456 / 458 ] simplifiying candidate # 198.015 * [simplify]: Simplifying (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2)))) 198.015 * * [simplify]: iters left: 6 (12 enodes) 198.020 * * [simplify]: iters left: 5 (52 enodes) 198.029 * * [simplify]: iters left: 4 (73 enodes) 198.042 * * [simplify]: iters left: 3 (117 enodes) 198.081 * * [simplify]: iters left: 2 (156 enodes) 198.116 * * [simplify]: iters left: 1 (207 enodes) 198.161 * * [simplify]: Extracting #0: cost 1 inf + 0 198.161 * * [simplify]: Extracting #1: cost 18 inf + 0 198.161 * * [simplify]: Extracting #2: cost 39 inf + 2 198.162 * * [simplify]: Extracting #3: cost 43 inf + 213 198.163 * * [simplify]: Extracting #4: cost 14 inf + 3555 198.165 * * [simplify]: Extracting #5: cost 0 inf + 5789 198.168 * [simplify]: Simplified to (- (* (* (* v v) (* v v)) -9/8) (- (* 3/2 (* v v)) 1)) 198.168 * [simplify]: Simplified (2 2 1 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (- (* (* (* v v) (* v v)) -9/8) (- (* 3/2 (* v v)) 1))) (- 1 (* v v)))))) 198.168 * * * * [progress]: [ 457 / 458 ] simplifiying candidate # 198.168 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) 198.168 * * [simplify]: iters left: 6 (17 enodes) 198.175 * * [simplify]: iters left: 5 (83 enodes) 198.195 * * [simplify]: iters left: 4 (179 enodes) 198.262 * * [simplify]: iters left: 3 (426 enodes) 198.416 * * [simplify]: Extracting #0: cost 1 inf + 0 198.416 * * [simplify]: Extracting #1: cost 10 inf + 0 198.417 * * [simplify]: Extracting #2: cost 120 inf + 0 198.419 * * [simplify]: Extracting #3: cost 261 inf + 1073 198.424 * * [simplify]: Extracting #4: cost 248 inf + 10182 198.433 * * [simplify]: Extracting #5: cost 93 inf + 55399 198.448 * * [simplify]: Extracting #6: cost 13 inf + 92512 198.466 * * [simplify]: Extracting #7: cost 0 inf + 99051 198.488 * [simplify]: Simplified to (- (+ (* (sqrt -3) v) (/ (/ 1/2 (sqrt -3)) v)) (/ (/ (/ -1/24 (sqrt -3)) v) (* v v))) 198.489 * [simplify]: Simplified (2 2 1 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (- (+ (* (sqrt -3) v) (/ (/ 1/2 (sqrt -3)) v)) (/ (/ (/ -1/24 (sqrt -3)) v) (* v v)))) (- 1 (* v v)))))) 198.489 * * * * [progress]: [ 458 / 458 ] simplifiying candidate # 198.489 * [simplify]: Simplifying (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) 198.489 * * [simplify]: iters left: 6 (17 enodes) 198.496 * * [simplify]: iters left: 5 (83 enodes) 198.514 * * [simplify]: iters left: 4 (171 enodes) 198.584 * * [simplify]: iters left: 3 (416 enodes) 198.765 * * [simplify]: Extracting #0: cost 1 inf + 0 198.765 * * [simplify]: Extracting #1: cost 15 inf + 0 198.766 * * [simplify]: Extracting #2: cost 124 inf + 0 198.767 * * [simplify]: Extracting #3: cost 256 inf + 783 198.772 * * [simplify]: Extracting #4: cost 231 inf + 11396 198.792 * * [simplify]: Extracting #5: cost 87 inf + 55501 198.814 * * [simplify]: Extracting #6: cost 6 inf + 89983 198.837 * * [simplify]: Extracting #7: cost 0 inf + 92531 198.859 * [simplify]: Simplified to (- (/ -1/2 (* (sqrt -3) v)) (- (* (sqrt -3) v) (/ (/ -1/24 (sqrt -3)) (* v (* v v))))) 198.859 * [simplify]: Simplified (2 2 1 1 2) to (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (- (/ -1/2 (* (sqrt -3) v)) (- (* (sqrt -3) v) (/ (/ -1/24 (sqrt -3)) (* v (* v v)))))) (- 1 (* v v)))))) 198.861 * * * [progress]: adding candidates to table 208.088 * [progress]: [Phase 3 of 3] Extracting. 208.088 * * [regime]: Finding splitpoints for: (# #) 208.089 * * * [regime-changes]: Trying 3 branch expressions: (v (* v v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 208.089 * * * * [regimes]: Trying to branch on v from (# #) 208.123 * * * * [regimes]: Trying to branch on (* v v) from (# #) 208.157 * * * * [regimes]: Trying to branch on (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) from (# #) 208.180 * * * [regime]: Found split indices: #