0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.097 * * * [progress]: [2/2] Setting up program. 0.103 * [progress]: [Phase 2 of 3] Improving. 0.103 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.103 * [simplify]: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 0.103 * * [simplify]: iters left: 6 (16 enodes) 0.113 * * [simplify]: iters left: 5 (66 enodes) 0.136 * * [simplify]: iters left: 4 (138 enodes) 0.191 * * [simplify]: iters left: 3 (290 enodes) 0.312 * * [simplify]: Extracting #0: cost 1 inf + 0 0.312 * * [simplify]: Extracting #1: cost 10 inf + 0 0.312 * * [simplify]: Extracting #2: cost 57 inf + 1 0.313 * * [simplify]: Extracting #3: cost 140 inf + 89 0.315 * * [simplify]: Extracting #4: cost 142 inf + 1329 0.325 * * [simplify]: Extracting #5: cost 49 inf + 16301 0.339 * * [simplify]: Extracting #6: cost 4 inf + 26875 0.354 * * [simplify]: Extracting #7: cost 0 inf + 27971 0.369 * [simplify]: Simplified to (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v))))) 0.369 * [simplify]: Simplified (2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 0.382 * * [progress]: iteration 1 / 4 0.382 * * * [progress]: picking best candidate 0.392 * * * * [pick]: Picked # 0.392 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.428 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.480 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.490 * * * [progress]: generating series expansions 0.490 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.490 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* v v) PI))) into (/ 4/3 (- PI (* (pow v 2) PI))) 0.490 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 0.490 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 0.490 * [taylor]: Taking taylor expansion of 4/3 in v 0.490 * [backup-simplify]: Simplify 4/3 into 4/3 0.491 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.491 * [taylor]: Taking taylor expansion of PI in v 0.491 * [backup-simplify]: Simplify PI into PI 0.491 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.491 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.491 * [taylor]: Taking taylor expansion of v in v 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of PI in v 0.491 * [backup-simplify]: Simplify PI into PI 0.492 * [backup-simplify]: Simplify (+ PI 0) into PI 0.493 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.493 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 0.493 * [taylor]: Taking taylor expansion of 4/3 in v 0.493 * [backup-simplify]: Simplify 4/3 into 4/3 0.493 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.493 * [taylor]: Taking taylor expansion of PI in v 0.493 * [backup-simplify]: Simplify PI into PI 0.493 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.493 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.493 * [taylor]: Taking taylor expansion of v in v 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of PI in v 0.493 * [backup-simplify]: Simplify PI into PI 0.493 * [backup-simplify]: Simplify (+ PI 0) into PI 0.494 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.494 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 1 PI) into PI 0.497 * [backup-simplify]: Simplify (- PI) into (- PI) 0.498 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.504 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 0.505 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (* 4/3 (/ 1 PI)) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 0.523 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 0.524 * [backup-simplify]: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 0.525 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* (/ 1 v) (/ 1 v)) PI))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 0.525 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 0.525 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.525 * [taylor]: Taking taylor expansion of 4/3 in v 0.525 * [backup-simplify]: Simplify 4/3 into 4/3 0.525 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.525 * [taylor]: Taking taylor expansion of PI in v 0.525 * [backup-simplify]: Simplify PI into PI 0.525 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.525 * [taylor]: Taking taylor expansion of PI in v 0.525 * [backup-simplify]: Simplify PI into PI 0.525 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.525 * [taylor]: Taking taylor expansion of v in v 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ PI 1) into PI 0.526 * [backup-simplify]: Simplify (- PI) into (- PI) 0.527 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.528 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.528 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.528 * [taylor]: Taking taylor expansion of 4/3 in v 0.528 * [backup-simplify]: Simplify 4/3 into 4/3 0.528 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.528 * [taylor]: Taking taylor expansion of PI in v 0.528 * [backup-simplify]: Simplify PI into PI 0.528 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.528 * [taylor]: Taking taylor expansion of PI in v 0.528 * [backup-simplify]: Simplify PI into PI 0.528 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.528 * [taylor]: Taking taylor expansion of v in v 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ PI 1) into PI 0.530 * [backup-simplify]: Simplify (- PI) into (- PI) 0.530 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.531 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.532 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ PI 0) into PI 0.544 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.546 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.567 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.570 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 0.570 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* (/ 1 (- v)) (/ 1 (- v))) PI))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 0.570 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 0.570 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.570 * [taylor]: Taking taylor expansion of 4/3 in v 0.570 * [backup-simplify]: Simplify 4/3 into 4/3 0.570 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.570 * [taylor]: Taking taylor expansion of PI in v 0.570 * [backup-simplify]: Simplify PI into PI 0.570 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.570 * [taylor]: Taking taylor expansion of PI in v 0.570 * [backup-simplify]: Simplify PI into PI 0.570 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.570 * [taylor]: Taking taylor expansion of v in v 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ PI 1) into PI 0.571 * [backup-simplify]: Simplify (- PI) into (- PI) 0.572 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.572 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.572 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.572 * [taylor]: Taking taylor expansion of 4/3 in v 0.572 * [backup-simplify]: Simplify 4/3 into 4/3 0.572 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.572 * [taylor]: Taking taylor expansion of PI in v 0.572 * [backup-simplify]: Simplify PI into PI 0.572 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.572 * [taylor]: Taking taylor expansion of PI in v 0.572 * [backup-simplify]: Simplify PI into PI 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 0.573 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (/ PI 1) into PI 0.573 * [backup-simplify]: Simplify (- PI) into (- PI) 0.574 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.574 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.575 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify (+ PI 0) into PI 0.588 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.589 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.611 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.615 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 0.615 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.615 * [backup-simplify]: Simplify (* (* v v) PI) into (* (pow v 2) PI) 0.615 * [approximate]: Taking taylor expansion of (* (pow v 2) PI) in (v) around 0 0.615 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.615 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.615 * [taylor]: Taking taylor expansion of v in v 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of PI in v 0.615 * [backup-simplify]: Simplify PI into PI 0.615 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.615 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.616 * [taylor]: Taking taylor expansion of v in v 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of PI in v 0.616 * [backup-simplify]: Simplify PI into PI 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 1 PI) into PI 0.617 * [backup-simplify]: Simplify PI into PI 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (* PI (pow v 2)) into (* (pow v 2) PI) 0.631 * [backup-simplify]: Simplify (* (* (/ 1 v) (/ 1 v)) PI) into (/ PI (pow v 2)) 0.631 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 0.631 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.631 * [taylor]: Taking taylor expansion of PI in v 0.631 * [backup-simplify]: Simplify PI into PI 0.631 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.631 * [taylor]: Taking taylor expansion of v in v 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ PI 1) into PI 0.632 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.632 * [taylor]: Taking taylor expansion of PI in v 0.632 * [backup-simplify]: Simplify PI into PI 0.632 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.632 * [taylor]: Taking taylor expansion of v in v 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ PI 1) into PI 0.633 * [backup-simplify]: Simplify PI into PI 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 v)) 2)) into (* (pow v 2) PI) 0.647 * [backup-simplify]: Simplify (* (* (/ 1 (- v)) (/ 1 (- v))) PI) into (/ PI (pow v 2)) 0.647 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 0.647 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.647 * [taylor]: Taking taylor expansion of PI in v 0.647 * [backup-simplify]: Simplify PI into PI 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 0.648 * [backup-simplify]: Simplify (/ PI 1) into PI 0.648 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.648 * [taylor]: Taking taylor expansion of PI in v 0.648 * [backup-simplify]: Simplify PI into PI 0.648 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.648 * [taylor]: Taking taylor expansion of v in v 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (* 1 1) into 1 0.649 * [backup-simplify]: Simplify (/ PI 1) into PI 0.649 * [backup-simplify]: Simplify PI into PI 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 (- v))) 2)) into (* (pow v 2) PI) 0.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.663 * [backup-simplify]: Simplify (* -6 (* v v)) into (* -6 (pow v 2)) 0.663 * [approximate]: Taking taylor expansion of (* -6 (pow v 2)) in (v) around 0 0.663 * [taylor]: Taking taylor expansion of (* -6 (pow v 2)) in v 0.663 * [taylor]: Taking taylor expansion of -6 in v 0.663 * [backup-simplify]: Simplify -6 into -6 0.663 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.663 * [taylor]: Taking taylor expansion of v in v 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [taylor]: Taking taylor expansion of (* -6 (pow v 2)) in v 0.663 * [taylor]: Taking taylor expansion of -6 in v 0.663 * [backup-simplify]: Simplify -6 into -6 0.663 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.663 * [taylor]: Taking taylor expansion of v in v 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (* -6 1) into -6 0.664 * [backup-simplify]: Simplify -6 into -6 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.672 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.675 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.678 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (* -6 (pow v 2)) into (* -6 (pow v 2)) 0.679 * [backup-simplify]: Simplify (* -6 (* (/ 1 v) (/ 1 v))) into (/ -6 (pow v 2)) 0.679 * [approximate]: Taking taylor expansion of (/ -6 (pow v 2)) in (v) around 0 0.679 * [taylor]: Taking taylor expansion of (/ -6 (pow v 2)) in v 0.679 * [taylor]: Taking taylor expansion of -6 in v 0.679 * [backup-simplify]: Simplify -6 into -6 0.679 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.679 * [taylor]: Taking taylor expansion of v in v 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.680 * [backup-simplify]: Simplify (/ -6 1) into -6 0.680 * [taylor]: Taking taylor expansion of (/ -6 (pow v 2)) in v 0.680 * [taylor]: Taking taylor expansion of -6 in v 0.680 * [backup-simplify]: Simplify -6 into -6 0.680 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.680 * [taylor]: Taking taylor expansion of v in v 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ -6 1) into -6 0.681 * [backup-simplify]: Simplify -6 into -6 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (* -6 (pow (/ 1 (/ 1 v)) 2)) into (* -6 (pow v 2)) 0.695 * [backup-simplify]: Simplify (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ -6 (pow v 2)) 0.695 * [approximate]: Taking taylor expansion of (/ -6 (pow v 2)) in (v) around 0 0.695 * [taylor]: Taking taylor expansion of (/ -6 (pow v 2)) in v 0.695 * [taylor]: Taking taylor expansion of -6 in v 0.695 * [backup-simplify]: Simplify -6 into -6 0.695 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.695 * [taylor]: Taking taylor expansion of v in v 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ -6 1) into -6 0.696 * [taylor]: Taking taylor expansion of (/ -6 (pow v 2)) in v 0.696 * [taylor]: Taking taylor expansion of -6 in v 0.696 * [backup-simplify]: Simplify -6 into -6 0.696 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.696 * [taylor]: Taking taylor expansion of v in v 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ -6 1) into -6 0.697 * [backup-simplify]: Simplify -6 into -6 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (* -6 (pow (/ 1 (/ 1 (- v))) 2)) into (* -6 (pow v 2)) 0.713 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.713 * [backup-simplify]: Simplify (- PI (* (* v v) PI)) into (- PI (* (pow v 2) PI)) 0.713 * [approximate]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in (v) around 0 0.713 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.713 * [taylor]: Taking taylor expansion of PI in v 0.713 * [backup-simplify]: Simplify PI into PI 0.713 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.713 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.713 * [taylor]: Taking taylor expansion of v in v 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of PI in v 0.713 * [backup-simplify]: Simplify PI into PI 0.713 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.713 * [taylor]: Taking taylor expansion of PI in v 0.713 * [backup-simplify]: Simplify PI into PI 0.713 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.713 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.713 * [taylor]: Taking taylor expansion of v in v 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of PI in v 0.713 * [backup-simplify]: Simplify PI into PI 0.714 * [backup-simplify]: Simplify (+ PI 0) into PI 0.714 * [backup-simplify]: Simplify PI into PI 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (* 1 1) into 1 0.715 * [backup-simplify]: Simplify (* 1 PI) into PI 0.716 * [backup-simplify]: Simplify (- PI) into (- PI) 0.717 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.717 * [backup-simplify]: Simplify (- PI) into (- PI) 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.727 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ (* (- PI) (pow v 2)) PI) into (- PI (* (pow v 2) PI)) 0.735 * [backup-simplify]: Simplify (- PI (* (* (/ 1 v) (/ 1 v)) PI)) into (- PI (/ PI (pow v 2))) 0.735 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 0.735 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.735 * [taylor]: Taking taylor expansion of PI in v 0.735 * [backup-simplify]: Simplify PI into PI 0.735 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.735 * [taylor]: Taking taylor expansion of PI in v 0.735 * [backup-simplify]: Simplify PI into PI 0.735 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.736 * [taylor]: Taking taylor expansion of v in v 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ PI 1) into PI 0.736 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.736 * [taylor]: Taking taylor expansion of PI in v 0.736 * [backup-simplify]: Simplify PI into PI 0.736 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.736 * [taylor]: Taking taylor expansion of PI in v 0.736 * [backup-simplify]: Simplify PI into PI 0.736 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.736 * [taylor]: Taking taylor expansion of v in v 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ PI 1) into PI 0.737 * [backup-simplify]: Simplify (- PI) into (- PI) 0.738 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.738 * [backup-simplify]: Simplify (- PI) into (- PI) 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ PI 0) into PI 0.741 * [backup-simplify]: Simplify PI into PI 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 v)) 2))) into (- PI (* (pow v 2) PI)) 0.753 * [backup-simplify]: Simplify (- PI (* (* (/ 1 (- v)) (/ 1 (- v))) PI)) into (- PI (/ PI (pow v 2))) 0.753 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 0.753 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.753 * [taylor]: Taking taylor expansion of PI in v 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.753 * [taylor]: Taking taylor expansion of PI in v 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.753 * [taylor]: Taking taylor expansion of v in v 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ PI 1) into PI 0.754 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.754 * [taylor]: Taking taylor expansion of PI in v 0.754 * [backup-simplify]: Simplify PI into PI 0.754 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.754 * [taylor]: Taking taylor expansion of PI in v 0.754 * [backup-simplify]: Simplify PI into PI 0.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.754 * [taylor]: Taking taylor expansion of v in v 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.755 * [backup-simplify]: Simplify (/ PI 1) into PI 0.755 * [backup-simplify]: Simplify (- PI) into (- PI) 0.756 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.756 * [backup-simplify]: Simplify (- PI) into (- PI) 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify (+ PI 0) into PI 0.759 * [backup-simplify]: Simplify PI into PI 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 (- v))) 2))) into (- PI (* (pow v 2) PI)) 0.771 * * * [progress]: simplifying candidates 0.771 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 0.771 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 0.771 * [simplify]: Simplifying (- (log 4/3) (log (- PI (* (* v v) PI)))) 0.771 * * [simplify]: iters left: 6 (9 enodes) 0.774 * * [simplify]: iters left: 5 (34 enodes) 0.784 * * [simplify]: iters left: 4 (54 enodes) 0.801 * * [simplify]: iters left: 3 (76 enodes) 0.826 * * [simplify]: iters left: 2 (87 enodes) 0.850 * * [simplify]: iters left: 1 (106 enodes) 0.873 * * [simplify]: Extracting #0: cost 1 inf + 0 0.873 * * [simplify]: Extracting #1: cost 10 inf + 0 0.873 * * [simplify]: Extracting #2: cost 21 inf + 0 0.873 * * [simplify]: Extracting #3: cost 23 inf + 73 0.874 * * [simplify]: Extracting #4: cost 30 inf + 437 0.874 * * [simplify]: Extracting #5: cost 28 inf + 938 0.874 * * [simplify]: Extracting #6: cost 8 inf + 3304 0.875 * * [simplify]: Extracting #7: cost 0 inf + 4872 0.876 * [simplify]: Simplified to (- (log 4/3) (log (- PI (* v (* PI v))))) 0.876 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (exp (- (log 4/3) (log (- PI (* v (* PI v)))))) (sqrt (+ 2 (* -6 (* v v)))))) 0.876 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 0.876 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 0.876 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 0.877 * [simplify]: Simplifying (/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* (* v v) PI)) (- PI (* (* v v) PI))) (- PI (* (* v v) PI)))) 0.877 * * [simplify]: iters left: 6 (11 enodes) 0.881 * * [simplify]: iters left: 5 (48 enodes) 0.892 * * [simplify]: iters left: 4 (120 enodes) 0.946 * * [simplify]: iters left: 3 (352 enodes) 1.165 * * [simplify]: Extracting #0: cost 1 inf + 0 1.165 * * [simplify]: Extracting #1: cost 40 inf + 0 1.165 * * [simplify]: Extracting #2: cost 119 inf + 46 1.166 * * [simplify]: Extracting #3: cost 272 inf + 385 1.173 * * [simplify]: Extracting #4: cost 216 inf + 16053 1.197 * * [simplify]: Extracting #5: cost 34 inf + 57301 1.228 * * [simplify]: Extracting #6: cost 0 inf + 64811 1.259 * [simplify]: Simplified to (/ 64/27 (* (- PI (* PI (* v v))) (* (- PI (* PI (* v v))) (- PI (* PI (* v v)))))) 1.260 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (cbrt (/ 64/27 (* (- PI (* PI (* v v))) (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.260 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 1.260 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 1.260 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 1.260 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 1.260 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 1.261 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) 1.261 * * [simplify]: iters left: 6 (11 enodes) 1.267 * * [simplify]: iters left: 5 (44 enodes) 1.282 * * [simplify]: iters left: 4 (76 enodes) 1.310 * * [simplify]: iters left: 3 (105 enodes) 1.340 * * [simplify]: iters left: 2 (116 enodes) 1.371 * * [simplify]: iters left: 1 (125 enodes) 1.402 * * [simplify]: Extracting #0: cost 1 inf + 0 1.402 * * [simplify]: Extracting #1: cost 11 inf + 0 1.402 * * [simplify]: Extracting #2: cost 22 inf + 0 1.402 * * [simplify]: Extracting #3: cost 26 inf + 1 1.403 * * [simplify]: Extracting #4: cost 35 inf + 83 1.403 * * [simplify]: Extracting #5: cost 33 inf + 532 1.404 * * [simplify]: Extracting #6: cost 15 inf + 2322 1.406 * * [simplify]: Extracting #7: cost 4 inf + 5672 1.408 * * [simplify]: Extracting #8: cost 0 inf + 6964 1.410 * [simplify]: Simplified to (* (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v))))) (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v)))))) 1.411 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v))))) (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.411 * [simplify]: Simplifying (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.411 * * [simplify]: iters left: 6 (9 enodes) 1.417 * * [simplify]: iters left: 5 (32 enodes) 1.428 * * [simplify]: iters left: 4 (49 enodes) 1.443 * * [simplify]: iters left: 3 (71 enodes) 1.454 * * [simplify]: iters left: 2 (79 enodes) 1.465 * * [simplify]: iters left: 1 (88 enodes) 1.476 * * [simplify]: Extracting #0: cost 1 inf + 0 1.476 * * [simplify]: Extracting #1: cost 4 inf + 0 1.476 * * [simplify]: Extracting #2: cost 8 inf + 0 1.476 * * [simplify]: Extracting #3: cost 12 inf + 1 1.476 * * [simplify]: Extracting #4: cost 20 inf + 164 1.476 * * [simplify]: Extracting #5: cost 18 inf + 495 1.477 * * [simplify]: Extracting #6: cost 3 inf + 2162 1.477 * * [simplify]: Extracting #7: cost 0 inf + 2688 1.478 * [simplify]: Simplified to (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.478 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.478 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 1.478 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* (* v v) PI)))) 1.478 * * [simplify]: iters left: 6 (10 enodes) 1.481 * * [simplify]: iters left: 5 (37 enodes) 1.487 * * [simplify]: iters left: 4 (58 enodes) 1.497 * * [simplify]: iters left: 3 (83 enodes) 1.509 * * [simplify]: iters left: 2 (91 enodes) 1.529 * * [simplify]: iters left: 1 (100 enodes) 1.555 * * [simplify]: Extracting #0: cost 1 inf + 0 1.555 * * [simplify]: Extracting #1: cost 7 inf + 0 1.556 * * [simplify]: Extracting #2: cost 14 inf + 0 1.556 * * [simplify]: Extracting #3: cost 18 inf + 1 1.556 * * [simplify]: Extracting #4: cost 27 inf + 83 1.556 * * [simplify]: Extracting #5: cost 25 inf + 531 1.557 * * [simplify]: Extracting #6: cost 7 inf + 2685 1.558 * * [simplify]: Extracting #7: cost 0 inf + 3982 1.560 * [simplify]: Simplified to (/ (cbrt 4/3) (/ (sqrt (- PI (* PI (* v v)))) (cbrt 4/3))) 1.560 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt 4/3) (/ (sqrt (- PI (* PI (* v v)))) (cbrt 4/3))) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.561 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.561 * * [simplify]: iters left: 6 (9 enodes) 1.565 * * [simplify]: iters left: 5 (32 enodes) 1.571 * * [simplify]: iters left: 4 (49 enodes) 1.579 * * [simplify]: iters left: 3 (71 enodes) 1.589 * * [simplify]: iters left: 2 (79 enodes) 1.603 * * [simplify]: iters left: 1 (88 enodes) 1.619 * * [simplify]: Extracting #0: cost 1 inf + 0 1.619 * * [simplify]: Extracting #1: cost 4 inf + 0 1.619 * * [simplify]: Extracting #2: cost 8 inf + 0 1.619 * * [simplify]: Extracting #3: cost 12 inf + 1 1.619 * * [simplify]: Extracting #4: cost 20 inf + 164 1.619 * * [simplify]: Extracting #5: cost 18 inf + 495 1.620 * * [simplify]: Extracting #6: cost 3 inf + 2042 1.620 * * [simplify]: Extracting #7: cost 0 inf + 2528 1.621 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.621 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* (* v v) PI)))) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.621 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 1.621 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) 1) 1.621 * * [simplify]: iters left: 5 (5 enodes) 1.624 * * [simplify]: iters left: 4 (17 enodes) 1.629 * * [simplify]: iters left: 3 (27 enodes) 1.633 * * [simplify]: iters left: 2 (28 enodes) 1.637 * * [simplify]: Extracting #0: cost 1 inf + 0 1.637 * * [simplify]: Extracting #1: cost 5 inf + 0 1.637 * * [simplify]: Extracting #2: cost 7 inf + 1 1.637 * * [simplify]: Extracting #3: cost 6 inf + 2 1.637 * * [simplify]: Extracting #4: cost 1 inf + 528 1.637 * * [simplify]: Extracting #5: cost 0 inf + 650 1.637 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 1.637 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* (* v v) PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 1.637 * [simplify]: Simplifying (/ (cbrt 4/3) (- PI (* (* v v) PI))) 1.638 * * [simplify]: iters left: 6 (8 enodes) 1.640 * * [simplify]: iters left: 5 (29 enodes) 1.644 * * [simplify]: iters left: 4 (46 enodes) 1.653 * * [simplify]: iters left: 3 (68 enodes) 1.673 * * [simplify]: iters left: 2 (78 enodes) 1.694 * * [simplify]: iters left: 1 (89 enodes) 1.717 * * [simplify]: Extracting #0: cost 1 inf + 0 1.717 * * [simplify]: Extracting #1: cost 6 inf + 0 1.717 * * [simplify]: Extracting #2: cost 12 inf + 1 1.718 * * [simplify]: Extracting #3: cost 22 inf + 2 1.718 * * [simplify]: Extracting #4: cost 19 inf + 414 1.719 * * [simplify]: Extracting #5: cost 2 inf + 2124 1.720 * * [simplify]: Extracting #6: cost 0 inf + 2530 1.721 * [simplify]: Simplified to (/ (cbrt 4/3) (- PI (* (* PI v) v))) 1.721 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* (* PI v) v)))) (sqrt (+ 2 (* -6 (* v v)))))) 1.721 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 1.721 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) PI) 1.721 * * [simplify]: iters left: 5 (5 enodes) 1.725 * * [simplify]: iters left: 4 (17 enodes) 1.731 * * [simplify]: iters left: 3 (21 enodes) 1.737 * * [simplify]: iters left: 2 (24 enodes) 1.745 * * [simplify]: Extracting #0: cost 1 inf + 0 1.745 * * [simplify]: Extracting #1: cost 7 inf + 0 1.745 * * [simplify]: Extracting #2: cost 11 inf + 1 1.745 * * [simplify]: Extracting #3: cost 10 inf + 2 1.746 * * [simplify]: Extracting #4: cost 0 inf + 1218 1.746 * [simplify]: Simplified to (/ (* (cbrt 4/3) (cbrt 4/3)) PI) 1.746 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 1.746 * [simplify]: Simplifying (/ (cbrt 4/3) (- 1 (* v v))) 1.747 * * [simplify]: iters left: 6 (7 enodes) 1.751 * * [simplify]: iters left: 5 (25 enodes) 1.762 * * [simplify]: iters left: 4 (33 enodes) 1.772 * * [simplify]: iters left: 3 (35 enodes) 1.783 * * [simplify]: Extracting #0: cost 1 inf + 0 1.783 * * [simplify]: Extracting #1: cost 4 inf + 0 1.783 * * [simplify]: Extracting #2: cost 10 inf + 0 1.783 * * [simplify]: Extracting #3: cost 12 inf + 2 1.783 * * [simplify]: Extracting #4: cost 10 inf + 165 1.783 * * [simplify]: Extracting #5: cost 4 inf + 532 1.784 * * [simplify]: Extracting #6: cost 1 inf + 858 1.784 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.784 * [simplify]: Simplified to (/ (cbrt 4/3) (- 1 (* v v))) 1.785 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 1.785 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 1.785 * [simplify]: Simplifying (/ (sqrt 4/3) (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) 1.785 * * [simplify]: iters left: 6 (10 enodes) 1.791 * * [simplify]: iters left: 5 (37 enodes) 1.798 * * [simplify]: iters left: 4 (56 enodes) 1.807 * * [simplify]: iters left: 3 (78 enodes) 1.818 * * [simplify]: iters left: 2 (86 enodes) 1.841 * * [simplify]: iters left: 1 (95 enodes) 1.866 * * [simplify]: Extracting #0: cost 1 inf + 0 1.866 * * [simplify]: Extracting #1: cost 6 inf + 0 1.866 * * [simplify]: Extracting #2: cost 12 inf + 0 1.866 * * [simplify]: Extracting #3: cost 16 inf + 1 1.866 * * [simplify]: Extracting #4: cost 25 inf + 43 1.867 * * [simplify]: Extracting #5: cost 22 inf + 495 1.868 * * [simplify]: Extracting #6: cost 3 inf + 3091 1.869 * * [simplify]: Extracting #7: cost 0 inf + 3658 1.871 * [simplify]: Simplified to (/ (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) (cbrt (- PI (* (* v v) PI)))) 1.871 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) (cbrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.871 * [simplify]: Simplifying (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.871 * * [simplify]: iters left: 6 (9 enodes) 1.876 * * [simplify]: iters left: 5 (32 enodes) 1.889 * * [simplify]: iters left: 4 (49 enodes) 1.903 * * [simplify]: iters left: 3 (71 enodes) 1.913 * * [simplify]: iters left: 2 (79 enodes) 1.924 * * [simplify]: iters left: 1 (88 enodes) 1.937 * * [simplify]: Extracting #0: cost 1 inf + 0 1.937 * * [simplify]: Extracting #1: cost 4 inf + 0 1.937 * * [simplify]: Extracting #2: cost 8 inf + 0 1.937 * * [simplify]: Extracting #3: cost 12 inf + 1 1.937 * * [simplify]: Extracting #4: cost 20 inf + 84 1.937 * * [simplify]: Extracting #5: cost 18 inf + 415 1.937 * * [simplify]: Extracting #6: cost 3 inf + 2042 1.938 * * [simplify]: Extracting #7: cost 0 inf + 2528 1.938 * [simplify]: Simplified to (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.939 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) (cbrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 1.939 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 1.939 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.939 * * [simplify]: iters left: 6 (9 enodes) 1.942 * * [simplify]: iters left: 5 (32 enodes) 1.947 * * [simplify]: iters left: 4 (49 enodes) 1.959 * * [simplify]: iters left: 3 (71 enodes) 1.980 * * [simplify]: iters left: 2 (79 enodes) 2.003 * * [simplify]: iters left: 1 (88 enodes) 2.028 * * [simplify]: Extracting #0: cost 1 inf + 0 2.028 * * [simplify]: Extracting #1: cost 4 inf + 0 2.028 * * [simplify]: Extracting #2: cost 8 inf + 0 2.028 * * [simplify]: Extracting #3: cost 12 inf + 1 2.028 * * [simplify]: Extracting #4: cost 20 inf + 84 2.029 * * [simplify]: Extracting #5: cost 18 inf + 415 2.029 * * [simplify]: Extracting #6: cost 3 inf + 1922 2.030 * * [simplify]: Extracting #7: cost 0 inf + 2368 2.031 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 2.032 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.032 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 2.032 * * [simplify]: iters left: 6 (9 enodes) 2.037 * * [simplify]: iters left: 5 (32 enodes) 2.047 * * [simplify]: iters left: 4 (49 enodes) 2.063 * * [simplify]: iters left: 3 (71 enodes) 2.082 * * [simplify]: iters left: 2 (79 enodes) 2.094 * * [simplify]: iters left: 1 (88 enodes) 2.106 * * [simplify]: Extracting #0: cost 1 inf + 0 2.106 * * [simplify]: Extracting #1: cost 4 inf + 0 2.106 * * [simplify]: Extracting #2: cost 8 inf + 0 2.106 * * [simplify]: Extracting #3: cost 12 inf + 1 2.106 * * [simplify]: Extracting #4: cost 20 inf + 84 2.106 * * [simplify]: Extracting #5: cost 18 inf + 415 2.107 * * [simplify]: Extracting #6: cost 3 inf + 1922 2.107 * * [simplify]: Extracting #7: cost 0 inf + 2368 2.108 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 2.108 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.108 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 2.108 * [simplify]: Simplifying (/ (sqrt 4/3) 1) 2.108 * * [simplify]: iters left: 3 (4 enodes) 2.110 * * [simplify]: iters left: 2 (12 enodes) 2.116 * * [simplify]: iters left: 1 (14 enodes) 2.122 * * [simplify]: Extracting #0: cost 1 inf + 0 2.122 * * [simplify]: Extracting #1: cost 4 inf + 0 2.122 * * [simplify]: Extracting #2: cost 0 inf + 84 2.122 * [simplify]: Simplified to (sqrt 4/3) 2.122 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* (* v v) PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.123 * [simplify]: Simplifying (/ (sqrt 4/3) (- PI (* (* v v) PI))) 2.123 * * [simplify]: iters left: 6 (8 enodes) 2.127 * * [simplify]: iters left: 5 (29 enodes) 2.137 * * [simplify]: iters left: 4 (46 enodes) 2.153 * * [simplify]: iters left: 3 (68 enodes) 2.173 * * [simplify]: iters left: 2 (78 enodes) 2.195 * * [simplify]: iters left: 1 (89 enodes) 2.219 * * [simplify]: Extracting #0: cost 1 inf + 0 2.220 * * [simplify]: Extracting #1: cost 6 inf + 0 2.220 * * [simplify]: Extracting #2: cost 12 inf + 1 2.220 * * [simplify]: Extracting #3: cost 22 inf + 2 2.220 * * [simplify]: Extracting #4: cost 19 inf + 374 2.221 * * [simplify]: Extracting #5: cost 2 inf + 1964 2.222 * * [simplify]: Extracting #6: cost 0 inf + 2290 2.223 * [simplify]: Simplified to (/ (sqrt 4/3) (- PI (* (* PI v) v))) 2.223 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* (* PI v) v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.223 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 2.223 * [simplify]: Simplifying (/ (sqrt 4/3) PI) 2.224 * * [simplify]: iters left: 3 (4 enodes) 2.226 * * [simplify]: iters left: 2 (12 enodes) 2.230 * * [simplify]: Extracting #0: cost 1 inf + 0 2.230 * * [simplify]: Extracting #1: cost 4 inf + 0 2.230 * * [simplify]: Extracting #2: cost 5 inf + 1 2.231 * * [simplify]: Extracting #3: cost 4 inf + 2 2.231 * * [simplify]: Extracting #4: cost 0 inf + 248 2.231 * [simplify]: Simplified to (/ (sqrt 4/3) PI) 2.231 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 4/3) PI) (/ (sqrt 4/3) (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.231 * [simplify]: Simplifying (/ (sqrt 4/3) (- 1 (* v v))) 2.231 * * [simplify]: iters left: 6 (7 enodes) 2.236 * * [simplify]: iters left: 5 (25 enodes) 2.244 * * [simplify]: iters left: 4 (33 enodes) 2.249 * * [simplify]: iters left: 3 (35 enodes) 2.254 * * [simplify]: Extracting #0: cost 1 inf + 0 2.254 * * [simplify]: Extracting #1: cost 4 inf + 0 2.254 * * [simplify]: Extracting #2: cost 10 inf + 0 2.254 * * [simplify]: Extracting #3: cost 12 inf + 2 2.254 * * [simplify]: Extracting #4: cost 10 inf + 85 2.254 * * [simplify]: Extracting #5: cost 4 inf + 452 2.254 * * [simplify]: Extracting #6: cost 1 inf + 738 2.256 * * [simplify]: Extracting #7: cost 0 inf + 901 2.256 * [simplify]: Simplified to (/ (sqrt 4/3) (- 1 (* v v))) 2.256 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 4/3) PI) (/ (sqrt 4/3) (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.257 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 2.257 * [simplify]: Simplifying (/ 1 (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) 2.257 * * [simplify]: iters left: 6 (9 enodes) 2.259 * * [simplify]: iters left: 5 (36 enodes) 2.267 * * [simplify]: iters left: 4 (57 enodes) 2.284 * * [simplify]: iters left: 3 (78 enodes) 2.307 * * [simplify]: iters left: 2 (82 enodes) 2.328 * * [simplify]: iters left: 1 (89 enodes) 2.350 * * [simplify]: Extracting #0: cost 1 inf + 0 2.350 * * [simplify]: Extracting #1: cost 6 inf + 0 2.351 * * [simplify]: Extracting #2: cost 9 inf + 1 2.351 * * [simplify]: Extracting #3: cost 14 inf + 1 2.351 * * [simplify]: Extracting #4: cost 23 inf + 2 2.351 * * [simplify]: Extracting #5: cost 18 inf + 779 2.352 * * [simplify]: Extracting #6: cost 2 inf + 2889 2.353 * * [simplify]: Extracting #7: cost 0 inf + 3415 2.355 * [simplify]: Simplified to (/ 1 (* (cbrt (- PI (* (* v PI) v))) (cbrt (- PI (* (* v PI) v))))) 2.355 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (* (cbrt (- PI (* (* v PI) v))) (cbrt (- PI (* (* v PI) v))))) (/ 4/3 (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.355 * [simplify]: Simplifying (/ 4/3 (cbrt (- PI (* (* v v) PI)))) 2.355 * * [simplify]: iters left: 6 (8 enodes) 2.360 * * [simplify]: iters left: 5 (29 enodes) 2.369 * * [simplify]: iters left: 4 (46 enodes) 2.384 * * [simplify]: iters left: 3 (68 enodes) 2.406 * * [simplify]: iters left: 2 (76 enodes) 2.421 * * [simplify]: iters left: 1 (85 enodes) 2.432 * * [simplify]: Extracting #0: cost 1 inf + 0 2.432 * * [simplify]: Extracting #1: cost 4 inf + 0 2.432 * * [simplify]: Extracting #2: cost 5 inf + 1 2.432 * * [simplify]: Extracting #3: cost 10 inf + 1 2.432 * * [simplify]: Extracting #4: cost 20 inf + 2 2.432 * * [simplify]: Extracting #5: cost 17 inf + 454 2.433 * * [simplify]: Extracting #6: cost 7 inf + 1190 2.433 * * [simplify]: Extracting #7: cost 0 inf + 2366 2.434 * [simplify]: Simplified to (/ 4/3 (cbrt (- PI (* (* v v) PI)))) 2.434 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) (/ 4/3 (cbrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.434 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 2.434 * [simplify]: Simplifying (/ 1 (sqrt (- PI (* (* v v) PI)))) 2.434 * * [simplify]: iters left: 6 (8 enodes) 2.436 * * [simplify]: iters left: 5 (31 enodes) 2.441 * * [simplify]: iters left: 4 (50 enodes) 2.450 * * [simplify]: iters left: 3 (71 enodes) 2.470 * * [simplify]: iters left: 2 (75 enodes) 2.489 * * [simplify]: iters left: 1 (82 enodes) 2.501 * * [simplify]: Extracting #0: cost 1 inf + 0 2.501 * * [simplify]: Extracting #1: cost 4 inf + 0 2.501 * * [simplify]: Extracting #2: cost 5 inf + 1 2.501 * * [simplify]: Extracting #3: cost 10 inf + 1 2.501 * * [simplify]: Extracting #4: cost 19 inf + 2 2.501 * * [simplify]: Extracting #5: cost 19 inf + 250 2.501 * * [simplify]: Extracting #6: cost 6 inf + 1271 2.502 * * [simplify]: Extracting #7: cost 0 inf + 2205 2.502 * [simplify]: Simplified to (/ 1 (sqrt (- PI (* (* v v) PI)))) 2.502 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* (* v v) PI)))) (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.502 * [simplify]: Simplifying (/ 4/3 (sqrt (- PI (* (* v v) PI)))) 2.503 * * [simplify]: iters left: 6 (8 enodes) 2.506 * * [simplify]: iters left: 5 (29 enodes) 2.510 * * [simplify]: iters left: 4 (46 enodes) 2.518 * * [simplify]: iters left: 3 (68 enodes) 2.538 * * [simplify]: iters left: 2 (76 enodes) 2.557 * * [simplify]: iters left: 1 (85 enodes) 2.579 * * [simplify]: Extracting #0: cost 1 inf + 0 2.579 * * [simplify]: Extracting #1: cost 4 inf + 0 2.579 * * [simplify]: Extracting #2: cost 5 inf + 1 2.579 * * [simplify]: Extracting #3: cost 10 inf + 1 2.579 * * [simplify]: Extracting #4: cost 20 inf + 2 2.579 * * [simplify]: Extracting #5: cost 17 inf + 454 2.580 * * [simplify]: Extracting #6: cost 7 inf + 1190 2.581 * * [simplify]: Extracting #7: cost 0 inf + 2206 2.582 * [simplify]: Simplified to (/ 4/3 (sqrt (- PI (* (* v v) PI)))) 2.582 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* (* v v) PI)))) (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.582 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 2.583 * [simplify]: Simplifying (/ 1 1) 2.583 * * [simplify]: iters left: 2 (2 enodes) 2.584 * * [simplify]: iters left: 1 (6 enodes) 2.586 * * [simplify]: Extracting #0: cost 1 inf + 0 2.586 * * [simplify]: Extracting #1: cost 0 inf + 1 2.586 * [simplify]: Simplified to 1 2.586 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.587 * [simplify]: Simplifying (/ 4/3 (- PI (* (* v v) PI))) 2.587 * * [simplify]: iters left: 6 (7 enodes) 2.591 * * [simplify]: iters left: 5 (26 enodes) 2.599 * * [simplify]: iters left: 4 (43 enodes) 2.613 * * [simplify]: iters left: 3 (65 enodes) 2.632 * * [simplify]: iters left: 2 (75 enodes) 2.654 * * [simplify]: iters left: 1 (86 enodes) 2.675 * * [simplify]: Extracting #0: cost 1 inf + 0 2.675 * * [simplify]: Extracting #1: cost 6 inf + 0 2.675 * * [simplify]: Extracting #2: cost 9 inf + 2 2.676 * * [simplify]: Extracting #3: cost 20 inf + 2 2.676 * * [simplify]: Extracting #4: cost 17 inf + 534 2.677 * * [simplify]: Extracting #5: cost 2 inf + 2004 2.678 * * [simplify]: Extracting #6: cost 0 inf + 2048 2.679 * [simplify]: Simplified to (/ 4/3 (- PI (* (* v v) PI))) 2.679 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.679 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 2.679 * [simplify]: Simplifying (/ 1 PI) 2.679 * * [simplify]: iters left: 2 (3 enodes) 2.681 * * [simplify]: iters left: 1 (11 enodes) 2.685 * * [simplify]: Extracting #0: cost 1 inf + 0 2.685 * * [simplify]: Extracting #1: cost 4 inf + 0 2.685 * * [simplify]: Extracting #2: cost 2 inf + 2 2.685 * * [simplify]: Extracting #3: cost 0 inf + 86 2.685 * [simplify]: Simplified to (/ 1 PI) 2.685 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.686 * [simplify]: Simplifying (/ 4/3 (- 1 (* v v))) 2.686 * * [simplify]: iters left: 6 (6 enodes) 2.688 * * [simplify]: iters left: 5 (22 enodes) 2.692 * * [simplify]: iters left: 4 (30 enodes) 2.696 * * [simplify]: iters left: 3 (32 enodes) 2.701 * * [simplify]: Extracting #0: cost 1 inf + 0 2.701 * * [simplify]: Extracting #1: cost 4 inf + 0 2.701 * * [simplify]: Extracting #2: cost 7 inf + 1 2.701 * * [simplify]: Extracting #3: cost 10 inf + 2 2.701 * * [simplify]: Extracting #4: cost 9 inf + 44 2.701 * * [simplify]: Extracting #5: cost 5 inf + 288 2.701 * * [simplify]: Extracting #6: cost 1 inf + 616 2.702 * * [simplify]: Extracting #7: cost 0 inf + 739 2.702 * [simplify]: Simplified to (/ 4/3 (- 1 (* v v))) 2.702 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.702 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 2.702 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 2.702 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 2.702 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 2.702 * [simplify]: Simplifying (cbrt (- PI (* (* v v) PI))) 2.702 * * [simplify]: iters left: 6 (6 enodes) 2.704 * * [simplify]: iters left: 5 (23 enodes) 2.707 * * [simplify]: iters left: 4 (40 enodes) 2.713 * * [simplify]: iters left: 3 (62 enodes) 2.728 * * [simplify]: iters left: 2 (70 enodes) 2.747 * * [simplify]: iters left: 1 (79 enodes) 2.770 * * [simplify]: Extracting #0: cost 1 inf + 0 2.770 * * [simplify]: Extracting #1: cost 3 inf + 0 2.770 * * [simplify]: Extracting #2: cost 8 inf + 0 2.770 * * [simplify]: Extracting #3: cost 18 inf + 1 2.770 * * [simplify]: Extracting #4: cost 21 inf + 44 2.770 * * [simplify]: Extracting #5: cost 6 inf + 1268 2.771 * * [simplify]: Extracting #6: cost 0 inf + 1879 2.772 * [simplify]: Simplified to (cbrt (- PI (* PI (* v v)))) 2.772 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) (cbrt (- PI (* PI (* v v))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.772 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 2.773 * [simplify]: Simplifying (sqrt (- PI (* (* v v) PI))) 2.773 * * [simplify]: iters left: 6 (6 enodes) 2.776 * * [simplify]: iters left: 5 (23 enodes) 2.783 * * [simplify]: iters left: 4 (40 enodes) 2.796 * * [simplify]: iters left: 3 (62 enodes) 2.814 * * [simplify]: iters left: 2 (70 enodes) 2.831 * * [simplify]: iters left: 1 (79 enodes) 2.851 * * [simplify]: Extracting #0: cost 1 inf + 0 2.851 * * [simplify]: Extracting #1: cost 3 inf + 0 2.852 * * [simplify]: Extracting #2: cost 8 inf + 0 2.852 * * [simplify]: Extracting #3: cost 18 inf + 1 2.852 * * [simplify]: Extracting #4: cost 21 inf + 44 2.852 * * [simplify]: Extracting #5: cost 6 inf + 1228 2.853 * * [simplify]: Extracting #6: cost 0 inf + 1799 2.854 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 2.854 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 (sqrt (- PI (* (* v v) PI)))) (sqrt (- PI (* PI (* v v))))) (sqrt (+ 2 (* -6 (* v v)))))) 2.854 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 2.854 * [simplify]: Simplifying (- PI (* (* v v) PI)) 2.855 * * [simplify]: iters left: 6 (5 enodes) 2.857 * * [simplify]: iters left: 5 (20 enodes) 2.863 * * [simplify]: iters left: 4 (37 enodes) 2.874 * * [simplify]: iters left: 3 (59 enodes) 2.883 * * [simplify]: iters left: 2 (67 enodes) 2.893 * * [simplify]: iters left: 1 (76 enodes) 2.902 * * [simplify]: Extracting #0: cost 1 inf + 0 2.902 * * [simplify]: Extracting #1: cost 6 inf + 0 2.902 * * [simplify]: Extracting #2: cost 16 inf + 1 2.903 * * [simplify]: Extracting #3: cost 16 inf + 209 2.903 * * [simplify]: Extracting #4: cost 5 inf + 946 2.903 * * [simplify]: Extracting #5: cost 0 inf + 1475 2.904 * [simplify]: Simplified to (- PI (* PI (* v v))) 2.904 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 1) (- PI (* PI (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 2.904 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 2.904 * [simplify]: Simplifying (- 1 (* v v)) 2.904 * * [simplify]: iters left: 4 (4 enodes) 2.905 * * [simplify]: iters left: 3 (16 enodes) 2.908 * * [simplify]: iters left: 2 (24 enodes) 2.912 * * [simplify]: iters left: 1 (26 enodes) 2.919 * * [simplify]: Extracting #0: cost 1 inf + 0 2.919 * * [simplify]: Extracting #1: cost 5 inf + 0 2.919 * * [simplify]: Extracting #2: cost 8 inf + 1 2.919 * * [simplify]: Extracting #3: cost 2 inf + 370 2.920 * * [simplify]: Extracting #4: cost 0 inf + 492 2.920 * [simplify]: Simplified to (- 1 (* v v)) 2.920 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) 2.920 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 2.920 * [simplify]: Simplifying (* (cbrt 4/3) (cbrt 4/3)) 2.920 * * [simplify]: iters left: 3 (3 enodes) 2.923 * * [simplify]: iters left: 2 (9 enodes) 2.926 * * [simplify]: Extracting #0: cost 1 inf + 0 2.926 * * [simplify]: Extracting #1: cost 3 inf + 0 2.926 * * [simplify]: Extracting #2: cost 5 inf + 0 2.926 * * [simplify]: Extracting #3: cost 4 inf + 1 2.926 * * [simplify]: Extracting #4: cost 0 inf + 405 2.926 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 2.926 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt 4/3) (cbrt 4/3)) (/ (- PI (* (* v v) PI)) (cbrt 4/3))) (sqrt (+ 2 (* -6 (* v v)))))) 2.926 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 2.927 * [simplify]: Simplifying (sqrt 4/3) 2.927 * * [simplify]: iters left: 1 (2 enodes) 2.928 * * [simplify]: Extracting #0: cost 1 inf + 0 2.928 * * [simplify]: Extracting #1: cost 3 inf + 0 2.928 * * [simplify]: Extracting #2: cost 2 inf + 1 2.928 * * [simplify]: Extracting #3: cost 0 inf + 83 2.928 * [simplify]: Simplified to (sqrt 4/3) 2.928 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3))) (sqrt (+ 2 (* -6 (* v v)))))) 2.928 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 2.928 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 2.929 * [simplify]: Simplifying (+ (* PI PI) (+ (* (* (* v v) PI) (* (* v v) PI)) (* PI (* (* v v) PI)))) 2.929 * * [simplify]: iters left: 6 (9 enodes) 2.931 * * [simplify]: iters left: 5 (42 enodes) 2.939 * * [simplify]: iters left: 4 (109 enodes) 2.975 * * [simplify]: iters left: 3 (264 enodes) 3.092 * * [simplify]: iters left: 2 (441 enodes) 3.306 * * [simplify]: Extracting #0: cost 1 inf + 0 3.307 * * [simplify]: Extracting #1: cost 13 inf + 0 3.307 * * [simplify]: Extracting #2: cost 46 inf + 1 3.308 * * [simplify]: Extracting #3: cost 63 inf + 1830 3.312 * * [simplify]: Extracting #4: cost 22 inf + 7460 3.318 * * [simplify]: Extracting #5: cost 1 inf + 10944 3.324 * * [simplify]: Extracting #6: cost 0 inf + 11156 3.330 * [simplify]: Simplified to (* (+ (+ PI (* (* v v) PI)) (* (* v v) (* (* v v) PI))) PI) 3.330 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (- (pow PI 3) (pow (* (* v v) PI) 3))) (* (+ (+ PI (* (* v v) PI)) (* (* v v) (* (* v v) PI))) PI)) (sqrt (+ 2 (* -6 (* v v)))))) 3.330 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 3.331 * [simplify]: Simplifying (+ PI (* (* v v) PI)) 3.331 * * [simplify]: iters left: 6 (5 enodes) 3.333 * * [simplify]: iters left: 5 (22 enodes) 3.341 * * [simplify]: iters left: 4 (34 enodes) 3.347 * * [simplify]: iters left: 3 (43 enodes) 3.354 * * [simplify]: Extracting #0: cost 1 inf + 0 3.354 * * [simplify]: Extracting #1: cost 5 inf + 0 3.354 * * [simplify]: Extracting #2: cost 10 inf + 1 3.354 * * [simplify]: Extracting #3: cost 9 inf + 45 3.354 * * [simplify]: Extracting #4: cost 3 inf + 415 3.354 * * [simplify]: Extracting #5: cost 0 inf + 741 3.355 * [simplify]: Simplified to (+ (* PI (* v v)) PI) 3.355 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (- (* PI PI) (* (* (* v v) PI) (* (* v v) PI)))) (+ (* PI (* v v)) PI)) (sqrt (+ 2 (* -6 (* v v)))))) 3.355 * * * * [progress]: [ 34 / 100 ] simplifiying candidate #real (real->posit16 (/ 4/3 (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v))))))> 3.355 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 3.355 * [simplify]: Simplifying (* (* v v) PI) 3.355 * * [simplify]: iters left: 4 (4 enodes) 3.356 * * [simplify]: iters left: 3 (15 enodes) 3.358 * * [simplify]: iters left: 2 (19 enodes) 3.361 * * [simplify]: iters left: 1 (20 enodes) 3.363 * * [simplify]: Extracting #0: cost 1 inf + 0 3.363 * * [simplify]: Extracting #1: cost 6 inf + 0 3.363 * * [simplify]: Extracting #2: cost 6 inf + 2 3.363 * * [simplify]: Extracting #3: cost 0 inf + 332 3.363 * [simplify]: Simplified to (* PI (* v v)) 3.363 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (pow (* PI (* v v)) 1))) (sqrt (+ 2 (* -6 (* v v)))))) 3.363 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 3.364 * [simplify]: Simplifying (* (* v v) PI) 3.364 * * [simplify]: iters left: 4 (4 enodes) 3.365 * * [simplify]: iters left: 3 (15 enodes) 3.367 * * [simplify]: iters left: 2 (19 enodes) 3.369 * * [simplify]: iters left: 1 (20 enodes) 3.374 * * [simplify]: Extracting #0: cost 1 inf + 0 3.374 * * [simplify]: Extracting #1: cost 6 inf + 0 3.374 * * [simplify]: Extracting #2: cost 6 inf + 2 3.374 * * [simplify]: Extracting #3: cost 0 inf + 332 3.374 * [simplify]: Simplified to (* PI (* v v)) 3.374 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (pow (* PI (* v v)) 1))) (sqrt (+ 2 (* -6 (* v v)))))) 3.374 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 3.374 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 3.374 * [simplify]: Simplifying (+ (+ (log v) (log v)) (log PI)) 3.374 * * [simplify]: iters left: 5 (6 enodes) 3.377 * * [simplify]: iters left: 4 (21 enodes) 3.382 * * [simplify]: iters left: 3 (25 enodes) 3.388 * * [simplify]: iters left: 2 (26 enodes) 3.395 * * [simplify]: Extracting #0: cost 1 inf + 0 3.395 * * [simplify]: Extracting #1: cost 6 inf + 0 3.395 * * [simplify]: Extracting #2: cost 12 inf + 0 3.395 * * [simplify]: Extracting #3: cost 10 inf + 2 3.396 * * [simplify]: Extracting #4: cost 0 inf + 1316 3.396 * [simplify]: Simplified to (+ (+ (log v) (log v)) (log PI)) 3.396 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (exp (+ (+ (log v) (log v)) (log PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.396 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 3.397 * [simplify]: Simplifying (+ (log (* v v)) (log PI)) 3.397 * * [simplify]: iters left: 5 (6 enodes) 3.399 * * [simplify]: iters left: 4 (21 enodes) 3.405 * * [simplify]: iters left: 3 (27 enodes) 3.413 * * [simplify]: iters left: 2 (32 enodes) 3.420 * * [simplify]: Extracting #0: cost 1 inf + 0 3.420 * * [simplify]: Extracting #1: cost 6 inf + 0 3.420 * * [simplify]: Extracting #2: cost 13 inf + 0 3.420 * * [simplify]: Extracting #3: cost 12 inf + 2 3.421 * * [simplify]: Extracting #4: cost 4 inf + 913 3.421 * * [simplify]: Extracting #5: cost 0 inf + 1398 3.422 * [simplify]: Simplified to (+ (+ (log v) (log PI)) (log v)) 3.422 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (exp (+ (+ (log v) (log PI)) (log v))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.422 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 3.422 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 3.422 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 3.422 * [simplify]: Simplifying (* (* (* (* v v) v) (* (* v v) v)) (* (* PI PI) PI)) 3.422 * * [simplify]: iters left: 6 (8 enodes) 3.427 * * [simplify]: iters left: 5 (37 enodes) 3.442 * * [simplify]: iters left: 4 (93 enodes) 3.478 * * [simplify]: iters left: 3 (262 enodes) 3.598 * * [simplify]: Extracting #0: cost 1 inf + 0 3.598 * * [simplify]: Extracting #1: cost 36 inf + 0 3.599 * * [simplify]: Extracting #2: cost 101 inf + 166 3.602 * * [simplify]: Extracting #3: cost 56 inf + 6179 3.609 * * [simplify]: Extracting #4: cost 7 inf + 18194 3.618 * * [simplify]: Extracting #5: cost 0 inf + 19932 3.626 * [simplify]: Simplified to (* (* (* (* v v) PI) (* (* v v) PI)) (* (* v v) PI)) 3.626 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (cbrt (* (* (* (* v v) PI) (* (* v v) PI)) (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.626 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 3.627 * [simplify]: Simplifying (* (* (* (* v v) (* v v)) (* v v)) (* (* PI PI) PI)) 3.627 * * [simplify]: iters left: 6 (8 enodes) 3.632 * * [simplify]: iters left: 5 (38 enodes) 3.647 * * [simplify]: iters left: 4 (94 enodes) 3.685 * * [simplify]: iters left: 3 (271 enodes) 3.833 * * [simplify]: Extracting #0: cost 1 inf + 0 3.833 * * [simplify]: Extracting #1: cost 47 inf + 0 3.834 * * [simplify]: Extracting #2: cost 124 inf + 166 3.835 * * [simplify]: Extracting #3: cost 75 inf + 6845 3.840 * * [simplify]: Extracting #4: cost 12 inf + 22754 3.845 * * [simplify]: Extracting #5: cost 0 inf + 26265 3.850 * [simplify]: Simplified to (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))) 3.850 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (cbrt (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.850 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 3.850 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 3.850 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 3.850 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 3.850 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 3.850 * [simplify]: Simplifying (* v (sqrt PI)) 3.850 * * [simplify]: iters left: 3 (4 enodes) 3.851 * * [simplify]: iters left: 2 (13 enodes) 3.853 * * [simplify]: Extracting #0: cost 1 inf + 0 3.853 * * [simplify]: Extracting #1: cost 4 inf + 0 3.853 * * [simplify]: Extracting #2: cost 5 inf + 1 3.853 * * [simplify]: Extracting #3: cost 4 inf + 2 3.853 * * [simplify]: Extracting #4: cost 0 inf + 248 3.853 * [simplify]: Simplified to (* v (sqrt PI)) 3.853 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v (sqrt PI)) (* v (sqrt PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.854 * [simplify]: Simplifying (* v (sqrt PI)) 3.854 * * [simplify]: iters left: 3 (4 enodes) 3.854 * * [simplify]: iters left: 2 (13 enodes) 3.856 * * [simplify]: Extracting #0: cost 1 inf + 0 3.856 * * [simplify]: Extracting #1: cost 4 inf + 0 3.856 * * [simplify]: Extracting #2: cost 5 inf + 1 3.856 * * [simplify]: Extracting #3: cost 4 inf + 2 3.856 * * [simplify]: Extracting #4: cost 0 inf + 248 3.856 * [simplify]: Simplified to (* v (sqrt PI)) 3.856 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v (sqrt PI)) (* v (sqrt PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 3.856 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 3.857 * [simplify]: Simplifying (cbrt PI) 3.857 * * [simplify]: iters left: 1 (2 enodes) 3.857 * * [simplify]: Extracting #0: cost 1 inf + 0 3.857 * * [simplify]: Extracting #1: cost 3 inf + 0 3.857 * * [simplify]: Extracting #2: cost 2 inf + 1 3.857 * * [simplify]: Extracting #3: cost 0 inf + 163 3.857 * [simplify]: Simplified to (cbrt PI) 3.857 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* (* v v) (* (cbrt PI) (cbrt PI))) (cbrt PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 3.857 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 3.857 * [simplify]: Simplifying (sqrt PI) 3.857 * * [simplify]: iters left: 1 (2 enodes) 3.858 * * [simplify]: Extracting #0: cost 1 inf + 0 3.858 * * [simplify]: Extracting #1: cost 3 inf + 0 3.858 * * [simplify]: Extracting #2: cost 2 inf + 1 3.858 * * [simplify]: Extracting #3: cost 0 inf + 83 3.858 * [simplify]: Simplified to (sqrt PI) 3.858 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* (* v v) (sqrt PI)) (sqrt PI)))) (sqrt (+ 2 (* -6 (* v v)))))) 3.858 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 3.858 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 3.858 * * * * [progress]: [ 53 / 100 ] simplifiying candidate #real (real->posit16 (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v))))))> 3.858 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 3.858 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 3.858 * [simplify]: Simplifying (* -6 (* v v)) 3.859 * * [simplify]: iters left: 4 (4 enodes) 3.860 * * [simplify]: iters left: 3 (15 enodes) 3.862 * * [simplify]: iters left: 2 (19 enodes) 3.865 * * [simplify]: Extracting #0: cost 1 inf + 0 3.865 * * [simplify]: Extracting #1: cost 6 inf + 0 3.865 * * [simplify]: Extracting #2: cost 5 inf + 43 3.865 * * [simplify]: Extracting #3: cost 0 inf + 332 3.865 * [simplify]: Simplified to (* -6 (* v v)) 3.865 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (pow (* -6 (* v v)) 1))))) 3.866 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 3.866 * [simplify]: Simplifying (* -6 (* v v)) 3.866 * * [simplify]: iters left: 4 (4 enodes) 3.867 * * [simplify]: iters left: 3 (15 enodes) 3.869 * * [simplify]: iters left: 2 (19 enodes) 3.872 * * [simplify]: Extracting #0: cost 1 inf + 0 3.872 * * [simplify]: Extracting #1: cost 6 inf + 0 3.872 * * [simplify]: Extracting #2: cost 5 inf + 43 3.872 * * [simplify]: Extracting #3: cost 0 inf + 332 3.872 * [simplify]: Simplified to (* -6 (* v v)) 3.872 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (pow (* -6 (* v v)) 1))))) 3.872 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 3.873 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 3.873 * [simplify]: Simplifying (+ (log -6) (+ (log v) (log v))) 3.873 * * [simplify]: iters left: 5 (6 enodes) 3.874 * * [simplify]: iters left: 4 (21 enodes) 3.878 * * [simplify]: iters left: 3 (25 enodes) 3.881 * * [simplify]: Extracting #0: cost 1 inf + 0 3.881 * * [simplify]: Extracting #1: cost 6 inf + 0 3.881 * * [simplify]: Extracting #2: cost 12 inf + 0 3.881 * * [simplify]: Extracting #3: cost 10 inf + 2 3.882 * * [simplify]: Extracting #4: cost 0 inf + 1316 3.882 * [simplify]: Simplified to (+ (log -6) (+ (log v) (log v))) 3.882 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (exp (+ (log -6) (+ (log v) (log v)))))))) 3.882 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 3.882 * [simplify]: Simplifying (+ (log -6) (log (* v v))) 3.882 * * [simplify]: iters left: 5 (6 enodes) 3.886 * * [simplify]: iters left: 4 (21 enodes) 3.890 * * [simplify]: iters left: 3 (27 enodes) 3.895 * * [simplify]: iters left: 2 (32 enodes) 3.899 * * [simplify]: Extracting #0: cost 1 inf + 0 3.899 * * [simplify]: Extracting #1: cost 6 inf + 0 3.899 * * [simplify]: Extracting #2: cost 13 inf + 0 3.899 * * [simplify]: Extracting #3: cost 9 inf + 185 3.900 * * [simplify]: Extracting #4: cost 4 inf + 741 3.900 * * [simplify]: Extracting #5: cost 0 inf + 1398 3.900 * [simplify]: Simplified to (+ (log -6) (+ (log v) (log v))) 3.900 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (exp (+ (log -6) (+ (log v) (log v)))))))) 3.900 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 3.900 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 3.900 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 3.900 * [simplify]: Simplifying (* (* (* -6 -6) -6) (* (* (* v v) v) (* (* v v) v))) 3.901 * * [simplify]: iters left: 6 (8 enodes) 3.904 * * [simplify]: iters left: 5 (38 enodes) 3.919 * * [simplify]: iters left: 4 (97 enodes) 3.965 * * [simplify]: iters left: 3 (288 enodes) 4.120 * * [simplify]: Extracting #0: cost 1 inf + 0 4.120 * * [simplify]: Extracting #1: cost 46 inf + 0 4.121 * * [simplify]: Extracting #2: cost 82 inf + 1069 4.123 * * [simplify]: Extracting #3: cost 38 inf + 6203 4.129 * * [simplify]: Extracting #4: cost 9 inf + 12152 4.140 * * [simplify]: Extracting #5: cost 0 inf + 14415 4.145 * [simplify]: Simplified to (* (* (* (* v v) (* v v)) -216) (* v v)) 4.145 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (cbrt (* (* (* (* v v) (* v v)) -216) (* v v))))))) 4.145 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 4.145 * [simplify]: Simplifying (* (* (* -6 -6) -6) (* (* (* v v) (* v v)) (* v v))) 4.145 * * [simplify]: iters left: 6 (8 enodes) 4.149 * * [simplify]: iters left: 5 (39 enodes) 4.159 * * [simplify]: iters left: 4 (97 enodes) 4.194 * * [simplify]: iters left: 3 (288 enodes) 4.415 * * [simplify]: Extracting #0: cost 1 inf + 0 4.415 * * [simplify]: Extracting #1: cost 61 inf + 0 4.416 * * [simplify]: Extracting #2: cost 108 inf + 1186 4.418 * * [simplify]: Extracting #3: cost 30 inf + 13787 4.422 * * [simplify]: Extracting #4: cost 1 inf + 19061 4.426 * * [simplify]: Extracting #5: cost 0 inf + 19273 4.430 * [simplify]: Simplified to (* -216 (* (* v v) (* (* v v) (* v v)))) 4.431 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (cbrt (* -216 (* (* v v) (* (* v v) (* v v))))))))) 4.431 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 4.431 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 4.431 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 4.431 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 4.431 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 4.431 * [simplify]: Simplifying (* (sqrt -6) v) 4.431 * * [simplify]: iters left: 3 (4 enodes) 4.433 * * [simplify]: iters left: 2 (13 enodes) 4.435 * * [simplify]: Extracting #0: cost 1 inf + 0 4.435 * * [simplify]: Extracting #1: cost 4 inf + 0 4.435 * * [simplify]: Extracting #2: cost 5 inf + 1 4.436 * * [simplify]: Extracting #3: cost 4 inf + 2 4.436 * * [simplify]: Extracting #4: cost 0 inf + 248 4.436 * [simplify]: Simplified to (* v (sqrt -6)) 4.436 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* v (sqrt -6)) (* (sqrt -6) v)))))) 4.436 * [simplify]: Simplifying (* (sqrt -6) v) 4.436 * * [simplify]: iters left: 3 (4 enodes) 4.439 * * [simplify]: iters left: 2 (13 enodes) 4.443 * * [simplify]: Extracting #0: cost 1 inf + 0 4.443 * * [simplify]: Extracting #1: cost 4 inf + 0 4.444 * * [simplify]: Extracting #2: cost 5 inf + 1 4.444 * * [simplify]: Extracting #3: cost 4 inf + 2 4.444 * * [simplify]: Extracting #4: cost 0 inf + 248 4.444 * [simplify]: Simplified to (* v (sqrt -6)) 4.444 * [simplify]: Simplified (2 2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* (sqrt -6) v) (* v (sqrt -6))))))) 4.444 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 4.444 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 4.444 * [simplify]: Simplifying (* (cbrt -6) (cbrt -6)) 4.445 * * [simplify]: iters left: 3 (3 enodes) 4.447 * * [simplify]: iters left: 2 (9 enodes) 4.451 * * [simplify]: Extracting #0: cost 1 inf + 0 4.451 * * [simplify]: Extracting #1: cost 3 inf + 0 4.451 * * [simplify]: Extracting #2: cost 5 inf + 0 4.451 * * [simplify]: Extracting #3: cost 4 inf + 1 4.451 * * [simplify]: Extracting #4: cost 0 inf + 405 4.451 * [simplify]: Simplified to (* (cbrt -6) (cbrt -6)) 4.451 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* (cbrt -6) (cbrt -6)) (* (cbrt -6) (* v v))))))) 4.451 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 4.452 * [simplify]: Simplifying (sqrt -6) 4.452 * * [simplify]: iters left: 1 (2 enodes) 4.453 * * [simplify]: Extracting #0: cost 1 inf + 0 4.453 * * [simplify]: Extracting #1: cost 3 inf + 0 4.453 * * [simplify]: Extracting #2: cost 2 inf + 1 4.453 * * [simplify]: Extracting #3: cost 0 inf + 83 4.453 * [simplify]: Simplified to (sqrt -6) 4.454 * [simplify]: Simplified (2 2 1 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (sqrt -6) (* (sqrt -6) (* v v))))))) 4.454 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 4.454 * * * * [progress]: [ 73 / 100 ] simplifiying candidate #real (real->posit16 (* -6 (* v v))))))))> 4.454 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 4.454 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 4.454 * [simplify]: Simplifying (/ (exp PI) (exp (* (* v v) PI))) 4.454 * * [simplify]: iters left: 6 (7 enodes) 4.457 * * [simplify]: iters left: 5 (28 enodes) 4.466 * * [simplify]: iters left: 4 (46 enodes) 4.480 * * [simplify]: iters left: 3 (84 enodes) 4.507 * * [simplify]: iters left: 2 (166 enodes) 4.543 * * [simplify]: iters left: 1 (349 enodes) 4.663 * * [simplify]: Extracting #0: cost 1 inf + 0 4.663 * * [simplify]: Extracting #1: cost 88 inf + 0 4.664 * * [simplify]: Extracting #2: cost 233 inf + 73 4.665 * * [simplify]: Extracting #3: cost 293 inf + 3233 4.668 * * [simplify]: Extracting #4: cost 233 inf + 17907 4.678 * * [simplify]: Extracting #5: cost 72 inf + 76408 4.701 * * [simplify]: Extracting #6: cost 4 inf + 115575 4.726 * * [simplify]: Extracting #7: cost 0 inf + 117028 4.754 * [simplify]: Simplified to (exp (- PI (* (* v v) PI))) 4.755 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (log (exp (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v)))))) 4.755 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 4.755 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 4.756 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 4.756 * [simplify]: Simplifying (- 1 (* v v)) 4.756 * * [simplify]: iters left: 4 (4 enodes) 4.759 * * [simplify]: iters left: 3 (16 enodes) 4.764 * * [simplify]: iters left: 2 (24 enodes) 4.771 * * [simplify]: iters left: 1 (26 enodes) 4.779 * * [simplify]: Extracting #0: cost 1 inf + 0 4.779 * * [simplify]: Extracting #1: cost 5 inf + 0 4.779 * * [simplify]: Extracting #2: cost 8 inf + 1 4.780 * * [simplify]: Extracting #3: cost 2 inf + 370 4.780 * * [simplify]: Extracting #4: cost 0 inf + 492 4.780 * [simplify]: Simplified to (- 1 (* v v)) 4.780 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (* PI (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v)))))) 4.780 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 4.780 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (- PI (* (* v v) PI))))) (sqrt (+ 2 (* -6 (* v v))))))> 4.780 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 4.781 * [simplify]: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 4.781 * * [simplify]: iters left: 6 (16 enodes) 4.792 * * [simplify]: iters left: 5 (72 enodes) 4.816 * * [simplify]: iters left: 4 (113 enodes) 4.851 * * [simplify]: iters left: 3 (165 enodes) 4.879 * * [simplify]: iters left: 2 (228 enodes) 4.948 * * [simplify]: iters left: 1 (394 enodes) 5.103 * * [simplify]: Extracting #0: cost 1 inf + 0 5.103 * * [simplify]: Extracting #1: cost 11 inf + 0 5.103 * * [simplify]: Extracting #2: cost 84 inf + 1 5.103 * * [simplify]: Extracting #3: cost 126 inf + 130 5.105 * * [simplify]: Extracting #4: cost 75 inf + 7894 5.109 * * [simplify]: Extracting #5: cost 14 inf + 16363 5.114 * * [simplify]: Extracting #6: cost 1 inf + 17196 5.119 * * [simplify]: Extracting #7: cost 0 inf + 17360 5.124 * * [simplify]: Extracting #8: cost 0 inf + 17321 5.132 * [simplify]: Simplified to (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (/ 4/3 PI)) 5.132 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (/ 4/3 PI)) (sqrt (+ 2 (* -6 (* v v)))))) 5.133 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 5.133 * [simplify]: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 5.133 * * [simplify]: iters left: 6 (22 enodes) 5.141 * * [simplify]: iters left: 5 (104 enodes) 5.161 * * [simplify]: iters left: 4 (203 enodes) 5.220 * * [simplify]: iters left: 3 (416 enodes) 5.378 * * [simplify]: Extracting #0: cost 1 inf + 0 5.378 * * [simplify]: Extracting #1: cost 24 inf + 0 5.379 * * [simplify]: Extracting #2: cost 117 inf + 2 5.380 * * [simplify]: Extracting #3: cost 191 inf + 458 5.387 * * [simplify]: Extracting #4: cost 100 inf + 14377 5.404 * * [simplify]: Extracting #5: cost 11 inf + 33459 5.424 * * [simplify]: Extracting #6: cost 1 inf + 36065 5.444 * * [simplify]: Extracting #7: cost 0 inf + 36277 5.464 * [simplify]: Simplified to (+ (+ (/ (/ (/ -4/3 PI) (* v v)) (* v v)) (/ (/ -4/3 PI) (* (* (* v v) v) (* (* v v) v)))) (/ (/ -4/3 PI) (* v v))) 5.464 * [simplify]: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ (/ -4/3 PI) (* v v)) (* v v)) (/ (/ -4/3 PI) (* (* (* v v) v) (* (* v v) v)))) (/ (/ -4/3 PI) (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) 5.464 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 5.464 * [simplify]: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 5.465 * * [simplify]: iters left: 6 (22 enodes) 5.479 * * [simplify]: iters left: 5 (104 enodes) 5.522 * * [simplify]: iters left: 4 (203 enodes) 5.597 * * [simplify]: iters left: 3 (416 enodes) 5.775 * * [simplify]: Extracting #0: cost 1 inf + 0 5.776 * * [simplify]: Extracting #1: cost 24 inf + 0 5.780 * * [simplify]: Extracting #2: cost 117 inf + 2 5.782 * * [simplify]: Extracting #3: cost 191 inf + 458 5.788 * * [simplify]: Extracting #4: cost 100 inf + 14377 5.805 * * [simplify]: Extracting #5: cost 11 inf + 33459 5.823 * * [simplify]: Extracting #6: cost 1 inf + 36065 5.834 * * [simplify]: Extracting #7: cost 0 inf + 36277 5.845 * [simplify]: Simplified to (+ (+ (/ (/ (/ -4/3 PI) (* v v)) (* v v)) (/ (/ -4/3 PI) (* (* (* v v) v) (* (* v v) v)))) (/ (/ -4/3 PI) (* v v))) 5.845 * [simplify]: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ (/ -4/3 PI) (* v v)) (* v v)) (/ (/ -4/3 PI) (* (* (* v v) v) (* (* v v) v)))) (/ (/ -4/3 PI) (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) 5.845 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 5.845 * [simplify]: Simplifying (* (pow v 2) PI) 5.845 * * [simplify]: iters left: 3 (5 enodes) 5.847 * * [simplify]: iters left: 2 (21 enodes) 5.851 * * [simplify]: iters left: 1 (29 enodes) 5.855 * * [simplify]: Extracting #0: cost 1 inf + 0 5.855 * * [simplify]: Extracting #1: cost 6 inf + 0 5.855 * * [simplify]: Extracting #2: cost 7 inf + 2 5.856 * * [simplify]: Extracting #3: cost 0 inf + 333 5.856 * [simplify]: Simplified to (* (* v v) PI) 5.856 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 5.856 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 5.856 * [simplify]: Simplifying (* (pow v 2) PI) 5.856 * * [simplify]: iters left: 3 (5 enodes) 5.858 * * [simplify]: iters left: 2 (21 enodes) 5.863 * * [simplify]: iters left: 1 (29 enodes) 5.871 * * [simplify]: Extracting #0: cost 1 inf + 0 5.872 * * [simplify]: Extracting #1: cost 6 inf + 0 5.872 * * [simplify]: Extracting #2: cost 7 inf + 2 5.872 * * [simplify]: Extracting #3: cost 0 inf + 333 5.872 * [simplify]: Simplified to (* (* v v) PI) 5.872 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 5.872 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 5.872 * [simplify]: Simplifying (* (pow v 2) PI) 5.873 * * [simplify]: iters left: 3 (5 enodes) 5.876 * * [simplify]: iters left: 2 (21 enodes) 5.883 * * [simplify]: iters left: 1 (29 enodes) 5.892 * * [simplify]: Extracting #0: cost 1 inf + 0 5.892 * * [simplify]: Extracting #1: cost 6 inf + 0 5.892 * * [simplify]: Extracting #2: cost 7 inf + 2 5.892 * * [simplify]: Extracting #3: cost 0 inf + 333 5.892 * [simplify]: Simplified to (* (* v v) PI) 5.892 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 5.893 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 5.893 * [simplify]: Simplifying (* -6 (pow v 2)) 5.893 * * [simplify]: iters left: 3 (5 enodes) 5.897 * * [simplify]: iters left: 2 (21 enodes) 5.904 * * [simplify]: iters left: 1 (29 enodes) 5.915 * * [simplify]: Extracting #0: cost 1 inf + 0 5.915 * * [simplify]: Extracting #1: cost 6 inf + 0 5.915 * * [simplify]: Extracting #2: cost 6 inf + 43 5.915 * * [simplify]: Extracting #3: cost 0 inf + 333 5.916 * [simplify]: Simplified to (* (* v v) -6) 5.916 * [simplify]: Simplified (2 2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* v v) -6))))) 5.916 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 5.916 * [simplify]: Simplifying (* -6 (pow v 2)) 5.916 * * [simplify]: iters left: 3 (5 enodes) 5.920 * * [simplify]: iters left: 2 (21 enodes) 5.927 * * [simplify]: iters left: 1 (29 enodes) 5.936 * * [simplify]: Extracting #0: cost 1 inf + 0 5.936 * * [simplify]: Extracting #1: cost 6 inf + 0 5.936 * * [simplify]: Extracting #2: cost 6 inf + 43 5.936 * * [simplify]: Extracting #3: cost 0 inf + 333 5.936 * [simplify]: Simplified to (* (* v v) -6) 5.936 * [simplify]: Simplified (2 2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* v v) -6))))) 5.936 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 5.937 * [simplify]: Simplifying (* -6 (pow v 2)) 5.937 * * [simplify]: iters left: 3 (5 enodes) 5.940 * * [simplify]: iters left: 2 (21 enodes) 5.948 * * [simplify]: iters left: 1 (29 enodes) 5.954 * * [simplify]: Extracting #0: cost 1 inf + 0 5.954 * * [simplify]: Extracting #1: cost 6 inf + 0 5.954 * * [simplify]: Extracting #2: cost 6 inf + 43 5.954 * * [simplify]: Extracting #3: cost 0 inf + 333 5.955 * [simplify]: Simplified to (* (* v v) -6) 5.955 * [simplify]: Simplified (2 2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* (* v v) -6))))) 5.955 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 5.955 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 5.955 * * [simplify]: iters left: 5 (6 enodes) 5.957 * * [simplify]: iters left: 4 (26 enodes) 5.961 * * [simplify]: iters left: 3 (43 enodes) 5.968 * * [simplify]: iters left: 2 (69 enodes) 5.978 * * [simplify]: iters left: 1 (81 enodes) 5.997 * * [simplify]: Extracting #0: cost 1 inf + 0 5.997 * * [simplify]: Extracting #1: cost 8 inf + 0 5.997 * * [simplify]: Extracting #2: cost 18 inf + 1 5.997 * * [simplify]: Extracting #3: cost 13 inf + 701 5.998 * * [simplify]: Extracting #4: cost 2 inf + 1357 5.998 * * [simplify]: Extracting #5: cost 0 inf + 1560 5.999 * [simplify]: Simplified to (- PI (* (* v v) PI)) 5.999 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 5.999 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 5.999 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 5.999 * * [simplify]: iters left: 5 (6 enodes) 6.001 * * [simplify]: iters left: 4 (26 enodes) 6.005 * * [simplify]: iters left: 3 (43 enodes) 6.012 * * [simplify]: iters left: 2 (69 enodes) 6.028 * * [simplify]: iters left: 1 (81 enodes) 6.044 * * [simplify]: Extracting #0: cost 1 inf + 0 6.044 * * [simplify]: Extracting #1: cost 8 inf + 0 6.044 * * [simplify]: Extracting #2: cost 18 inf + 1 6.044 * * [simplify]: Extracting #3: cost 13 inf + 701 6.045 * * [simplify]: Extracting #4: cost 2 inf + 1357 6.045 * * [simplify]: Extracting #5: cost 0 inf + 1560 6.046 * [simplify]: Simplified to (- PI (* (* v v) PI)) 6.046 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 6.046 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 6.046 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 6.046 * * [simplify]: iters left: 5 (6 enodes) 6.048 * * [simplify]: iters left: 4 (26 enodes) 6.053 * * [simplify]: iters left: 3 (43 enodes) 6.060 * * [simplify]: iters left: 2 (69 enodes) 6.070 * * [simplify]: iters left: 1 (81 enodes) 6.081 * * [simplify]: Extracting #0: cost 1 inf + 0 6.081 * * [simplify]: Extracting #1: cost 8 inf + 0 6.081 * * [simplify]: Extracting #2: cost 18 inf + 1 6.081 * * [simplify]: Extracting #3: cost 13 inf + 701 6.081 * * [simplify]: Extracting #4: cost 2 inf + 1357 6.082 * * [simplify]: Extracting #5: cost 0 inf + 1560 6.082 * [simplify]: Simplified to (- PI (* (* v v) PI)) 6.082 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (+ 2 (* -6 (* v v)))))) 6.082 * * * [progress]: adding candidates to table 6.978 * * [progress]: iteration 2 / 4 6.978 * * * [progress]: picking best candidate 6.983 * * * * [pick]: Picked # 6.983 * * * [progress]: localizing error 7.032 * * * [progress]: generating rewritten candidates 7.032 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 7.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 7.245 * * * [progress]: generating series expansions 7.245 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.246 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) into (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) 7.246 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in (v) around 0 7.246 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in v 7.246 * [taylor]: Taking taylor expansion of 4/3 in v 7.246 * [backup-simplify]: Simplify 4/3 into 4/3 7.246 * [taylor]: Taking taylor expansion of (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) in v 7.246 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (pow v 2)) PI)) in v 7.246 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.246 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.246 * [taylor]: Taking taylor expansion of 1 in v 7.246 * [backup-simplify]: Simplify 1 into 1 7.246 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.246 * [taylor]: Taking taylor expansion of v in v 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.246 * [taylor]: Taking taylor expansion of PI in v 7.246 * [backup-simplify]: Simplify PI into PI 7.246 * [backup-simplify]: Simplify (+ 1 0) into 1 7.247 * [backup-simplify]: Simplify (* 1 PI) into PI 7.247 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 7.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (pow v 2))))) in v 7.247 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (pow v 2)))) in v 7.247 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.247 * [taylor]: Taking taylor expansion of 2 in v 7.247 * [backup-simplify]: Simplify 2 into 2 7.247 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.247 * [taylor]: Taking taylor expansion of 6 in v 7.247 * [backup-simplify]: Simplify 6 into 6 7.247 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.247 * [taylor]: Taking taylor expansion of v in v 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (+ 2 0) into 2 7.248 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.248 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.248 * [backup-simplify]: Simplify (+ 0 0) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 7.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.249 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in v 7.249 * [taylor]: Taking taylor expansion of 4/3 in v 7.249 * [backup-simplify]: Simplify 4/3 into 4/3 7.249 * [taylor]: Taking taylor expansion of (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) in v 7.249 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (pow v 2)) PI)) in v 7.249 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.249 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.249 * [taylor]: Taking taylor expansion of 1 in v 7.249 * [backup-simplify]: Simplify 1 into 1 7.249 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.249 * [taylor]: Taking taylor expansion of v in v 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.250 * [taylor]: Taking taylor expansion of PI in v 7.250 * [backup-simplify]: Simplify PI into PI 7.250 * [backup-simplify]: Simplify (+ 1 0) into 1 7.250 * [backup-simplify]: Simplify (* 1 PI) into PI 7.250 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 7.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (pow v 2))))) in v 7.250 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (pow v 2)))) in v 7.250 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.250 * [taylor]: Taking taylor expansion of 2 in v 7.250 * [backup-simplify]: Simplify 2 into 2 7.251 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.251 * [taylor]: Taking taylor expansion of 6 in v 7.251 * [backup-simplify]: Simplify 6 into 6 7.251 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.251 * [taylor]: Taking taylor expansion of v in v 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (+ 2 0) into 2 7.251 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.251 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.252 * [backup-simplify]: Simplify (+ 0 0) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.253 * [backup-simplify]: Simplify (* (/ 1 PI) (sqrt 1/2)) into (/ (sqrt 1/2) PI) 7.254 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 7.255 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 7.256 * [backup-simplify]: Simplify (+ 0 0) into 0 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 7.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))) into 0 7.258 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (/ (sqrt 1/2) PI))) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (* 1 1) into 1 7.258 * [backup-simplify]: Simplify (* 6 1) into 6 7.259 * [backup-simplify]: Simplify (- 6) into -6 7.259 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.260 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -6 2)) (* 0 (/ 0 2)))) into 3/2 7.261 * [backup-simplify]: Simplify (/ (- 3/2 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 3/4 (sqrt 1/2)) 7.262 * [backup-simplify]: Simplify (* 1 1) into 1 7.262 * [backup-simplify]: Simplify (- 1) into -1 7.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 7.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 7.276 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))) into (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) 7.286 * [backup-simplify]: Simplify (+ (* 4/3 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 7.290 * [backup-simplify]: Simplify (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 7.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.291 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.292 * [backup-simplify]: Simplify (- 0) into 0 7.292 * [backup-simplify]: Simplify (+ 0 0) into 0 7.294 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -6 2)) (* 3/2 (/ 0 2)))) into 0 7.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/4 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 7.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.297 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 7.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 7.302 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 3/4 (sqrt 1/2))) (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))))) into 0 7.305 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI))))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.307 * [backup-simplify]: Simplify (- 0) into 0 7.307 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 3/2 (/ -6 2)) (* 0 (/ 0 2)))) into 9/2 7.316 * [backup-simplify]: Simplify (/ (- 9/2 (pow (/ 3/4 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 7.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.317 * [backup-simplify]: Simplify (- 0) into 0 7.317 * [backup-simplify]: Simplify (+ 0 0) into 0 7.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 7.349 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))))) into (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.371 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3)))))) (+ (* 0 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.378 * [backup-simplify]: Simplify (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.390 * [backup-simplify]: Simplify (+ (* (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) (pow v 4)) (+ (* (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) (pow v 2)) (* 4/3 (/ (sqrt 1/2) PI)))) into (- (+ (* 4 (/ (pow v 4) (* PI (sqrt 1/2)))) (+ (/ (pow v 2) (* PI (sqrt 1/2))) (+ (* 4/3 (/ (sqrt 1/2) PI)) (+ (* 4/3 (/ (* (pow v 2) (sqrt 1/2)) PI)) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) PI)))))) (* 3/8 (/ (pow v 4) (* PI (pow (sqrt 1/2) 3))))) 7.390 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) into (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) 7.390 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in (v) around 0 7.390 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.390 * [taylor]: Taking taylor expansion of 4/3 in v 7.390 * [backup-simplify]: Simplify 4/3 into 4/3 7.390 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.390 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.390 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.390 * [taylor]: Taking taylor expansion of PI in v 7.390 * [backup-simplify]: Simplify PI into PI 7.390 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.390 * [taylor]: Taking taylor expansion of 1 in v 7.390 * [backup-simplify]: Simplify 1 into 1 7.390 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.390 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.390 * [taylor]: Taking taylor expansion of v in v 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (* 1 1) into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [backup-simplify]: Simplify (- 1) into -1 7.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.393 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.394 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.394 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.394 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.394 * [taylor]: Taking taylor expansion of 2 in v 7.394 * [backup-simplify]: Simplify 2 into 2 7.394 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.394 * [taylor]: Taking taylor expansion of 6 in v 7.394 * [backup-simplify]: Simplify 6 into 6 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.394 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.394 * [taylor]: Taking taylor expansion of v in v 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (* 1 1) into 1 7.394 * [backup-simplify]: Simplify (/ 1 1) into 1 7.395 * [backup-simplify]: Simplify (* 6 1) into 6 7.395 * [backup-simplify]: Simplify (- 6) into -6 7.395 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.396 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.396 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.397 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.397 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.398 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.399 * [taylor]: Taking taylor expansion of 4/3 in v 7.399 * [backup-simplify]: Simplify 4/3 into 4/3 7.399 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.399 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.399 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.399 * [taylor]: Taking taylor expansion of PI in v 7.399 * [backup-simplify]: Simplify PI into PI 7.399 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.399 * [taylor]: Taking taylor expansion of 1 in v 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.399 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.399 * [taylor]: Taking taylor expansion of v in v 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (* 1 1) into 1 7.400 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [backup-simplify]: Simplify (- 1) into -1 7.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.401 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.402 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.402 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.402 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.402 * [taylor]: Taking taylor expansion of 2 in v 7.402 * [backup-simplify]: Simplify 2 into 2 7.402 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.402 * [taylor]: Taking taylor expansion of 6 in v 7.402 * [backup-simplify]: Simplify 6 into 6 7.402 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.402 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.403 * [taylor]: Taking taylor expansion of v in v 7.403 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (/ 1 1) into 1 7.404 * [backup-simplify]: Simplify (* 6 1) into 6 7.404 * [backup-simplify]: Simplify (- 6) into -6 7.404 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.405 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.405 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.407 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.408 * [backup-simplify]: Simplify (- 0) into 0 7.408 * [backup-simplify]: Simplify (+ 0 0) into 0 7.409 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.411 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 7.414 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 7.416 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (- 0) into 0 7.418 * [backup-simplify]: Simplify (+ 0 0) into 0 7.418 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 -1)) into 0 7.420 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 7.421 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.425 * [backup-simplify]: Simplify (- 0) into 0 7.426 * [backup-simplify]: Simplify (+ 2 0) into 2 7.427 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 7.430 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 7.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.432 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify (+ 1 0) into 1 7.435 * [backup-simplify]: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 -1))) into PI 7.440 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 7.449 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 7.459 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 7.465 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (- 0) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 7.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 7.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (- 0) into 0 7.475 * [backup-simplify]: Simplify (+ 0 0) into 0 7.477 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 7.479 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (/ 1 PI)) (/ 0 (* -1 PI))))) into 0 7.481 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.489 * [backup-simplify]: Simplify (- 0) into 0 7.490 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 7.498 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (- 0) into 0 7.501 * [backup-simplify]: Simplify (+ 0 0) into 0 7.502 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 7.508 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (/ 1 PI)) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 7.524 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 7.543 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 7.554 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 7.566 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6))))))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI)))))) 7.567 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) into (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) 7.567 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in (v) around 0 7.567 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.567 * [taylor]: Taking taylor expansion of 4/3 in v 7.567 * [backup-simplify]: Simplify 4/3 into 4/3 7.567 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.567 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.567 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.567 * [taylor]: Taking taylor expansion of PI in v 7.567 * [backup-simplify]: Simplify PI into PI 7.567 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.567 * [taylor]: Taking taylor expansion of 1 in v 7.567 * [backup-simplify]: Simplify 1 into 1 7.567 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.567 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.567 * [taylor]: Taking taylor expansion of v in v 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (* 1 1) into 1 7.568 * [backup-simplify]: Simplify (/ 1 1) into 1 7.568 * [backup-simplify]: Simplify (- 1) into -1 7.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.569 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.569 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.569 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.569 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.569 * [taylor]: Taking taylor expansion of 2 in v 7.569 * [backup-simplify]: Simplify 2 into 2 7.569 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.569 * [taylor]: Taking taylor expansion of 6 in v 7.569 * [backup-simplify]: Simplify 6 into 6 7.569 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.569 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.570 * [taylor]: Taking taylor expansion of v in v 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (* 1 1) into 1 7.570 * [backup-simplify]: Simplify (/ 1 1) into 1 7.570 * [backup-simplify]: Simplify (* 6 1) into 6 7.571 * [backup-simplify]: Simplify (- 6) into -6 7.571 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.571 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.571 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.573 * [backup-simplify]: Simplify (- 0) into 0 7.573 * [backup-simplify]: Simplify (+ 0 0) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.574 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.574 * [taylor]: Taking taylor expansion of 4/3 in v 7.574 * [backup-simplify]: Simplify 4/3 into 4/3 7.574 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.574 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.574 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.574 * [taylor]: Taking taylor expansion of PI in v 7.574 * [backup-simplify]: Simplify PI into PI 7.574 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.574 * [taylor]: Taking taylor expansion of 1 in v 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.574 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.574 * [taylor]: Taking taylor expansion of v in v 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (* 1 1) into 1 7.575 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (- 1) into -1 7.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.575 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.576 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.576 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.576 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.576 * [taylor]: Taking taylor expansion of 2 in v 7.576 * [backup-simplify]: Simplify 2 into 2 7.576 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.576 * [taylor]: Taking taylor expansion of 6 in v 7.576 * [backup-simplify]: Simplify 6 into 6 7.576 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.576 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.576 * [taylor]: Taking taylor expansion of v in v 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify (* 1 1) into 1 7.577 * [backup-simplify]: Simplify (/ 1 1) into 1 7.577 * [backup-simplify]: Simplify (* 6 1) into 6 7.577 * [backup-simplify]: Simplify (- 6) into -6 7.578 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.578 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.578 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.580 * [backup-simplify]: Simplify (- 0) into 0 7.580 * [backup-simplify]: Simplify (+ 0 0) into 0 7.580 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.582 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 7.583 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 7.585 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify (- 0) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 -1)) into 0 7.589 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 7.590 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.596 * [backup-simplify]: Simplify (+ 2 0) into 2 7.597 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 7.600 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (- 0) into 0 7.603 * [backup-simplify]: Simplify (+ 1 0) into 1 7.605 * [backup-simplify]: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 -1))) into PI 7.611 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 7.617 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 7.625 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 7.628 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.630 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.630 * [backup-simplify]: Simplify (- 0) into 0 7.630 * [backup-simplify]: Simplify (+ 0 0) into 0 7.631 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 7.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (- 0) into 0 7.634 * [backup-simplify]: Simplify (+ 0 0) into 0 7.635 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 7.636 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (/ 1 PI)) (/ 0 (* -1 PI))))) into 0 7.637 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 7.639 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.642 * [backup-simplify]: Simplify (- 0) into 0 7.642 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 7.647 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify (- 0) into 0 7.649 * [backup-simplify]: Simplify (+ 0 0) into 0 7.650 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 7.655 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (/ 1 PI)) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 7.678 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 7.704 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 7.718 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 7.741 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI))))) (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6)))))))) 7.741 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 7.741 * [backup-simplify]: Simplify (* 6 (* v v)) into (* 6 (pow v 2)) 7.741 * [approximate]: Taking taylor expansion of (* 6 (pow v 2)) in (v) around 0 7.741 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.741 * [taylor]: Taking taylor expansion of 6 in v 7.741 * [backup-simplify]: Simplify 6 into 6 7.741 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.741 * [taylor]: Taking taylor expansion of v in v 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.741 * [taylor]: Taking taylor expansion of 6 in v 7.741 * [backup-simplify]: Simplify 6 into 6 7.741 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.741 * [taylor]: Taking taylor expansion of v in v 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (* 1 1) into 1 7.742 * [backup-simplify]: Simplify (* 6 1) into 6 7.742 * [backup-simplify]: Simplify 6 into 6 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.746 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.750 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.750 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.753 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.757 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) 7.757 * [backup-simplify]: Simplify (* 6 (* (/ 1 v) (/ 1 v))) into (/ 6 (pow v 2)) 7.757 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 7.757 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 7.757 * [taylor]: Taking taylor expansion of 6 in v 7.757 * [backup-simplify]: Simplify 6 into 6 7.757 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.757 * [taylor]: Taking taylor expansion of v in v 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (* 1 1) into 1 7.758 * [backup-simplify]: Simplify (/ 6 1) into 6 7.758 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 7.758 * [taylor]: Taking taylor expansion of 6 in v 7.758 * [backup-simplify]: Simplify 6 into 6 7.758 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.758 * [taylor]: Taking taylor expansion of v in v 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.759 * [backup-simplify]: Simplify (/ 6 1) into 6 7.759 * [backup-simplify]: Simplify 6 into 6 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) 7.768 * [backup-simplify]: Simplify (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 6 (pow v 2)) 7.768 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 7.768 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 7.768 * [taylor]: Taking taylor expansion of 6 in v 7.768 * [backup-simplify]: Simplify 6 into 6 7.768 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.768 * [taylor]: Taking taylor expansion of v in v 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [backup-simplify]: Simplify (* 1 1) into 1 7.768 * [backup-simplify]: Simplify (/ 6 1) into 6 7.768 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 7.768 * [taylor]: Taking taylor expansion of 6 in v 7.768 * [backup-simplify]: Simplify 6 into 6 7.768 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.768 * [taylor]: Taking taylor expansion of v in v 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (* 1 1) into 1 7.769 * [backup-simplify]: Simplify (/ 6 1) into 6 7.769 * [backup-simplify]: Simplify 6 into 6 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.771 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.774 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) 7.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.778 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) into (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) 7.778 * [approximate]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in (v) around 0 7.778 * [taylor]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in v 7.778 * [taylor]: Taking taylor expansion of 3 in v 7.778 * [backup-simplify]: Simplify 3 into 3 7.778 * [taylor]: Taking taylor expansion of (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2))))) in v 7.778 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.778 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.778 * [taylor]: Taking taylor expansion of 1 in v 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.778 * [taylor]: Taking taylor expansion of v in v 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of PI in v 7.778 * [backup-simplify]: Simplify PI into PI 7.778 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 7.778 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.778 * [taylor]: Taking taylor expansion of 2 in v 7.778 * [backup-simplify]: Simplify 2 into 2 7.778 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.778 * [taylor]: Taking taylor expansion of 6 in v 7.778 * [backup-simplify]: Simplify 6 into 6 7.778 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.778 * [taylor]: Taking taylor expansion of v in v 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.779 * [backup-simplify]: Simplify (+ 2 0) into 2 7.779 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.779 * [taylor]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in v 7.779 * [taylor]: Taking taylor expansion of 3 in v 7.780 * [backup-simplify]: Simplify 3 into 3 7.780 * [taylor]: Taking taylor expansion of (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2))))) in v 7.780 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.780 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.780 * [taylor]: Taking taylor expansion of 1 in v 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.780 * [taylor]: Taking taylor expansion of v in v 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of PI in v 7.780 * [backup-simplify]: Simplify PI into PI 7.780 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 7.780 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.780 * [taylor]: Taking taylor expansion of 2 in v 7.780 * [backup-simplify]: Simplify 2 into 2 7.780 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.780 * [taylor]: Taking taylor expansion of 6 in v 7.780 * [backup-simplify]: Simplify 6 into 6 7.780 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.780 * [taylor]: Taking taylor expansion of v in v 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (+ 2 0) into 2 7.780 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.781 * [backup-simplify]: Simplify (+ 1 0) into 1 7.782 * [backup-simplify]: Simplify (* 1 PI) into PI 7.782 * [backup-simplify]: Simplify (* PI (sqrt 2)) into (* (sqrt 2) PI) 7.783 * [backup-simplify]: Simplify (* 3 (* (sqrt 2) PI)) into (* 3 (* (sqrt 2) PI)) 7.784 * [backup-simplify]: Simplify (* 3 (* (sqrt 2) PI)) into (* 3 (* (sqrt 2) PI)) 7.784 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 7.785 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 2))) into 0 7.786 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* (sqrt 2) PI))) into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (* 1 1) into 1 7.786 * [backup-simplify]: Simplify (* 6 1) into 6 7.787 * [backup-simplify]: Simplify (- 6) into -6 7.787 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.788 * [backup-simplify]: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) 7.789 * [backup-simplify]: Simplify (* 1 1) into 1 7.789 * [backup-simplify]: Simplify (- 1) into -1 7.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 7.794 * [backup-simplify]: Simplify (+ (* PI (/ -3 (sqrt 2))) (+ (* 0 0) (* (- PI) (sqrt 2)))) into (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI))) 7.803 * [backup-simplify]: Simplify (+ (* 3 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))) into (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) 7.809 * [backup-simplify]: Simplify (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) into (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.811 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.811 * [backup-simplify]: Simplify (- 0) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.814 * [backup-simplify]: Simplify (- 0) into 0 7.814 * [backup-simplify]: Simplify (+ 0 0) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- PI) 0) (* 0 (sqrt 2))))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.823 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.824 * [backup-simplify]: Simplify (- 0) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) 7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.832 * [backup-simplify]: Simplify (- 0) into 0 7.832 * [backup-simplify]: Simplify (+ 0 0) into 0 7.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 7.847 * [backup-simplify]: Simplify (+ (* PI (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 3 (/ PI (sqrt 2))) (* 9/2 (/ PI (pow (sqrt 2) 3)))) 7.863 * [backup-simplify]: Simplify (+ (* 3 (- (* 3 (/ PI (sqrt 2))) (* 9/2 (/ PI (pow (sqrt 2) 3))))) (+ (* 0 0) (+ (* 0 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) 7.870 * [backup-simplify]: Simplify (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) 7.885 * [backup-simplify]: Simplify (+ (* (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (pow v 4)) (+ (* (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) (pow v 2)) (* 3 (* (sqrt 2) PI)))) into (- (+ (* 3 (* (sqrt 2) PI)) (* 9 (/ (* (pow v 4) PI) (sqrt 2)))) (+ (* 27/2 (/ (* (pow v 4) PI) (pow (sqrt 2) 3))) (+ (* 3 (* (sqrt 2) (* (pow v 2) PI))) (* 9 (/ (* (pow v 2) PI) (sqrt 2)))))) 7.885 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) into (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) 7.886 * [approximate]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in (v) around 0 7.886 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 7.886 * [taylor]: Taking taylor expansion of 3 in v 7.886 * [backup-simplify]: Simplify 3 into 3 7.886 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 7.886 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.886 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.886 * [taylor]: Taking taylor expansion of 2 in v 7.886 * [backup-simplify]: Simplify 2 into 2 7.886 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.886 * [taylor]: Taking taylor expansion of 6 in v 7.886 * [backup-simplify]: Simplify 6 into 6 7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.886 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.886 * [taylor]: Taking taylor expansion of v in v 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (* 1 1) into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.887 * [backup-simplify]: Simplify (* 6 1) into 6 7.888 * [backup-simplify]: Simplify (- 6) into -6 7.888 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.888 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.891 * [backup-simplify]: Simplify (- 0) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 7.892 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 7.892 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.892 * [taylor]: Taking taylor expansion of 1 in v 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.892 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.892 * [taylor]: Taking taylor expansion of v in v 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [taylor]: Taking taylor expansion of PI in v 7.893 * [backup-simplify]: Simplify PI into PI 7.893 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 7.893 * [taylor]: Taking taylor expansion of 3 in v 7.893 * [backup-simplify]: Simplify 3 into 3 7.893 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 7.893 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.893 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.893 * [taylor]: Taking taylor expansion of 2 in v 7.893 * [backup-simplify]: Simplify 2 into 2 7.893 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.893 * [taylor]: Taking taylor expansion of 6 in v 7.894 * [backup-simplify]: Simplify 6 into 6 7.894 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.894 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.894 * [taylor]: Taking taylor expansion of v in v 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [backup-simplify]: Simplify (* 6 1) into 6 7.895 * [backup-simplify]: Simplify (- 6) into -6 7.896 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.896 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.899 * [backup-simplify]: Simplify (- 0) into 0 7.899 * [backup-simplify]: Simplify (+ 0 0) into 0 7.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 7.900 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 7.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.900 * [taylor]: Taking taylor expansion of 1 in v 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.900 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.900 * [taylor]: Taking taylor expansion of v in v 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (* 1 1) into 1 7.901 * [backup-simplify]: Simplify (/ 1 1) into 1 7.901 * [taylor]: Taking taylor expansion of PI in v 7.901 * [backup-simplify]: Simplify PI into PI 7.901 * [backup-simplify]: Simplify (- 1) into -1 7.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.902 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 7.904 * [backup-simplify]: Simplify (* (sqrt -6) (* -1 PI)) into (* -1 (* (sqrt -6) PI)) 7.906 * [backup-simplify]: Simplify (* 3 (* -1 (* (sqrt -6) PI))) into (* -3 (* (sqrt -6) PI)) 7.908 * [backup-simplify]: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- 0) into 0 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 7.912 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (* 0 (* -1 PI))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* -1 (* (sqrt -6) PI)))) into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify (+ 1 0) into 1 7.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify (+ 2 0) into 2 7.926 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 7.932 * [backup-simplify]: Simplify (+ (* (sqrt -6) PI) (+ (* 0 0) (* (/ 1 (sqrt -6)) (* -1 PI)))) into (- (* (sqrt -6) PI) (/ PI (sqrt -6))) 7.939 * [backup-simplify]: Simplify (+ (* 3 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 7.944 * [backup-simplify]: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (- 0) into 0 7.947 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (- 0) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 7.955 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 PI) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (* -1 PI))))) into 0 7.958 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI)))))) into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (- 0) into 0 7.961 * [backup-simplify]: Simplify (+ 0 0) into 0 7.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.964 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.964 * [backup-simplify]: Simplify (- 0) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.968 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 7.977 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) PI) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (* -1 PI)))))) into (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6))) 7.984 * [backup-simplify]: Simplify (+ (* 3 (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6)))) (+ (* 0 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 7.989 * [backup-simplify]: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 7.996 * [backup-simplify]: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 v)) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 v))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 3 (* v (* (sqrt -6) PI))) (+ (* 3 (/ PI (* v (sqrt -6)))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3)))))) (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI))))) 7.997 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) into (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) 7.997 * [approximate]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in (v) around 0 7.997 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 7.997 * [taylor]: Taking taylor expansion of 3 in v 7.997 * [backup-simplify]: Simplify 3 into 3 7.997 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 7.997 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.997 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.997 * [taylor]: Taking taylor expansion of 2 in v 7.997 * [backup-simplify]: Simplify 2 into 2 7.997 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.997 * [taylor]: Taking taylor expansion of 6 in v 7.997 * [backup-simplify]: Simplify 6 into 6 7.997 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.997 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.997 * [taylor]: Taking taylor expansion of v in v 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.998 * [backup-simplify]: Simplify (/ 1 1) into 1 7.999 * [backup-simplify]: Simplify (* 6 1) into 6 7.999 * [backup-simplify]: Simplify (- 6) into -6 7.999 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.000 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.002 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.003 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.003 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.003 * [taylor]: Taking taylor expansion of 1 in v 8.003 * [backup-simplify]: Simplify 1 into 1 8.003 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.003 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.003 * [taylor]: Taking taylor expansion of v in v 8.003 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify 1 into 1 8.004 * [backup-simplify]: Simplify (* 1 1) into 1 8.004 * [backup-simplify]: Simplify (/ 1 1) into 1 8.004 * [taylor]: Taking taylor expansion of PI in v 8.004 * [backup-simplify]: Simplify PI into PI 8.004 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 8.004 * [taylor]: Taking taylor expansion of 3 in v 8.004 * [backup-simplify]: Simplify 3 into 3 8.004 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 8.004 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.004 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.004 * [taylor]: Taking taylor expansion of 2 in v 8.004 * [backup-simplify]: Simplify 2 into 2 8.004 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.005 * [taylor]: Taking taylor expansion of 6 in v 8.005 * [backup-simplify]: Simplify 6 into 6 8.005 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.005 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.005 * [taylor]: Taking taylor expansion of v in v 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.005 * [backup-simplify]: Simplify (* 1 1) into 1 8.005 * [backup-simplify]: Simplify (/ 1 1) into 1 8.006 * [backup-simplify]: Simplify (* 6 1) into 6 8.006 * [backup-simplify]: Simplify (- 6) into -6 8.007 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.007 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.010 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.010 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.010 * [taylor]: Taking taylor expansion of 1 in v 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.011 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.011 * [taylor]: Taking taylor expansion of v in v 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [backup-simplify]: Simplify (* 1 1) into 1 8.011 * [backup-simplify]: Simplify (/ 1 1) into 1 8.011 * [taylor]: Taking taylor expansion of PI in v 8.011 * [backup-simplify]: Simplify PI into PI 8.012 * [backup-simplify]: Simplify (- 1) into -1 8.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.013 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.014 * [backup-simplify]: Simplify (* (sqrt -6) (* -1 PI)) into (* -1 (* (sqrt -6) PI)) 8.016 * [backup-simplify]: Simplify (* 3 (* -1 (* (sqrt -6) PI))) into (* -3 (* (sqrt -6) PI)) 8.018 * [backup-simplify]: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) 8.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- 0) into 0 8.020 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.022 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (* 0 (* -1 PI))) into 0 8.023 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* -1 (* (sqrt -6) PI)))) into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (- 0) into 0 8.026 * [backup-simplify]: Simplify (+ 1 0) into 1 8.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.032 * [backup-simplify]: Simplify (- 0) into 0 8.033 * [backup-simplify]: Simplify (+ 2 0) into 2 8.036 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 8.042 * [backup-simplify]: Simplify (+ (* (sqrt -6) PI) (+ (* 0 0) (* (/ 1 (sqrt -6)) (* -1 PI)))) into (- (* (sqrt -6) PI) (/ PI (sqrt -6))) 8.046 * [backup-simplify]: Simplify (+ (* 3 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.049 * [backup-simplify]: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (- 0) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 8.055 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 PI) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (* -1 PI))))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI)))))) into 0 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- 0) into 0 8.058 * [backup-simplify]: Simplify (+ 0 0) into 0 8.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.061 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.061 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 8.074 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) PI) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (* -1 PI)))))) into (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6))) 8.083 * [backup-simplify]: Simplify (+ (* 3 (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6)))) (+ (* 0 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.089 * [backup-simplify]: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.102 * [backup-simplify]: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 (- v))) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 (- v)))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 3 (/ PI (* v (sqrt -6)))) (+ (* 3 (* v (* (sqrt -6) PI))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3))))))) 8.103 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 8.103 * [backup-simplify]: Simplify (- 2 (* 6 (* v v))) into (- 2 (* 6 (pow v 2))) 8.103 * [approximate]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in (v) around 0 8.103 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.103 * [taylor]: Taking taylor expansion of 2 in v 8.103 * [backup-simplify]: Simplify 2 into 2 8.103 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.103 * [taylor]: Taking taylor expansion of 6 in v 8.103 * [backup-simplify]: Simplify 6 into 6 8.103 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.103 * [taylor]: Taking taylor expansion of v in v 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.103 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.103 * [taylor]: Taking taylor expansion of 2 in v 8.103 * [backup-simplify]: Simplify 2 into 2 8.103 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.103 * [taylor]: Taking taylor expansion of 6 in v 8.103 * [backup-simplify]: Simplify 6 into 6 8.103 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.103 * [taylor]: Taking taylor expansion of v in v 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (+ 2 0) into 2 8.104 * [backup-simplify]: Simplify 2 into 2 8.104 * [backup-simplify]: Simplify (+ 0 0) into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify (* 1 1) into 1 8.105 * [backup-simplify]: Simplify (* 6 1) into 6 8.105 * [backup-simplify]: Simplify (- 6) into -6 8.106 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.106 * [backup-simplify]: Simplify -6 into -6 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.107 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.107 * [backup-simplify]: Simplify (- 0) into 0 8.108 * [backup-simplify]: Simplify (+ 0 0) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (- 0) into 0 8.110 * [backup-simplify]: Simplify (+ 0 0) into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.117 * [backup-simplify]: Simplify (+ 0 0) into 0 8.117 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.120 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.121 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.124 * [backup-simplify]: Simplify (- 0) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify (+ (* -6 (pow v 2)) 2) into (- 2 (* 6 (pow v 2))) 8.125 * [backup-simplify]: Simplify (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) into (- 2 (* 6 (/ 1 (pow v 2)))) 8.125 * [approximate]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in (v) around 0 8.125 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.125 * [taylor]: Taking taylor expansion of 2 in v 8.125 * [backup-simplify]: Simplify 2 into 2 8.125 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.125 * [taylor]: Taking taylor expansion of 6 in v 8.125 * [backup-simplify]: Simplify 6 into 6 8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.125 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.125 * [taylor]: Taking taylor expansion of v in v 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (* 1 1) into 1 8.126 * [backup-simplify]: Simplify (/ 1 1) into 1 8.126 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.126 * [taylor]: Taking taylor expansion of 2 in v 8.126 * [backup-simplify]: Simplify 2 into 2 8.126 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.126 * [taylor]: Taking taylor expansion of 6 in v 8.126 * [backup-simplify]: Simplify 6 into 6 8.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.126 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.126 * [taylor]: Taking taylor expansion of v in v 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (* 1 1) into 1 8.127 * [backup-simplify]: Simplify (/ 1 1) into 1 8.127 * [backup-simplify]: Simplify (* 6 1) into 6 8.128 * [backup-simplify]: Simplify (- 6) into -6 8.128 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.128 * [backup-simplify]: Simplify -6 into -6 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.131 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.135 * [backup-simplify]: Simplify (+ 2 0) into 2 8.135 * [backup-simplify]: Simplify 2 into 2 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.139 * [backup-simplify]: Simplify (+ 0 0) into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.143 * [backup-simplify]: Simplify (- 0) into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.143 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.147 * [backup-simplify]: Simplify (- 0) into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.153 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.157 * [backup-simplify]: Simplify (- 0) into 0 8.158 * [backup-simplify]: Simplify (+ 0 0) into 0 8.158 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.163 * [backup-simplify]: Simplify (- 0) into 0 8.163 * [backup-simplify]: Simplify (+ 0 0) into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (+ 2 (* -6 (pow (/ 1 (/ 1 v)) 2))) into (- 2 (* 6 (pow v 2))) 8.164 * [backup-simplify]: Simplify (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) into (- 2 (* 6 (/ 1 (pow v 2)))) 8.164 * [approximate]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in (v) around 0 8.164 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.164 * [taylor]: Taking taylor expansion of 2 in v 8.164 * [backup-simplify]: Simplify 2 into 2 8.164 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.164 * [taylor]: Taking taylor expansion of 6 in v 8.164 * [backup-simplify]: Simplify 6 into 6 8.164 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.164 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.164 * [taylor]: Taking taylor expansion of v in v 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 1 into 1 8.164 * [backup-simplify]: Simplify (* 1 1) into 1 8.165 * [backup-simplify]: Simplify (/ 1 1) into 1 8.165 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.165 * [taylor]: Taking taylor expansion of 2 in v 8.165 * [backup-simplify]: Simplify 2 into 2 8.165 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.165 * [taylor]: Taking taylor expansion of 6 in v 8.165 * [backup-simplify]: Simplify 6 into 6 8.165 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.165 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.165 * [taylor]: Taking taylor expansion of v in v 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (* 1 1) into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.166 * [backup-simplify]: Simplify (* 6 1) into 6 8.167 * [backup-simplify]: Simplify (- 6) into -6 8.167 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.167 * [backup-simplify]: Simplify -6 into -6 8.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.168 * [backup-simplify]: Simplify (- 0) into 0 8.169 * [backup-simplify]: Simplify (+ 0 0) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.170 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (- 0) into 0 8.171 * [backup-simplify]: Simplify (+ 2 0) into 2 8.171 * [backup-simplify]: Simplify 2 into 2 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (- 0) into 0 8.173 * [backup-simplify]: Simplify (+ 0 0) into 0 8.173 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.175 * [backup-simplify]: Simplify (- 0) into 0 8.176 * [backup-simplify]: Simplify (+ 0 0) into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.178 * [backup-simplify]: Simplify (- 0) into 0 8.178 * [backup-simplify]: Simplify (+ 0 0) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.181 * [backup-simplify]: Simplify (- 0) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.184 * [backup-simplify]: Simplify (- 0) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.187 * [backup-simplify]: Simplify (- 0) into 0 8.187 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (+ 2 (* -6 (pow (/ 1 (/ 1 (- v))) 2))) into (- 2 (* 6 (pow v 2))) 8.187 * * * [progress]: simplifying candidates 8.187 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 8.187 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 8.188 * [simplify]: Simplifying (- (log 4) (+ (+ (+ (log 3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) 8.188 * * [simplify]: iters left: 6 (21 enodes) 8.194 * * [simplify]: iters left: 5 (83 enodes) 8.211 * * [simplify]: iters left: 4 (154 enodes) 8.266 * * [simplify]: iters left: 3 (317 enodes) 8.391 * * [simplify]: Extracting #0: cost 1 inf + 0 8.392 * * [simplify]: Extracting #1: cost 83 inf + 0 8.392 * * [simplify]: Extracting #2: cost 163 inf + 0 8.393 * * [simplify]: Extracting #3: cost 162 inf + 620 8.394 * * [simplify]: Extracting #4: cost 153 inf + 3218 8.395 * * [simplify]: Extracting #5: cost 157 inf + 3261 8.396 * * [simplify]: Extracting #6: cost 134 inf + 7842 8.399 * * [simplify]: Extracting #7: cost 97 inf + 19249 8.412 * * [simplify]: Extracting #8: cost 19 inf + 59051 8.441 * * [simplify]: Extracting #9: cost 0 inf + 68678 8.459 * [simplify]: Simplified to (- (- (log 4) (log PI)) (+ (log (sqrt (- 2 (* 6 (* v v))))) (+ (log 3) (log (- 1 (* v v)))))) 8.459 * [simplify]: Simplified (2 1) to (λ (v) (exp (- (- (log 4) (log PI)) (+ (log (sqrt (- 2 (* 6 (* v v))))) (+ (log 3) (log (- 1 (* v v)))))))) 8.460 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 8.460 * [simplify]: Simplifying (- (log 4) (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) 8.460 * * [simplify]: iters left: 6 (20 enodes) 8.466 * * [simplify]: iters left: 5 (81 enodes) 8.480 * * [simplify]: iters left: 4 (145 enodes) 8.508 * * [simplify]: iters left: 3 (278 enodes) 8.600 * * [simplify]: Extracting #0: cost 1 inf + 0 8.600 * * [simplify]: Extracting #1: cost 81 inf + 0 8.601 * * [simplify]: Extracting #2: cost 160 inf + 0 8.601 * * [simplify]: Extracting #3: cost 156 inf + 775 8.602 * * [simplify]: Extracting #4: cost 152 inf + 2215 8.603 * * [simplify]: Extracting #5: cost 153 inf + 2884 8.604 * * [simplify]: Extracting #6: cost 142 inf + 3584 8.606 * * [simplify]: Extracting #7: cost 124 inf + 6972 8.608 * * [simplify]: Extracting #8: cost 97 inf + 16591 8.618 * * [simplify]: Extracting #9: cost 36 inf + 45604 8.641 * * [simplify]: Extracting #10: cost 0 inf + 63993 8.657 * * [simplify]: Extracting #11: cost 0 inf + 63873 8.670 * [simplify]: Simplified to (- (- (log 4) (+ (log (- 1 (* v v))) (log (* 3 PI)))) (log (sqrt (+ (* (* v v) -6) 2)))) 8.670 * [simplify]: Simplified (2 1) to (λ (v) (exp (- (- (log 4) (+ (log (- 1 (* v v))) (log (* 3 PI)))) (log (sqrt (+ (* (* v v) -6) 2)))))) 8.671 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 8.671 * [simplify]: Simplifying (- (log 4) (+ (log (* (* 3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) 8.671 * * [simplify]: iters left: 6 (19 enodes) 8.677 * * [simplify]: iters left: 5 (78 enodes) 8.691 * * [simplify]: iters left: 4 (152 enodes) 8.729 * * [simplify]: iters left: 3 (299 enodes) 8.813 * * [simplify]: Extracting #0: cost 1 inf + 0 8.813 * * [simplify]: Extracting #1: cost 61 inf + 0 8.813 * * [simplify]: Extracting #2: cost 140 inf + 0 8.814 * * [simplify]: Extracting #3: cost 151 inf + 187 8.815 * * [simplify]: Extracting #4: cost 167 inf + 1557 8.816 * * [simplify]: Extracting #5: cost 152 inf + 5581 8.820 * * [simplify]: Extracting #6: cost 82 inf + 21545 8.828 * * [simplify]: Extracting #7: cost 26 inf + 42994 8.844 * * [simplify]: Extracting #8: cost 0 inf + 54961 8.858 * [simplify]: Simplified to (- (- (log 4) (log (* 3 (- PI (* PI (* v v)))))) (log (sqrt (+ 2 (* -6 (* v v)))))) 8.858 * [simplify]: Simplified (2 1) to (λ (v) (exp (- (- (log 4) (log (* 3 (- PI (* PI (* v v)))))) (log (sqrt (+ 2 (* -6 (* v v)))))))) 8.858 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 8.858 * [simplify]: Simplifying (- (log 4) (log (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) 8.859 * * [simplify]: iters left: 6 (18 enodes) 8.865 * * [simplify]: iters left: 5 (75 enodes) 8.882 * * [simplify]: iters left: 4 (157 enodes) 8.931 * * [simplify]: iters left: 3 (354 enodes) 9.059 * * [simplify]: Extracting #0: cost 1 inf + 0 9.059 * * [simplify]: Extracting #1: cost 44 inf + 0 9.059 * * [simplify]: Extracting #2: cost 109 inf + 0 9.060 * * [simplify]: Extracting #3: cost 141 inf + 145 9.061 * * [simplify]: Extracting #4: cost 204 inf + 890 9.064 * * [simplify]: Extracting #5: cost 181 inf + 5540 9.070 * * [simplify]: Extracting #6: cost 108 inf + 19192 9.433 * * [simplify]: Extracting #7: cost 16 inf + 48382 9.446 * * [simplify]: Extracting #8: cost 0 inf + 54072 9.458 * * [simplify]: Extracting #9: cost 0 inf + 53929 9.470 * [simplify]: Simplified to (- (log 4) (log (* (sqrt (- 2 (* 6 (* v v)))) (- (* 3 PI) (* (* v v) (* 3 PI)))))) 9.470 * [simplify]: Simplified (2 1) to (λ (v) (exp (- (log 4) (log (* (sqrt (- 2 (* 6 (* v v)))) (- (* 3 PI) (* (* v v) (* 3 PI)))))))) 9.470 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 9.470 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 9.470 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 9.470 * [simplify]: Simplifying (/ (* (* 4 4) 4) (* (* (* (* (* 3 3) 3) (* (* PI PI) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) 9.471 * * [simplify]: iters left: 6 (26 enodes) 9.489 * * [simplify]: iters left: 5 (116 enodes) 9.533 * * [simplify]: iters left: 4 (330 enodes) 9.743 * * [simplify]: Extracting #0: cost 1 inf + 0 9.743 * * [simplify]: Extracting #1: cost 114 inf + 0 9.744 * * [simplify]: Extracting #2: cost 430 inf + 8 9.746 * * [simplify]: Extracting #3: cost 569 inf + 1036 9.753 * * [simplify]: Extracting #4: cost 470 inf + 32085 9.804 * * [simplify]: Extracting #5: cost 168 inf + 116833 9.885 * * [simplify]: Extracting #6: cost 20 inf + 175149 9.946 * * [simplify]: Extracting #7: cost 0 inf + 183823 10.013 * [simplify]: Simplified to (/ (/ 64/27 (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* PI PI) PI))) (* (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))))) 10.013 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (/ (/ 64/27 (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* PI PI) PI))) (* (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))))))) 10.013 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 10.014 * [simplify]: Simplifying (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) 10.014 * * [simplify]: iters left: 6 (24 enodes) 10.032 * * [simplify]: iters left: 5 (113 enodes) 10.078 * * [simplify]: iters left: 4 (338 enodes) 10.291 * * [simplify]: Extracting #0: cost 1 inf + 0 10.291 * * [simplify]: Extracting #1: cost 110 inf + 0 10.293 * * [simplify]: Extracting #2: cost 434 inf + 5 10.295 * * [simplify]: Extracting #3: cost 571 inf + 4235 10.302 * * [simplify]: Extracting #4: cost 484 inf + 34697 10.320 * * [simplify]: Extracting #5: cost 276 inf + 82772 10.379 * * [simplify]: Extracting #6: cost 160 inf + 117462 10.430 * * [simplify]: Extracting #7: cost 13 inf + 174169 10.484 * * [simplify]: Extracting #8: cost 0 inf + 179447 10.546 * [simplify]: Simplified to (/ 64 (* (* (+ (* -6 (* v v)) 2) (* (* 3 (* PI (- 1 (* v v)))) (* (* 3 (* PI (- 1 (* v v)))) (* 3 (* PI (- 1 (* v v))))))) (sqrt (+ (* -6 (* v v)) 2)))) 10.546 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (/ 64 (* (* (+ (* -6 (* v v)) 2) (* (* 3 (* PI (- 1 (* v v)))) (* (* 3 (* PI (- 1 (* v v)))) (* 3 (* PI (- 1 (* v v))))))) (sqrt (+ (* -6 (* v v)) 2)))))) 10.547 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 10.547 * [simplify]: Simplifying (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) 10.547 * * [simplify]: iters left: 6 (22 enodes) 10.555 * * [simplify]: iters left: 5 (102 enodes) 10.602 * * [simplify]: iters left: 4 (381 enodes) 10.911 * * [simplify]: Extracting #0: cost 1 inf + 0 10.912 * * [simplify]: Extracting #1: cost 130 inf + 0 10.914 * * [simplify]: Extracting #2: cost 526 inf + 4 10.921 * * [simplify]: Extracting #3: cost 709 inf + 1877 10.927 * * [simplify]: Extracting #4: cost 690 inf + 3361 10.934 * * [simplify]: Extracting #5: cost 658 inf + 7253 10.966 * * [simplify]: Extracting #6: cost 368 inf + 89160 11.028 * * [simplify]: Extracting #7: cost 34 inf + 208576 11.114 * * [simplify]: Extracting #8: cost 0 inf + 220955 11.194 * * [simplify]: Extracting #9: cost 0 inf + 220875 11.260 * [simplify]: Simplified to (/ (/ (/ 64/3 (* PI (- 1 (* v v)))) (* (sqrt (+ 2 (* v (* -6 v)))) (* (* (* PI (- 1 (* v v))) (* PI (- 1 (* v v)))) 9))) (+ 2 (* v (* -6 v)))) 11.260 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (/ (/ (/ 64/3 (* PI (- 1 (* v v)))) (* (sqrt (+ 2 (* v (* -6 v)))) (* (* (* PI (- 1 (* v v))) (* PI (- 1 (* v v)))) 9))) (+ 2 (* v (* -6 v)))))) 11.260 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 11.260 * [simplify]: Simplifying (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) 11.261 * * [simplify]: iters left: 6 (20 enodes) 11.267 * * [simplify]: iters left: 5 (95 enodes) 11.290 * * [simplify]: iters left: 4 (319 enodes) 11.659 * * [simplify]: Extracting #0: cost 1 inf + 0 11.660 * * [simplify]: Extracting #1: cost 251 inf + 0 11.663 * * [simplify]: Extracting #2: cost 663 inf + 5 11.669 * * [simplify]: Extracting #3: cost 753 inf + 1341 11.676 * * [simplify]: Extracting #4: cost 740 inf + 2258 11.684 * * [simplify]: Extracting #5: cost 695 inf + 7733 11.710 * * [simplify]: Extracting #6: cost 495 inf + 65278 11.804 * * [simplify]: Extracting #7: cost 78 inf + 219183 11.905 * * [simplify]: Extracting #8: cost 0 inf + 250691 11.967 * [simplify]: Simplified to (/ 64 (* (* (* (* (- 1 (* v v)) (* 3 PI)) (* (- 1 (* v v)) (* 3 PI))) (* (+ (* -6 (* v v)) 2) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (* 3 PI)))) 11.967 * [simplify]: Simplified (2 1) to (λ (v) (cbrt (/ 64 (* (* (* (* (- 1 (* v v)) (* 3 PI)) (* (- 1 (* v v)) (* 3 PI))) (* (+ (* -6 (* v v)) 2) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (* 3 PI)))))) 11.968 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 11.968 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 11.968 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 11.968 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 11.968 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 11.968 * [simplify]: Simplifying (/ (* (cbrt 4) (cbrt 4)) (* (* 3 PI) (- 1 (* v v)))) 11.968 * * [simplify]: iters left: 6 (12 enodes) 11.972 * * [simplify]: iters left: 5 (51 enodes) 11.984 * * [simplify]: iters left: 4 (114 enodes) 12.035 * * [simplify]: iters left: 3 (267 enodes) 12.156 * * [simplify]: Extracting #0: cost 1 inf + 0 12.157 * * [simplify]: Extracting #1: cost 39 inf + 0 12.157 * * [simplify]: Extracting #2: cost 101 inf + 45 12.157 * * [simplify]: Extracting #3: cost 118 inf + 1676 12.158 * * [simplify]: Extracting #4: cost 104 inf + 4570 12.162 * * [simplify]: Extracting #5: cost 21 inf + 18702 12.167 * * [simplify]: Extracting #6: cost 0 inf + 23001 12.172 * [simplify]: Simplified to (/ (/ (* (cbrt 4) (cbrt 4)) 3) (- PI (* (* v PI) v))) 12.172 * [simplify]: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt 4) (cbrt 4)) 3) (- PI (* (* v PI) v))) (/ (cbrt 4) (sqrt (- 2 (* 6 (* v v))))))) 12.172 * [simplify]: Simplifying (/ (cbrt 4) (sqrt (- 2 (* 6 (* v v))))) 12.172 * * [simplify]: iters left: 6 (10 enodes) 12.176 * * [simplify]: iters left: 5 (35 enodes) 12.182 * * [simplify]: iters left: 4 (53 enodes) 12.191 * * [simplify]: iters left: 3 (71 enodes) 12.208 * * [simplify]: Extracting #0: cost 1 inf + 0 12.208 * * [simplify]: Extracting #1: cost 4 inf + 0 12.208 * * [simplify]: Extracting #2: cost 8 inf + 0 12.208 * * [simplify]: Extracting #3: cost 11 inf + 1 12.208 * * [simplify]: Extracting #4: cost 18 inf + 164 12.208 * * [simplify]: Extracting #5: cost 17 inf + 291 12.209 * * [simplify]: Extracting #6: cost 3 inf + 1682 12.210 * * [simplify]: Extracting #7: cost 0 inf + 2129 12.211 * [simplify]: Simplified to (/ (cbrt 4) (sqrt (- 2 (* 6 (* v v))))) 12.211 * [simplify]: Simplified (2 2) to (λ (v) (* (/ (* (cbrt 4) (cbrt 4)) (* (* 3 PI) (- 1 (* v v)))) (/ (cbrt 4) (sqrt (- 2 (* 6 (* v v))))))) 12.211 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 12.211 * [simplify]: Simplifying (/ (sqrt 4) (* (* 3 PI) (- 1 (* v v)))) 12.211 * * [simplify]: iters left: 6 (11 enodes) 12.218 * * [simplify]: iters left: 5 (44 enodes) 12.234 * * [simplify]: iters left: 4 (86 enodes) 12.269 * * [simplify]: iters left: 3 (160 enodes) 12.327 * * [simplify]: iters left: 2 (292 enodes) 12.413 * * [simplify]: iters left: 1 (409 enodes) 12.533 * * [simplify]: Extracting #0: cost 1 inf + 0 12.533 * * [simplify]: Extracting #1: cost 20 inf + 0 12.533 * * [simplify]: Extracting #2: cost 33 inf + 47 12.534 * * [simplify]: Extracting #3: cost 48 inf + 382 12.534 * * [simplify]: Extracting #4: cost 39 inf + 1534 12.537 * * [simplify]: Extracting #5: cost 3 inf + 5061 12.542 * * [simplify]: Extracting #6: cost 0 inf + 5264 12.546 * [simplify]: Simplified to (/ 2/3 (- PI (* v (* PI v)))) 12.546 * [simplify]: Simplified (2 1) to (λ (v) (* (/ 2/3 (- PI (* v (* PI v)))) (/ (sqrt 4) (sqrt (- 2 (* 6 (* v v))))))) 12.547 * [simplify]: Simplifying (/ (sqrt 4) (sqrt (- 2 (* 6 (* v v))))) 12.547 * * [simplify]: iters left: 6 (10 enodes) 12.553 * * [simplify]: iters left: 5 (35 enodes) 12.562 * * [simplify]: iters left: 4 (53 enodes) 12.571 * * [simplify]: iters left: 3 (71 enodes) 12.582 * * [simplify]: Extracting #0: cost 1 inf + 0 12.583 * * [simplify]: Extracting #1: cost 4 inf + 0 12.583 * * [simplify]: Extracting #2: cost 5 inf + 1 12.583 * * [simplify]: Extracting #3: cost 8 inf + 1 12.583 * * [simplify]: Extracting #4: cost 18 inf + 1 12.583 * * [simplify]: Extracting #5: cost 16 inf + 209 12.583 * * [simplify]: Extracting #6: cost 2 inf + 1519 12.583 * * [simplify]: Extracting #7: cost 0 inf + 1804 12.584 * [simplify]: Simplified to (/ 2 (sqrt (- 2 (* 6 (* v v))))) 12.584 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 2/3 (- PI (* v (* PI v)))) (/ 2 (sqrt (- 2 (* 6 (* v v))))))) 12.584 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 12.584 * [simplify]: Simplifying (/ 1 (* (* 3 PI) (- 1 (* v v)))) 12.584 * * [simplify]: iters left: 6 (9 enodes) 12.587 * * [simplify]: iters left: 5 (37 enodes) 12.600 * * [simplify]: iters left: 4 (75 enodes) 12.627 * * [simplify]: iters left: 3 (138 enodes) 12.653 * * [simplify]: iters left: 2 (255 enodes) 12.712 * * [simplify]: iters left: 1 (375 enodes) 12.831 * * [simplify]: Extracting #0: cost 1 inf + 0 12.832 * * [simplify]: Extracting #1: cost 10 inf + 0 12.832 * * [simplify]: Extracting #2: cost 24 inf + 2 12.832 * * [simplify]: Extracting #3: cost 44 inf + 88 12.832 * * [simplify]: Extracting #4: cost 32 inf + 1693 12.834 * * [simplify]: Extracting #5: cost 1 inf + 4485 12.836 * * [simplify]: Extracting #6: cost 0 inf + 4523 12.838 * * [simplify]: Extracting #7: cost 0 inf + 4522 12.840 * [simplify]: Simplified to (/ 1/3 (- PI (* PI (* v v)))) 12.840 * [simplify]: Simplified (2 1) to (λ (v) (* (/ 1/3 (- PI (* PI (* v v)))) (/ 4 (sqrt (- 2 (* 6 (* v v))))))) 12.841 * [simplify]: Simplifying (/ 4 (sqrt (- 2 (* 6 (* v v))))) 12.841 * * [simplify]: iters left: 6 (9 enodes) 12.845 * * [simplify]: iters left: 5 (32 enodes) 12.850 * * [simplify]: iters left: 4 (50 enodes) 12.859 * * [simplify]: iters left: 3 (68 enodes) 12.870 * * [simplify]: Extracting #0: cost 1 inf + 0 12.870 * * [simplify]: Extracting #1: cost 4 inf + 0 12.870 * * [simplify]: Extracting #2: cost 5 inf + 1 12.870 * * [simplify]: Extracting #3: cost 9 inf + 1 12.870 * * [simplify]: Extracting #4: cost 18 inf + 2 12.870 * * [simplify]: Extracting #5: cost 19 inf + 47 12.870 * * [simplify]: Extracting #6: cost 14 inf + 295 12.870 * * [simplify]: Extracting #7: cost 2 inf + 1521 12.871 * * [simplify]: Extracting #8: cost 0 inf + 1807 12.872 * [simplify]: Simplified to (/ 4 (sqrt (- 2 (* v (* 6 v))))) 12.872 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 1/3 (- PI (* PI (* v v)))) (/ 4 (sqrt (- 2 (* v (* 6 v))))))) 12.872 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 12.872 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 12.872 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 12.872 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 12.872 * [simplify]: Simplifying (sqrt (- 2 (* 6 (* v v)))) 12.872 * * [simplify]: iters left: 6 (7 enodes) 12.877 * * [simplify]: iters left: 5 (26 enodes) 12.886 * * [simplify]: iters left: 4 (44 enodes) 12.899 * * [simplify]: iters left: 3 (62 enodes) 12.917 * * [simplify]: Extracting #0: cost 1 inf + 0 12.917 * * [simplify]: Extracting #1: cost 3 inf + 0 12.917 * * [simplify]: Extracting #2: cost 7 inf + 0 12.917 * * [simplify]: Extracting #3: cost 16 inf + 1 12.917 * * [simplify]: Extracting #4: cost 12 inf + 413 12.918 * * [simplify]: Extracting #5: cost 4 inf + 947 12.918 * * [simplify]: Extracting #6: cost 1 inf + 1235 12.918 * * [simplify]: Extracting #7: cost 0 inf + 1398 12.919 * [simplify]: Simplified to (sqrt (- 2 (* (* v v) 6))) 12.919 * [simplify]: Simplified (2 2) to (λ (v) (/ (/ 4 (* (* 3 PI) (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) 12.919 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 12.919 * [simplify]: Simplifying (* (cbrt 4) (cbrt 4)) 12.919 * * [simplify]: iters left: 3 (3 enodes) 12.920 * * [simplify]: iters left: 2 (9 enodes) 12.922 * * [simplify]: Extracting #0: cost 1 inf + 0 12.922 * * [simplify]: Extracting #1: cost 3 inf + 0 12.922 * * [simplify]: Extracting #2: cost 5 inf + 0 12.922 * * [simplify]: Extracting #3: cost 4 inf + 1 12.922 * * [simplify]: Extracting #4: cost 0 inf + 405 12.922 * [simplify]: Simplified to (* (cbrt 4) (cbrt 4)) 12.922 * [simplify]: Simplified (2 1) to (λ (v) (/ (* (cbrt 4) (cbrt 4)) (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (cbrt 4)))) 12.922 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 12.923 * [simplify]: Simplifying (sqrt 4) 12.923 * * [simplify]: iters left: 1 (2 enodes) 12.924 * * [simplify]: Extracting #0: cost 1 inf + 0 12.924 * * [simplify]: Extracting #1: cost 0 inf + 1 12.924 * [simplify]: Simplified to 2 12.924 * [simplify]: Simplified (2 1) to (λ (v) (/ 2 (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (sqrt 4)))) 12.924 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 12.924 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 12.924 * [simplify]: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) 12.924 * * [simplify]: iters left: 6 (18 enodes) 12.931 * * [simplify]: iters left: 5 (81 enodes) 12.955 * * [simplify]: iters left: 4 (194 enodes) 13.022 * * [simplify]: iters left: 3 (417 enodes) 13.183 * * [simplify]: Extracting #0: cost 1 inf + 0 13.183 * * [simplify]: Extracting #1: cost 12 inf + 0 13.184 * * [simplify]: Extracting #2: cost 41 inf + 1 13.184 * * [simplify]: Extracting #3: cost 60 inf + 124 13.185 * * [simplify]: Extracting #4: cost 82 inf + 2070 13.189 * * [simplify]: Extracting #5: cost 54 inf + 8779 13.198 * * [simplify]: Extracting #6: cost 5 inf + 18177 13.210 * * [simplify]: Extracting #7: cost 1 inf + 18390 13.221 * * [simplify]: Extracting #8: cost 0 inf + 18513 13.233 * [simplify]: Simplified to (+ (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)))) 13.233 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (+ (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)))))) 13.236 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 13.236 * [simplify]: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v))))) 13.236 * * [simplify]: iters left: 6 (14 enodes) 13.245 * * [simplify]: iters left: 5 (51 enodes) 13.264 * * [simplify]: iters left: 4 (97 enodes) 13.303 * * [simplify]: iters left: 3 (186 enodes) 13.365 * * [simplify]: iters left: 2 (285 enodes) 13.441 * * [simplify]: iters left: 1 (363 enodes) 13.528 * * [simplify]: Extracting #0: cost 1 inf + 0 13.528 * * [simplify]: Extracting #1: cost 10 inf + 0 13.528 * * [simplify]: Extracting #2: cost 35 inf + 1 13.529 * * [simplify]: Extracting #3: cost 72 inf + 43 13.530 * * [simplify]: Extracting #4: cost 58 inf + 1266 13.531 * * [simplify]: Extracting #5: cost 37 inf + 5049 13.534 * * [simplify]: Extracting #6: cost 18 inf + 11557 13.540 * * [simplify]: Extracting #7: cost 2 inf + 16769 13.547 * * [simplify]: Extracting #8: cost 0 inf + 17255 13.554 * [simplify]: Simplified to (+ (* (sqrt (+ (* 6 (* v v)) 2)) (* v v)) (+ (sqrt (+ (* 6 (* v v)) 2)) (* (* v v) (* (sqrt (+ (* 6 (* v v)) 2)) (* v v))))) 13.554 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (+ (* (sqrt (+ (* 6 (* v v)) 2)) (* v v)) (+ (sqrt (+ (* 6 (* v v)) 2)) (* (* v v) (* (sqrt (+ (* 6 (* v v)) 2)) (* v v))))))) 13.554 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 13.555 * [simplify]: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) 13.555 * * [simplify]: iters left: 6 (14 enodes) 13.565 * * [simplify]: iters left: 5 (68 enodes) 13.586 * * [simplify]: iters left: 4 (154 enodes) 13.631 * * [simplify]: iters left: 3 (278 enodes) 13.727 * * [simplify]: iters left: 2 (391 enodes) 13.805 * * [simplify]: iters left: 1 (419 enodes) 13.889 * * [simplify]: Extracting #0: cost 1 inf + 0 13.889 * * [simplify]: Extracting #1: cost 6 inf + 0 13.889 * * [simplify]: Extracting #2: cost 12 inf + 1 13.889 * * [simplify]: Extracting #3: cost 21 inf + 2 13.889 * * [simplify]: Extracting #4: cost 52 inf + 167 13.890 * * [simplify]: Extracting #5: cost 85 inf + 827 13.891 * * [simplify]: Extracting #6: cost 40 inf + 7992 13.895 * * [simplify]: Extracting #7: cost 10 inf + 14227 13.898 * * [simplify]: Extracting #8: cost 0 inf + 17557 13.902 * [simplify]: Simplified to (+ (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)) (* (* v v) (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)))) 13.902 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (+ (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)) (* (* v v) (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)))))) 13.902 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 13.902 * [simplify]: Simplifying (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v))))) 13.902 * * [simplify]: iters left: 6 (10 enodes) 13.905 * * [simplify]: iters left: 5 (38 enodes) 13.916 * * [simplify]: iters left: 4 (52 enodes) 13.933 * * [simplify]: iters left: 3 (60 enodes) 13.948 * * [simplify]: iters left: 2 (85 enodes) 13.965 * * [simplify]: Extracting #0: cost 1 inf + 0 13.965 * * [simplify]: Extracting #1: cost 6 inf + 0 13.965 * * [simplify]: Extracting #2: cost 12 inf + 1 13.965 * * [simplify]: Extracting #3: cost 16 inf + 2 13.965 * * [simplify]: Extracting #4: cost 15 inf + 167 13.965 * * [simplify]: Extracting #5: cost 14 inf + 250 13.966 * * [simplify]: Extracting #6: cost 10 inf + 620 13.966 * * [simplify]: Extracting #7: cost 3 inf + 1761 13.967 * * [simplify]: Extracting #8: cost 0 inf + 2368 13.968 * [simplify]: Simplified to (+ (* (* v v) (sqrt (+ (* (* v v) 6) 2))) (sqrt (+ (* (* v v) 6) 2))) 13.968 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (+ (* (* v v) (sqrt (+ (* (* v v) 6) 2))) (sqrt (+ (* (* v v) 6) 2))))) 13.968 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 13.968 * [simplify]: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) 13.969 * * [simplify]: iters left: 6 (11 enodes) 13.973 * * [simplify]: iters left: 5 (55 enodes) 13.984 * * [simplify]: iters left: 4 (131 enodes) 14.020 * * [simplify]: iters left: 3 (243 enodes) 14.114 * * [simplify]: iters left: 2 (313 enodes) 14.212 * * [simplify]: iters left: 1 (343 enodes) 14.276 * * [simplify]: Extracting #0: cost 1 inf + 0 14.276 * * [simplify]: Extracting #1: cost 3 inf + 0 14.276 * * [simplify]: Extracting #2: cost 11 inf + 0 14.276 * * [simplify]: Extracting #3: cost 45 inf + 1 14.277 * * [simplify]: Extracting #4: cost 78 inf + 456 14.279 * * [simplify]: Extracting #5: cost 39 inf + 6520 14.284 * * [simplify]: Extracting #6: cost 3 inf + 13978 14.289 * * [simplify]: Extracting #7: cost 0 inf + 14566 14.294 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* v v) 6) 2) (* (* v v) 6)) 4)) 14.294 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (sqrt (+ (* (+ (* (* v v) 6) 2) (* (* v v) 6)) 4)))) 14.294 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 14.294 * [simplify]: Simplifying (sqrt (+ 2 (* 6 (* v v)))) 14.294 * * [simplify]: iters left: 6 (7 enodes) 14.299 * * [simplify]: iters left: 5 (25 enodes) 14.303 * * [simplify]: iters left: 4 (29 enodes) 14.308 * * [simplify]: Extracting #0: cost 1 inf + 0 14.308 * * [simplify]: Extracting #1: cost 3 inf + 0 14.308 * * [simplify]: Extracting #2: cost 6 inf + 0 14.308 * * [simplify]: Extracting #3: cost 10 inf + 1 14.308 * * [simplify]: Extracting #4: cost 9 inf + 44 14.308 * * [simplify]: Extracting #5: cost 4 inf + 414 14.308 * * [simplify]: Extracting #6: cost 1 inf + 742 14.308 * * [simplify]: Extracting #7: cost 0 inf + 905 14.309 * [simplify]: Simplified to (sqrt (+ 2 (* (* v v) 6))) 14.309 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (sqrt (+ 2 (* (* v v) 6))))) 14.309 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 14.309 * [simplify]: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 14.309 * * [simplify]: iters left: 6 (8 enodes) 14.312 * * [simplify]: iters left: 5 (28 enodes) 14.317 * * [simplify]: iters left: 4 (51 enodes) 14.328 * * [simplify]: iters left: 3 (89 enodes) 14.358 * * [simplify]: iters left: 2 (114 enodes) 14.379 * * [simplify]: iters left: 1 (148 enodes) 14.422 * * [simplify]: Extracting #0: cost 1 inf + 0 14.423 * * [simplify]: Extracting #1: cost 8 inf + 0 14.423 * * [simplify]: Extracting #2: cost 22 inf + 1 14.423 * * [simplify]: Extracting #3: cost 35 inf + 125 14.424 * * [simplify]: Extracting #4: cost 19 inf + 1790 14.425 * * [simplify]: Extracting #5: cost 3 inf + 5141 14.427 * * [simplify]: Extracting #6: cost 0 inf + 5768 14.428 * [simplify]: Simplified to (+ 1 (+ (* v v) (* (* v v) (* v v)))) 14.428 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v)))))) (+ 1 (+ (* v v) (* (* v v) (* v v)))))) 14.429 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 14.429 * [simplify]: Simplifying (+ 1 (* v v)) 14.429 * * [simplify]: iters left: 4 (4 enodes) 14.432 * * [simplify]: iters left: 3 (15 enodes) 14.436 * * [simplify]: iters left: 2 (17 enodes) 14.441 * * [simplify]: Extracting #0: cost 1 inf + 0 14.441 * * [simplify]: Extracting #1: cost 4 inf + 0 14.441 * * [simplify]: Extracting #2: cost 5 inf + 1 14.442 * * [simplify]: Extracting #3: cost 4 inf + 2 14.442 * * [simplify]: Extracting #4: cost 1 inf + 207 14.442 * * [simplify]: Extracting #5: cost 0 inf + 248 14.442 * [simplify]: Simplified to (+ 1 (* v v)) 14.442 * [simplify]: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (+ 1 (* v v)))) 14.442 * * * * [progress]: [ 34 / 112 ] simplifiying candidate #real (real->posit16 (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))))> 14.442 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 14.443 * [simplify]: Simplifying (* 6 (* v v)) 14.443 * * [simplify]: iters left: 4 (4 enodes) 14.445 * * [simplify]: iters left: 3 (15 enodes) 14.450 * * [simplify]: iters left: 2 (19 enodes) 14.456 * * [simplify]: Extracting #0: cost 1 inf + 0 14.456 * * [simplify]: Extracting #1: cost 6 inf + 0 14.456 * * [simplify]: Extracting #2: cost 5 inf + 43 14.456 * * [simplify]: Extracting #3: cost 0 inf + 332 14.456 * [simplify]: Simplified to (* 6 (* v v)) 14.456 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (pow (* 6 (* v v)) 1)))))) 14.456 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 14.457 * [simplify]: Simplifying (* 6 (* v v)) 14.457 * * [simplify]: iters left: 4 (4 enodes) 14.459 * * [simplify]: iters left: 3 (15 enodes) 14.465 * * [simplify]: iters left: 2 (19 enodes) 14.468 * * [simplify]: Extracting #0: cost 1 inf + 0 14.468 * * [simplify]: Extracting #1: cost 6 inf + 0 14.468 * * [simplify]: Extracting #2: cost 5 inf + 43 14.469 * * [simplify]: Extracting #3: cost 0 inf + 332 14.469 * [simplify]: Simplified to (* 6 (* v v)) 14.469 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (pow (* 6 (* v v)) 1)))))) 14.469 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 14.469 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 14.469 * [simplify]: Simplifying (+ (log 6) (+ (log v) (log v))) 14.469 * * [simplify]: iters left: 5 (6 enodes) 14.471 * * [simplify]: iters left: 4 (21 enodes) 14.474 * * [simplify]: iters left: 3 (25 enodes) 14.478 * * [simplify]: Extracting #0: cost 1 inf + 0 14.478 * * [simplify]: Extracting #1: cost 6 inf + 0 14.478 * * [simplify]: Extracting #2: cost 12 inf + 0 14.478 * * [simplify]: Extracting #3: cost 10 inf + 2 14.478 * * [simplify]: Extracting #4: cost 0 inf + 1316 14.479 * [simplify]: Simplified to (+ (log 6) (+ (log v) (log v))) 14.479 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (exp (+ (log 6) (+ (log v) (log v))))))))) 14.479 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 14.479 * [simplify]: Simplifying (+ (log 6) (log (* v v))) 14.479 * * [simplify]: iters left: 5 (6 enodes) 14.481 * * [simplify]: iters left: 4 (21 enodes) 14.484 * * [simplify]: iters left: 3 (27 enodes) 14.490 * * [simplify]: iters left: 2 (32 enodes) 14.498 * * [simplify]: Extracting #0: cost 1 inf + 0 14.498 * * [simplify]: Extracting #1: cost 6 inf + 0 14.498 * * [simplify]: Extracting #2: cost 13 inf + 0 14.498 * * [simplify]: Extracting #3: cost 9 inf + 185 14.499 * * [simplify]: Extracting #4: cost 4 inf + 741 14.499 * * [simplify]: Extracting #5: cost 0 inf + 1398 14.500 * [simplify]: Simplified to (+ (log 6) (+ (log v) (log v))) 14.500 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (exp (+ (log 6) (+ (log v) (log v))))))))) 14.500 * * * * [progress]: [ 40 / 112 ] simplifiying candidate # 14.500 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 14.500 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 14.500 * [simplify]: Simplifying (* (* (* 6 6) 6) (* (* (* v v) v) (* (* v v) v))) 14.500 * * [simplify]: iters left: 6 (8 enodes) 14.505 * * [simplify]: iters left: 5 (38 enodes) 14.514 * * [simplify]: iters left: 4 (97 enodes) 14.543 * * [simplify]: iters left: 3 (287 enodes) 14.707 * * [simplify]: Extracting #0: cost 1 inf + 0 14.707 * * [simplify]: Extracting #1: cost 46 inf + 0 14.708 * * [simplify]: Extracting #2: cost 79 inf + 1392 14.710 * * [simplify]: Extracting #3: cost 34 inf + 6529 14.714 * * [simplify]: Extracting #4: cost 11 inf + 11685 14.719 * * [simplify]: Extracting #5: cost 1 inf + 14202 14.727 * * [simplify]: Extracting #6: cost 0 inf + 14414 14.733 * [simplify]: Simplified to (* (* (* v v) (* 216 (* v v))) (* v v)) 14.733 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (cbrt (* (* (* v v) (* 216 (* v v))) (* v v)))))))) 14.734 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 14.734 * [simplify]: Simplifying (* (* (* 6 6) 6) (* (* (* v v) (* v v)) (* v v))) 14.734 * * [simplify]: iters left: 6 (8 enodes) 14.740 * * [simplify]: iters left: 5 (39 enodes) 14.759 * * [simplify]: iters left: 4 (97 enodes) 14.804 * * [simplify]: iters left: 3 (287 enodes) 14.999 * * [simplify]: Extracting #0: cost 1 inf + 0 14.999 * * [simplify]: Extracting #1: cost 61 inf + 0 15.000 * * [simplify]: Extracting #2: cost 102 inf + 1837 15.003 * * [simplify]: Extracting #3: cost 29 inf + 13689 15.007 * * [simplify]: Extracting #4: cost 2 inf + 18688 15.011 * * [simplify]: Extracting #5: cost 0 inf + 19152 15.018 * [simplify]: Simplified to (* (* (* v v) (* v v)) (* 216 (* v v))) 15.019 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (cbrt (* (* (* v v) (* v v)) (* 216 (* v v))))))))) 15.019 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 15.019 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 15.019 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 15.019 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 15.019 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 15.020 * [simplify]: Simplifying (* (sqrt 6) v) 15.020 * * [simplify]: iters left: 3 (4 enodes) 15.022 * * [simplify]: iters left: 2 (13 enodes) 15.027 * * [simplify]: Extracting #0: cost 1 inf + 0 15.027 * * [simplify]: Extracting #1: cost 4 inf + 0 15.027 * * [simplify]: Extracting #2: cost 5 inf + 1 15.027 * * [simplify]: Extracting #3: cost 4 inf + 2 15.027 * * [simplify]: Extracting #4: cost 0 inf + 248 15.027 * [simplify]: Simplified to (* v (sqrt 6)) 15.027 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v (sqrt 6)) (* (sqrt 6) v))))))) 15.028 * [simplify]: Simplifying (* (sqrt 6) v) 15.028 * * [simplify]: iters left: 3 (4 enodes) 15.030 * * [simplify]: iters left: 2 (13 enodes) 15.035 * * [simplify]: Extracting #0: cost 1 inf + 0 15.035 * * [simplify]: Extracting #1: cost 4 inf + 0 15.035 * * [simplify]: Extracting #2: cost 5 inf + 1 15.035 * * [simplify]: Extracting #3: cost 4 inf + 2 15.035 * * [simplify]: Extracting #4: cost 0 inf + 248 15.035 * [simplify]: Simplified to (* v (sqrt 6)) 15.035 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* (sqrt 6) v) (* v (sqrt 6)))))))) 15.035 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 15.036 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 15.036 * [simplify]: Simplifying (* (cbrt 6) (cbrt 6)) 15.036 * * [simplify]: iters left: 3 (3 enodes) 15.038 * * [simplify]: iters left: 2 (9 enodes) 15.042 * * [simplify]: Extracting #0: cost 1 inf + 0 15.042 * * [simplify]: Extracting #1: cost 3 inf + 0 15.042 * * [simplify]: Extracting #2: cost 5 inf + 0 15.042 * * [simplify]: Extracting #3: cost 4 inf + 1 15.042 * * [simplify]: Extracting #4: cost 0 inf + 405 15.042 * [simplify]: Simplified to (* (cbrt 6) (cbrt 6)) 15.042 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* (cbrt 6) (cbrt 6)) (* (cbrt 6) (* v v)))))))) 15.042 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 15.042 * [simplify]: Simplifying (sqrt 6) 15.043 * * [simplify]: iters left: 1 (2 enodes) 15.044 * * [simplify]: Extracting #0: cost 1 inf + 0 15.044 * * [simplify]: Extracting #1: cost 3 inf + 0 15.044 * * [simplify]: Extracting #2: cost 2 inf + 1 15.044 * * [simplify]: Extracting #3: cost 0 inf + 83 15.044 * [simplify]: Simplified to (sqrt 6) 15.045 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (sqrt 6) (* (sqrt 6) (* v v)))))))) 15.045 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 15.045 * * * * [progress]: [ 53 / 112 ] simplifiying candidate #real (real->posit16 (* 6 (* v v)))))))))> 15.045 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 15.045 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 15.045 * [simplify]: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 15.045 * * [simplify]: iters left: 6 (14 enodes) 15.054 * * [simplify]: iters left: 5 (58 enodes) 15.075 * * [simplify]: iters left: 4 (118 enodes) 15.107 * * [simplify]: iters left: 3 (251 enodes) 15.232 * * [simplify]: Extracting #0: cost 1 inf + 0 15.232 * * [simplify]: Extracting #1: cost 32 inf + 0 15.232 * * [simplify]: Extracting #2: cost 107 inf + 3 15.233 * * [simplify]: Extracting #3: cost 133 inf + 704 15.234 * * [simplify]: Extracting #4: cost 98 inf + 4310 15.236 * * [simplify]: Extracting #5: cost 92 inf + 4964 15.240 * * [simplify]: Extracting #6: cost 36 inf + 17428 15.246 * * [simplify]: Extracting #7: cost 0 inf + 26782 15.254 * [simplify]: Simplified to (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 15.254 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (pow (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 1))) 15.254 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 15.254 * [simplify]: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 15.254 * * [simplify]: iters left: 6 (14 enodes) 15.259 * * [simplify]: iters left: 5 (58 enodes) 15.279 * * [simplify]: iters left: 4 (118 enodes) 15.307 * * [simplify]: iters left: 3 (251 enodes) 15.416 * * [simplify]: Extracting #0: cost 1 inf + 0 15.416 * * [simplify]: Extracting #1: cost 32 inf + 0 15.416 * * [simplify]: Extracting #2: cost 107 inf + 3 15.417 * * [simplify]: Extracting #3: cost 133 inf + 704 15.420 * * [simplify]: Extracting #4: cost 98 inf + 4310 15.423 * * [simplify]: Extracting #5: cost 92 inf + 4964 15.428 * * [simplify]: Extracting #6: cost 36 inf + 17428 15.435 * * [simplify]: Extracting #7: cost 0 inf + 26782 15.442 * [simplify]: Simplified to (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 15.442 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (pow (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 1))) 15.442 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 15.442 * [simplify]: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 15.442 * * [simplify]: iters left: 6 (14 enodes) 15.447 * * [simplify]: iters left: 5 (58 enodes) 15.460 * * [simplify]: iters left: 4 (118 enodes) 15.511 * * [simplify]: iters left: 3 (251 enodes) 15.618 * * [simplify]: Extracting #0: cost 1 inf + 0 15.618 * * [simplify]: Extracting #1: cost 32 inf + 0 15.619 * * [simplify]: Extracting #2: cost 107 inf + 3 15.619 * * [simplify]: Extracting #3: cost 133 inf + 704 15.620 * * [simplify]: Extracting #4: cost 98 inf + 4310 15.622 * * [simplify]: Extracting #5: cost 92 inf + 4964 15.626 * * [simplify]: Extracting #6: cost 36 inf + 17428 15.632 * * [simplify]: Extracting #7: cost 0 inf + 26782 15.639 * [simplify]: Simplified to (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 15.639 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (pow (* (sqrt (+ 2 (* (* v v) -6))) (- (* 3 PI) (* (* 3 PI) (* v v)))) 1))) 15.639 * * * * [progress]: [ 58 / 112 ] simplifiying candidate # 15.639 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 15.639 * [simplify]: Simplifying (+ (+ (+ (log 3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) 15.639 * * [simplify]: iters left: 6 (18 enodes) 15.645 * * [simplify]: iters left: 5 (70 enodes) 15.657 * * [simplify]: iters left: 4 (118 enodes) 15.694 * * [simplify]: iters left: 3 (172 enodes) 15.745 * * [simplify]: iters left: 2 (187 enodes) 15.772 * * [simplify]: Extracting #0: cost 1 inf + 0 15.772 * * [simplify]: Extracting #1: cost 16 inf + 0 15.772 * * [simplify]: Extracting #2: cost 34 inf + 0 15.772 * * [simplify]: Extracting #3: cost 35 inf + 215 15.773 * * [simplify]: Extracting #4: cost 40 inf + 469 15.773 * * [simplify]: Extracting #5: cost 41 inf + 928 15.773 * * [simplify]: Extracting #6: cost 22 inf + 3502 15.775 * * [simplify]: Extracting #7: cost 3 inf + 9584 15.778 * * [simplify]: Extracting #8: cost 0 inf + 11029 15.781 * [simplify]: Simplified to (+ (+ (+ (log 3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* -6 (* v v)))))) 15.781 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (exp (+ (+ (+ (log 3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* -6 (* v v))))))))) 15.781 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 15.782 * [simplify]: Simplifying (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) 15.782 * * [simplify]: iters left: 6 (17 enodes) 15.791 * * [simplify]: iters left: 5 (68 enodes) 15.816 * * [simplify]: iters left: 4 (111 enodes) 15.851 * * [simplify]: iters left: 3 (158 enodes) 15.893 * * [simplify]: iters left: 2 (189 enodes) 15.922 * * [simplify]: iters left: 1 (192 enodes) 15.964 * * [simplify]: Extracting #0: cost 1 inf + 0 15.964 * * [simplify]: Extracting #1: cost 17 inf + 0 15.964 * * [simplify]: Extracting #2: cost 36 inf + 0 15.964 * * [simplify]: Extracting #3: cost 40 inf + 73 15.965 * * [simplify]: Extracting #4: cost 41 inf + 483 15.965 * * [simplify]: Extracting #5: cost 38 inf + 1521 15.966 * * [simplify]: Extracting #6: cost 20 inf + 5001 15.968 * * [simplify]: Extracting #7: cost 4 inf + 10151 15.970 * * [simplify]: Extracting #8: cost 0 inf + 11448 15.973 * * [simplify]: Extracting #9: cost 0 inf + 11408 15.975 * [simplify]: Simplified to (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* (- (* v v)) 6))))) 15.975 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (exp (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* (- (* v v)) 6)))))))) 15.975 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 15.976 * [simplify]: Simplifying (+ (log (* (* 3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) 15.976 * * [simplify]: iters left: 6 (16 enodes) 15.980 * * [simplify]: iters left: 5 (65 enodes) 15.999 * * [simplify]: iters left: 4 (124 enodes) 16.046 * * [simplify]: iters left: 3 (220 enodes) 16.095 * * [simplify]: iters left: 2 (378 enodes) 16.239 * * [simplify]: Extracting #0: cost 1 inf + 0 16.239 * * [simplify]: Extracting #1: cost 16 inf + 0 16.240 * * [simplify]: Extracting #2: cost 39 inf + 0 16.240 * * [simplify]: Extracting #3: cost 51 inf + 216 16.241 * * [simplify]: Extracting #4: cost 79 inf + 484 16.242 * * [simplify]: Extracting #5: cost 68 inf + 3115 16.248 * * [simplify]: Extracting #6: cost 11 inf + 11998 16.256 * * [simplify]: Extracting #7: cost 0 inf + 14668 16.263 * [simplify]: Simplified to (+ (log (* (- PI (* (* v v) PI)) 3)) (log (sqrt (- 2 (* (* v v) 6))))) 16.264 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (exp (+ (log (* (- PI (* (* v v) PI)) 3)) (log (sqrt (- 2 (* (* v v) 6)))))))) 16.264 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 16.264 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 16.264 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 16.267 * [simplify]: Simplifying (* (* (* (* (* 3 3) 3) (* (* PI PI) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) 16.267 * * [simplify]: iters left: 6 (22 enodes) 16.280 * * [simplify]: iters left: 5 (93 enodes) 16.320 * * [simplify]: iters left: 4 (263 enodes) 16.504 * * [simplify]: Extracting #0: cost 1 inf + 0 16.505 * * [simplify]: Extracting #1: cost 106 inf + 0 16.507 * * [simplify]: Extracting #2: cost 391 inf + 248 16.511 * * [simplify]: Extracting #3: cost 488 inf + 2419 16.522 * * [simplify]: Extracting #4: cost 367 inf + 24728 16.550 * * [simplify]: Extracting #5: cost 132 inf + 92041 16.592 * * [simplify]: Extracting #6: cost 10 inf + 136105 16.660 * * [simplify]: Extracting #7: cost 0 inf + 139790 16.719 * [simplify]: Simplified to (* (* (* (sqrt (+ (* (* v v) -6) 2)) (+ (* (* v v) -6) 2)) (* PI (* PI PI))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))) 27)) 16.719 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (cbrt (* (* (* (sqrt (+ (* (* v v) -6) 2)) (+ (* (* v v) -6) 2)) (* PI (* PI PI))) (* (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))) 27))))) 16.720 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 16.720 * [simplify]: Simplifying (* (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) 16.720 * * [simplify]: iters left: 6 (20 enodes) 16.726 * * [simplify]: iters left: 5 (91 enodes) 16.751 * * [simplify]: iters left: 4 (262 enodes) 16.927 * * [simplify]: Extracting #0: cost 1 inf + 0 16.928 * * [simplify]: Extracting #1: cost 68 inf + 0 16.929 * * [simplify]: Extracting #2: cost 343 inf + 1 16.930 * * [simplify]: Extracting #3: cost 441 inf + 1570 16.937 * * [simplify]: Extracting #4: cost 282 inf + 36367 16.981 * * [simplify]: Extracting #5: cost 6 inf + 123291 17.019 * * [simplify]: Extracting #6: cost 0 inf + 122280 17.074 * * [simplify]: Extracting #7: cost 0 inf + 121360 17.107 * [simplify]: Simplified to (* (* (* (* 3 PI) (- 1 (* v v))) (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v))))) (* (sqrt (- 2 (* (* v v) 6))) (- 2 (* (* v v) 6)))) 17.107 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (cbrt (* (* (* (* 3 PI) (- 1 (* v v))) (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v))))) (* (sqrt (- 2 (* (* v v) 6))) (- 2 (* (* v v) 6))))))) 17.108 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 17.108 * [simplify]: Simplifying (* (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) 17.108 * * [simplify]: iters left: 6 (18 enodes) 17.114 * * [simplify]: iters left: 5 (81 enodes) 17.140 * * [simplify]: iters left: 4 (275 enodes) 17.342 * * [simplify]: Extracting #0: cost 1 inf + 0 17.342 * * [simplify]: Extracting #1: cost 72 inf + 0 17.344 * * [simplify]: Extracting #2: cost 343 inf + 1 17.347 * * [simplify]: Extracting #3: cost 454 inf + 589 17.356 * * [simplify]: Extracting #4: cost 330 inf + 24570 17.378 * * [simplify]: Extracting #5: cost 87 inf + 91386 17.423 * * [simplify]: Extracting #6: cost 4 inf + 121796 17.463 * * [simplify]: Extracting #7: cost 0 inf + 123177 17.497 * [simplify]: Simplified to (* (sqrt (- 2 (* (* v v) 6))) (* (* (* (- 1 (* v v)) (* 3 PI)) (* (* (- 1 (* v v)) (* 3 PI)) (* (- 1 (* v v)) (* 3 PI)))) (- 2 (* (* v v) 6)))) 17.497 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (cbrt (* (sqrt (- 2 (* (* v v) 6))) (* (* (* (- 1 (* v v)) (* 3 PI)) (* (* (- 1 (* v v)) (* 3 PI)) (* (- 1 (* v v)) (* 3 PI)))) (- 2 (* (* v v) 6))))))) 17.497 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 17.498 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 17.498 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 17.498 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 17.498 * [simplify]: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) 17.498 * * [simplify]: iters left: 6 (18 enodes) 17.509 * * [simplify]: iters left: 5 (94 enodes) 17.531 * * [simplify]: iters left: 4 (248 enodes) 17.632 * * [simplify]: Extracting #0: cost 1 inf + 0 17.632 * * [simplify]: Extracting #1: cost 22 inf + 0 17.633 * * [simplify]: Extracting #2: cost 45 inf + 2 17.633 * * [simplify]: Extracting #3: cost 112 inf + 171 17.635 * * [simplify]: Extracting #4: cost 179 inf + 1067 17.639 * * [simplify]: Extracting #5: cost 160 inf + 9924 17.650 * * [simplify]: Extracting #6: cost 47 inf + 31713 17.667 * * [simplify]: Extracting #7: cost 2 inf + 45470 17.687 * * [simplify]: Extracting #8: cost 0 inf + 46279 17.696 * [simplify]: Simplified to (* (* 3 (sqrt (- 8 (* (* (* v v) (* (* v v) (* v v))) 216)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) PI)) 17.696 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* 3 (sqrt (- 8 (* (* (* v v) (* (* v v) (* v v))) 216)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) PI)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))))))) 17.697 * [simplify]: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) 17.697 * * [simplify]: iters left: 6 (18 enodes) 17.703 * * [simplify]: iters left: 5 (81 enodes) 17.721 * * [simplify]: iters left: 4 (194 enodes) 17.791 * * [simplify]: iters left: 3 (417 enodes) 17.961 * * [simplify]: Extracting #0: cost 1 inf + 0 17.961 * * [simplify]: Extracting #1: cost 12 inf + 0 17.962 * * [simplify]: Extracting #2: cost 41 inf + 1 17.962 * * [simplify]: Extracting #3: cost 60 inf + 124 17.964 * * [simplify]: Extracting #4: cost 82 inf + 2070 17.967 * * [simplify]: Extracting #5: cost 54 inf + 8779 17.977 * * [simplify]: Extracting #6: cost 5 inf + 18177 17.983 * * [simplify]: Extracting #7: cost 1 inf + 18390 17.989 * * [simplify]: Extracting #8: cost 0 inf + 18513 17.995 * [simplify]: Simplified to (+ (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)))) 17.996 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* 3 (sqrt (- 8 (* (* (* v v) (* (* v v) (* v v))) 216)))) (* (- 1 (* (* v v) (* (* v v) (* v v)))) PI)) (+ (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4)) (* (+ (* v v) (* (* v v) (* v v))) (sqrt (+ (* (* v v) (+ 12 (* 36 (* v v)))) 4))))))) 17.996 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 17.996 * [simplify]: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) 17.996 * * [simplify]: iters left: 6 (18 enodes) 18.003 * * [simplify]: iters left: 5 (90 enodes) 18.029 * * [simplify]: iters left: 4 (223 enodes) 18.119 * * [simplify]: Extracting #0: cost 1 inf + 0 18.119 * * [simplify]: Extracting #1: cost 26 inf + 0 18.120 * * [simplify]: Extracting #2: cost 50 inf + 2 18.120 * * [simplify]: Extracting #3: cost 127 inf + 171 18.121 * * [simplify]: Extracting #4: cost 164 inf + 1431 18.126 * * [simplify]: Extracting #5: cost 95 inf + 14582 18.135 * * [simplify]: Extracting #6: cost 30 inf + 26380 18.142 * * [simplify]: Extracting #7: cost 1 inf + 36001 18.150 * * [simplify]: Extracting #8: cost 0 inf + 36405 18.157 * [simplify]: Simplified to (* (* (sqrt (- 4 (* (* v (* 6 v)) (* v (* 6 v))))) (* 3 PI)) (- 1 (* (* v (* v v)) (* v (* v v))))) 18.157 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (sqrt (- 4 (* (* v (* 6 v)) (* v (* 6 v))))) (* 3 PI)) (- 1 (* (* v (* v v)) (* v (* v v))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v)))))))) 18.157 * [simplify]: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v))))) 18.158 * * [simplify]: iters left: 6 (14 enodes) 18.162 * * [simplify]: iters left: 5 (51 enodes) 18.175 * * [simplify]: iters left: 4 (97 enodes) 18.195 * * [simplify]: iters left: 3 (186 enodes) 18.244 * * [simplify]: iters left: 2 (285 enodes) 18.326 * * [simplify]: iters left: 1 (363 enodes) 18.417 * * [simplify]: Extracting #0: cost 1 inf + 0 18.417 * * [simplify]: Extracting #1: cost 10 inf + 0 18.418 * * [simplify]: Extracting #2: cost 35 inf + 1 18.418 * * [simplify]: Extracting #3: cost 72 inf + 43 18.418 * * [simplify]: Extracting #4: cost 58 inf + 1266 18.420 * * [simplify]: Extracting #5: cost 37 inf + 5049 18.423 * * [simplify]: Extracting #6: cost 18 inf + 11557 18.430 * * [simplify]: Extracting #7: cost 2 inf + 16769 18.437 * * [simplify]: Extracting #8: cost 0 inf + 17255 18.444 * [simplify]: Simplified to (+ (* (sqrt (+ (* 6 (* v v)) 2)) (* v v)) (+ (sqrt (+ (* 6 (* v v)) 2)) (* (* v v) (* (sqrt (+ (* 6 (* v v)) 2)) (* v v))))) 18.444 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (sqrt (- 4 (* (* v (* 6 v)) (* v (* 6 v))))) (* 3 PI)) (- 1 (* (* v (* v v)) (* v (* v v))))) (+ (* (sqrt (+ (* 6 (* v v)) 2)) (* v v)) (+ (sqrt (+ (* 6 (* v v)) 2)) (* (* v v) (* (sqrt (+ (* 6 (* v v)) 2)) (* v v)))))))) 18.444 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 18.445 * [simplify]: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) 18.445 * * [simplify]: iters left: 6 (18 enodes) 18.458 * * [simplify]: iters left: 5 (90 enodes) 18.484 * * [simplify]: iters left: 4 (227 enodes) 18.567 * * [simplify]: Extracting #0: cost 1 inf + 0 18.567 * * [simplify]: Extracting #1: cost 26 inf + 0 18.567 * * [simplify]: Extracting #2: cost 48 inf + 2 18.567 * * [simplify]: Extracting #3: cost 82 inf + 87 18.568 * * [simplify]: Extracting #4: cost 133 inf + 1437 18.570 * * [simplify]: Extracting #5: cost 118 inf + 12877 18.577 * * [simplify]: Extracting #6: cost 29 inf + 31492 18.594 * * [simplify]: Extracting #7: cost 3 inf + 36832 18.602 * * [simplify]: Extracting #8: cost 0 inf + 37052 18.611 * [simplify]: Simplified to (* (* (* 3 (- 1 (* (* v v) (* v v)))) (sqrt (- 8 (* (* v (* v v)) (* 216 (* v (* v v))))))) PI) 18.611 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (* 3 (- 1 (* (* v v) (* v v)))) (sqrt (- 8 (* (* v (* v v)) (* 216 (* v (* v v))))))) PI) (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))))))) 18.612 * [simplify]: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) 18.612 * * [simplify]: iters left: 6 (14 enodes) 18.617 * * [simplify]: iters left: 5 (68 enodes) 18.634 * * [simplify]: iters left: 4 (154 enodes) 18.670 * * [simplify]: iters left: 3 (278 enodes) 18.762 * * [simplify]: iters left: 2 (391 enodes) 18.866 * * [simplify]: iters left: 1 (419 enodes) 18.978 * * [simplify]: Extracting #0: cost 1 inf + 0 18.978 * * [simplify]: Extracting #1: cost 6 inf + 0 18.978 * * [simplify]: Extracting #2: cost 12 inf + 1 18.978 * * [simplify]: Extracting #3: cost 21 inf + 2 18.979 * * [simplify]: Extracting #4: cost 52 inf + 167 18.979 * * [simplify]: Extracting #5: cost 85 inf + 827 18.981 * * [simplify]: Extracting #6: cost 40 inf + 7992 18.984 * * [simplify]: Extracting #7: cost 10 inf + 14227 18.988 * * [simplify]: Extracting #8: cost 0 inf + 17557 18.991 * [simplify]: Simplified to (+ (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)) (* (* v v) (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)))) 18.991 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 (- 1 (* (* v v) (* v v)))) (sqrt (- 8 (* (* v (* v v)) (* 216 (* v (* v v))))))) PI) (+ (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4)) (* (* v v) (sqrt (+ (* (+ (* 6 (* v v)) 2) (* 6 (* v v))) 4))))))) 18.992 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 18.992 * [simplify]: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) 18.992 * * [simplify]: iters left: 6 (18 enodes) 19.002 * * [simplify]: iters left: 5 (83 enodes) 19.027 * * [simplify]: iters left: 4 (189 enodes) 19.080 * * [simplify]: iters left: 3 (463 enodes) 19.307 * * [simplify]: Extracting #0: cost 1 inf + 0 19.308 * * [simplify]: Extracting #1: cost 24 inf + 0 19.308 * * [simplify]: Extracting #2: cost 109 inf + 3 19.309 * * [simplify]: Extracting #3: cost 201 inf + 171 19.311 * * [simplify]: Extracting #4: cost 258 inf + 2016 19.316 * * [simplify]: Extracting #5: cost 174 inf + 17803 19.339 * * [simplify]: Extracting #6: cost 20 inf + 51593 19.366 * * [simplify]: Extracting #7: cost 0 inf + 56347 19.380 * [simplify]: Simplified to (* (* (* (- 1 (* (* v v) (* v v))) PI) (sqrt (- 4 (* (* 6 (* v v)) (* 6 (* v v)))))) 3) 19.381 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (* (- 1 (* (* v v) (* v v))) PI) (sqrt (- 4 (* (* 6 (* v v)) (* 6 (* v v)))))) 3) (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v)))))))) 19.381 * [simplify]: Simplifying (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v))))) 19.381 * * [simplify]: iters left: 6 (10 enodes) 19.385 * * [simplify]: iters left: 5 (38 enodes) 19.396 * * [simplify]: iters left: 4 (52 enodes) 19.405 * * [simplify]: iters left: 3 (60 enodes) 19.415 * * [simplify]: iters left: 2 (85 enodes) 19.432 * * [simplify]: Extracting #0: cost 1 inf + 0 19.432 * * [simplify]: Extracting #1: cost 6 inf + 0 19.432 * * [simplify]: Extracting #2: cost 12 inf + 1 19.432 * * [simplify]: Extracting #3: cost 16 inf + 2 19.432 * * [simplify]: Extracting #4: cost 15 inf + 167 19.433 * * [simplify]: Extracting #5: cost 14 inf + 250 19.433 * * [simplify]: Extracting #6: cost 10 inf + 620 19.434 * * [simplify]: Extracting #7: cost 3 inf + 1761 19.435 * * [simplify]: Extracting #8: cost 0 inf + 2368 19.436 * [simplify]: Simplified to (+ (* (* v v) (sqrt (+ (* (* v v) 6) 2))) (sqrt (+ (* (* v v) 6) 2))) 19.436 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* (- 1 (* (* v v) (* v v))) PI) (sqrt (- 4 (* (* 6 (* v v)) (* 6 (* v v)))))) 3) (+ (* (* v v) (sqrt (+ (* (* v v) 6) 2))) (sqrt (+ (* (* v v) 6) 2)))))) 19.437 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 19.437 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 19.437 * [simplify]: Simplifying (cbrt (sqrt (- 2 (* 6 (* v v))))) 19.437 * * [simplify]: iters left: 6 (8 enodes) 19.441 * * [simplify]: iters left: 5 (29 enodes) 19.451 * * [simplify]: iters left: 4 (47 enodes) 19.467 * * [simplify]: iters left: 3 (65 enodes) 19.487 * * [simplify]: Extracting #0: cost 1 inf + 0 19.487 * * [simplify]: Extracting #1: cost 3 inf + 0 19.487 * * [simplify]: Extracting #2: cost 5 inf + 0 19.487 * * [simplify]: Extracting #3: cost 9 inf + 0 19.487 * * [simplify]: Extracting #4: cost 18 inf + 1 19.488 * * [simplify]: Extracting #5: cost 17 inf + 128 19.488 * * [simplify]: Extracting #6: cost 7 inf + 786 19.489 * * [simplify]: Extracting #7: cost 0 inf + 1884 19.490 * [simplify]: Simplified to (cbrt (sqrt (+ 2 (* (* v v) -6)))) 19.490 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) 19.490 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 19.490 * [simplify]: Simplifying (sqrt (cbrt (- 2 (* 6 (* v v))))) 19.490 * * [simplify]: iters left: 6 (8 enodes) 19.495 * * [simplify]: iters left: 5 (29 enodes) 19.505 * * [simplify]: iters left: 4 (47 enodes) 19.514 * * [simplify]: iters left: 3 (65 enodes) 19.525 * * [simplify]: Extracting #0: cost 1 inf + 0 19.525 * * [simplify]: Extracting #1: cost 3 inf + 0 19.525 * * [simplify]: Extracting #2: cost 5 inf + 0 19.525 * * [simplify]: Extracting #3: cost 9 inf + 0 19.525 * * [simplify]: Extracting #4: cost 18 inf + 1 19.525 * * [simplify]: Extracting #5: cost 17 inf + 128 19.525 * * [simplify]: Extracting #6: cost 7 inf + 786 19.525 * * [simplify]: Extracting #7: cost 0 inf + 1964 19.526 * [simplify]: Simplified to (sqrt (cbrt (+ 2 (* (* v v) -6)))) 19.526 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) 19.526 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 19.526 * [simplify]: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) 19.526 * * [simplify]: iters left: 6 (8 enodes) 19.529 * * [simplify]: iters left: 5 (29 enodes) 19.534 * * [simplify]: iters left: 4 (47 enodes) 19.542 * * [simplify]: iters left: 3 (65 enodes) 19.554 * * [simplify]: Extracting #0: cost 1 inf + 0 19.554 * * [simplify]: Extracting #1: cost 3 inf + 0 19.554 * * [simplify]: Extracting #2: cost 5 inf + 0 19.554 * * [simplify]: Extracting #3: cost 9 inf + 0 19.554 * * [simplify]: Extracting #4: cost 18 inf + 1 19.554 * * [simplify]: Extracting #5: cost 17 inf + 128 19.554 * * [simplify]: Extracting #6: cost 7 inf + 786 19.554 * * [simplify]: Extracting #7: cost 0 inf + 1804 19.555 * [simplify]: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) 19.555 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) 19.555 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 19.555 * [simplify]: Simplifying (sqrt (- 2 (* 6 (* v v)))) 19.555 * * [simplify]: iters left: 6 (7 enodes) 19.558 * * [simplify]: iters left: 5 (26 enodes) 19.563 * * [simplify]: iters left: 4 (44 enodes) 19.576 * * [simplify]: iters left: 3 (62 enodes) 19.596 * * [simplify]: Extracting #0: cost 1 inf + 0 19.596 * * [simplify]: Extracting #1: cost 3 inf + 0 19.596 * * [simplify]: Extracting #2: cost 7 inf + 0 19.596 * * [simplify]: Extracting #3: cost 16 inf + 1 19.597 * * [simplify]: Extracting #4: cost 12 inf + 413 19.597 * * [simplify]: Extracting #5: cost 4 inf + 947 19.598 * * [simplify]: Extracting #6: cost 1 inf + 1235 19.599 * * [simplify]: Extracting #7: cost 0 inf + 1398 19.599 * [simplify]: Simplified to (sqrt (- 2 (* (* v v) 6))) 19.599 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* v v) 6)))))) 19.600 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 19.600 * [simplify]: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) 19.600 * * [simplify]: iters left: 6 (8 enodes) 19.605 * * [simplify]: iters left: 5 (29 enodes) 19.615 * * [simplify]: iters left: 4 (47 enodes) 19.630 * * [simplify]: iters left: 3 (65 enodes) 19.649 * * [simplify]: Extracting #0: cost 1 inf + 0 19.649 * * [simplify]: Extracting #1: cost 3 inf + 0 19.649 * * [simplify]: Extracting #2: cost 5 inf + 0 19.649 * * [simplify]: Extracting #3: cost 9 inf + 0 19.649 * * [simplify]: Extracting #4: cost 18 inf + 1 19.650 * * [simplify]: Extracting #5: cost 17 inf + 128 19.650 * * [simplify]: Extracting #6: cost 7 inf + 786 19.651 * * [simplify]: Extracting #7: cost 0 inf + 1804 19.652 * [simplify]: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) 19.652 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) 19.652 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 19.652 * [simplify]: Simplifying (sqrt (- 2 (* 6 (* v v)))) 19.652 * * [simplify]: iters left: 6 (7 enodes) 19.656 * * [simplify]: iters left: 5 (26 enodes) 19.665 * * [simplify]: iters left: 4 (44 enodes) 19.681 * * [simplify]: iters left: 3 (62 enodes) 19.693 * * [simplify]: Extracting #0: cost 1 inf + 0 19.694 * * [simplify]: Extracting #1: cost 3 inf + 0 19.694 * * [simplify]: Extracting #2: cost 7 inf + 0 19.694 * * [simplify]: Extracting #3: cost 16 inf + 1 19.694 * * [simplify]: Extracting #4: cost 12 inf + 413 19.694 * * [simplify]: Extracting #5: cost 4 inf + 947 19.695 * * [simplify]: Extracting #6: cost 1 inf + 1235 19.695 * * [simplify]: Extracting #7: cost 0 inf + 1398 19.695 * [simplify]: Simplified to (sqrt (- 2 (* (* v v) 6))) 19.695 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) 1) (sqrt (- 2 (* (* v v) 6)))))) 19.695 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 19.696 * [simplify]: Simplifying (* 3 PI) 19.696 * * [simplify]: iters left: 2 (3 enodes) 19.697 * * [simplify]: iters left: 1 (10 enodes) 19.698 * * [simplify]: Extracting #0: cost 1 inf + 0 19.698 * * [simplify]: Extracting #1: cost 4 inf + 0 19.698 * * [simplify]: Extracting #2: cost 2 inf + 2 19.698 * * [simplify]: Extracting #3: cost 0 inf + 86 19.698 * [simplify]: Simplified to (* 3 PI) 19.698 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (* (* 3 PI) (* (- 1 (* v v)) (sqrt (- 2 (* 6 (* v v)))))))) 19.698 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 19.699 * [simplify]: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) 19.699 * * [simplify]: iters left: 6 (11 enodes) 19.703 * * [simplify]: iters left: 5 (55 enodes) 19.714 * * [simplify]: iters left: 4 (131 enodes) 19.762 * * [simplify]: iters left: 3 (243 enodes) 19.834 * * [simplify]: iters left: 2 (313 enodes) 19.897 * * [simplify]: iters left: 1 (343 enodes) 19.989 * * [simplify]: Extracting #0: cost 1 inf + 0 19.989 * * [simplify]: Extracting #1: cost 3 inf + 0 19.989 * * [simplify]: Extracting #2: cost 11 inf + 0 19.989 * * [simplify]: Extracting #3: cost 45 inf + 1 19.989 * * [simplify]: Extracting #4: cost 78 inf + 456 19.991 * * [simplify]: Extracting #5: cost 39 inf + 6520 19.993 * * [simplify]: Extracting #6: cost 3 inf + 13978 19.996 * * [simplify]: Extracting #7: cost 0 inf + 14566 19.998 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* v v) 6) 2) (* (* v v) 6)) 4)) 19.998 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) (sqrt (+ (* (+ (* (* v v) 6) 2) (* (* v v) 6)) 4))))) 19.999 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 19.999 * [simplify]: Simplifying (sqrt (+ 2 (* 6 (* v v)))) 19.999 * * [simplify]: iters left: 6 (7 enodes) 20.001 * * [simplify]: iters left: 5 (25 enodes) 20.005 * * [simplify]: iters left: 4 (29 enodes) 20.010 * * [simplify]: Extracting #0: cost 1 inf + 0 20.010 * * [simplify]: Extracting #1: cost 3 inf + 0 20.010 * * [simplify]: Extracting #2: cost 6 inf + 0 20.010 * * [simplify]: Extracting #3: cost 10 inf + 1 20.010 * * [simplify]: Extracting #4: cost 9 inf + 44 20.010 * * [simplify]: Extracting #5: cost 4 inf + 414 20.010 * * [simplify]: Extracting #6: cost 1 inf + 742 20.010 * * [simplify]: Extracting #7: cost 0 inf + 905 20.010 * [simplify]: Simplified to (sqrt (+ 2 (* (* v v) 6))) 20.010 * [simplify]: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) (sqrt (+ 2 (* (* v v) 6)))))) 20.011 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 20.011 * [simplify]: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v))))) 20.011 * * [simplify]: iters left: 6 (16 enodes) 20.017 * * [simplify]: iters left: 5 (73 enodes) 20.044 * * [simplify]: iters left: 4 (172 enodes) 20.111 * * [simplify]: iters left: 3 (447 enodes) 20.368 * * [simplify]: Extracting #0: cost 1 inf + 0 20.368 * * [simplify]: Extracting #1: cost 21 inf + 0 20.369 * * [simplify]: Extracting #2: cost 133 inf + 3 20.370 * * [simplify]: Extracting #3: cost 391 inf + 1548 20.377 * * [simplify]: Extracting #4: cost 278 inf + 31303 20.401 * * [simplify]: Extracting #5: cost 49 inf + 101031 20.439 * * [simplify]: Extracting #6: cost 3 inf + 119308 20.462 * * [simplify]: Extracting #7: cost 0 inf + 120929 20.503 * [simplify]: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (* 3 (- PI (* (* PI (* v (* v v))) (* v (* v v)))))) 20.503 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (sqrt (- 2 (* 6 (* v v)))) (* 3 (- PI (* (* PI (* v (* v v))) (* v (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) 20.503 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 20.504 * [simplify]: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v))))) 20.504 * * [simplify]: iters left: 6 (16 enodes) 20.513 * * [simplify]: iters left: 5 (66 enodes) 20.536 * * [simplify]: iters left: 4 (137 enodes) 20.572 * * [simplify]: iters left: 3 (307 enodes) 20.720 * * [simplify]: Extracting #0: cost 1 inf + 0 20.720 * * [simplify]: Extracting #1: cost 22 inf + 0 20.721 * * [simplify]: Extracting #2: cost 95 inf + 3 20.722 * * [simplify]: Extracting #3: cost 171 inf + 901 20.726 * * [simplify]: Extracting #4: cost 123 inf + 8312 20.735 * * [simplify]: Extracting #5: cost 72 inf + 17451 20.749 * * [simplify]: Extracting #6: cost 21 inf + 29775 20.764 * * [simplify]: Extracting #7: cost 0 inf + 36189 20.773 * [simplify]: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (- (* 3 PI) (* (* v v) (* (* v v) (* 3 PI))))) 20.773 * [simplify]: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (sqrt (- 2 (* 6 (* v v)))) (- (* 3 PI) (* (* v v) (* (* v v) (* 3 PI))))) (+ 1 (* v v))))) 20.774 * * * * [progress]: [ 86 / 112 ] simplifiying candidate #real (real->posit16 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))))> 20.774 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 20.774 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 20.774 * [simplify]: Simplifying (/ (exp 2) (exp (* 6 (* v v)))) 20.774 * * [simplify]: iters left: 6 (8 enodes) 20.777 * * [simplify]: iters left: 5 (31 enodes) 20.783 * * [simplify]: iters left: 4 (48 enodes) 20.792 * * [simplify]: iters left: 3 (89 enodes) 20.808 * * [simplify]: iters left: 2 (174 enodes) 20.844 * * [simplify]: iters left: 1 (376 enodes) 20.961 * * [simplify]: Extracting #0: cost 1 inf + 0 20.961 * * [simplify]: Extracting #1: cost 81 inf + 0 20.962 * * [simplify]: Extracting #2: cost 230 inf + 1 20.965 * * [simplify]: Extracting #3: cost 297 inf + 1975 20.973 * * [simplify]: Extracting #4: cost 177 inf + 32581 20.990 * * [simplify]: Extracting #5: cost 40 inf + 83809 21.014 * * [simplify]: Extracting #6: cost 1 inf + 109866 21.040 * * [simplify]: Extracting #7: cost 0 inf + 110518 21.069 * [simplify]: Simplified to (exp (- 2 (* (* v v) 6))) 21.069 * [simplify]: Simplified (2 2 2 1 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (log (exp (- 2 (* (* v v) 6)))))))) 21.070 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 21.070 * * * * [progress]: [ 100 / 112 ] simplifiying candidate #real (real->posit16 (- 2 (* 6 (* v v)))))))))> 21.070 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 21.071 * [simplify]: Simplifying (- (+ (* 4 (/ (pow v 4) (* PI (sqrt 1/2)))) (+ (/ (pow v 2) (* PI (sqrt 1/2))) (+ (* 4/3 (/ (sqrt 1/2) PI)) (+ (* 4/3 (/ (* (pow v 2) (sqrt 1/2)) PI)) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) PI)))))) (* 3/8 (/ (pow v 4) (* PI (pow (sqrt 1/2) 3))))) 21.071 * * [simplify]: iters left: 6 (32 enodes) 21.083 * * [simplify]: iters left: 5 (154 enodes) 21.132 * * [simplify]: iters left: 4 (370 enodes) 21.271 * * [simplify]: Extracting #0: cost 1 inf + 0 21.275 * * [simplify]: Extracting #1: cost 56 inf + 0 21.275 * * [simplify]: Extracting #2: cost 216 inf + 0 21.277 * * [simplify]: Extracting #3: cost 286 inf + 10227 21.290 * * [simplify]: Extracting #4: cost 124 inf + 55725 21.331 * * [simplify]: Extracting #5: cost 20 inf + 95283 21.360 * * [simplify]: Extracting #6: cost 0 inf + 97647 21.402 * * [simplify]: Extracting #7: cost 0 inf + 97487 21.430 * [simplify]: Simplified to (+ (+ (* 4/3 (* (sqrt 1/2) (+ (/ (* (* v v) (* v v)) PI) (* (/ v PI) v)))) (+ (/ (* v v) (* PI (sqrt 1/2))) (* (/ (sqrt 1/2) PI) 4/3))) (* (/ (* (* v v) (* v v)) PI) (- (/ 4 (sqrt 1/2)) (/ 3/4 (sqrt 1/2))))) 21.430 * [simplify]: Simplified (2) to (λ (v) (+ (+ (* 4/3 (* (sqrt 1/2) (+ (/ (* (* v v) (* v v)) PI) (* (/ v PI) v)))) (+ (/ (* v v) (* PI (sqrt 1/2))) (* (/ (sqrt 1/2) PI) 4/3))) (* (/ (* (* v v) (* v v)) PI) (- (/ 4 (sqrt 1/2)) (/ 3/4 (sqrt 1/2)))))) 21.430 * * * * [progress]: [ 102 / 112 ] simplifiying candidate # 21.431 * [simplify]: Simplifying (- (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6))))))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI)))))) 21.431 * * [simplify]: iters left: 6 (41 enodes) 21.453 * * [simplify]: iters left: 5 (200 enodes) 21.511 * * [simplify]: iters left: 4 (494 enodes) 21.685 * * [simplify]: Extracting #0: cost 1 inf + 0 21.686 * * [simplify]: Extracting #1: cost 50 inf + 0 21.687 * * [simplify]: Extracting #2: cost 315 inf + 0 21.697 * * [simplify]: Extracting #3: cost 479 inf + 505 21.704 * * [simplify]: Extracting #4: cost 382 inf + 24912 21.723 * * [simplify]: Extracting #5: cost 210 inf + 86027 21.746 * * [simplify]: Extracting #6: cost 61 inf + 176412 21.776 * * [simplify]: Extracting #7: cost 2 inf + 211157 21.822 * * [simplify]: Extracting #8: cost 0 inf + 212761 21.860 * [simplify]: Simplified to (- (+ (+ (/ 4/81 (* (pow v 7) (* (sqrt -1/6) PI))) (/ (/ 1/27 (* (sqrt -1/6) PI)) (pow v 5))) (- (/ 1/1944 (* (pow v 7) (* (* (sqrt -1/6) -1/6) PI))) (* (/ (sqrt -1/6) PI) (+ (/ (/ 4/3 v) (* v v)) (/ 4/3 (pow v 5)))))) (* (/ 4/3 (pow v 7)) (/ (sqrt -1/6) PI))) 21.860 * [simplify]: Simplified (2) to (λ (v) (- (+ (+ (/ 4/81 (* (pow v 7) (* (sqrt -1/6) PI))) (/ (/ 1/27 (* (sqrt -1/6) PI)) (pow v 5))) (- (/ 1/1944 (* (pow v 7) (* (* (sqrt -1/6) -1/6) PI))) (* (/ (sqrt -1/6) PI) (+ (/ (/ 4/3 v) (* v v)) (/ 4/3 (pow v 5)))))) (* (/ 4/3 (pow v 7)) (/ (sqrt -1/6) PI)))) 21.861 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 21.861 * [simplify]: Simplifying (- (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI))))) (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6)))))))) 21.861 * * [simplify]: iters left: 6 (41 enodes) 21.876 * * [simplify]: iters left: 5 (200 enodes) 21.931 * * [simplify]: iters left: 4 (494 enodes) 22.152 * * [simplify]: Extracting #0: cost 1 inf + 0 22.152 * * [simplify]: Extracting #1: cost 50 inf + 0 22.154 * * [simplify]: Extracting #2: cost 309 inf + 0 22.157 * * [simplify]: Extracting #3: cost 473 inf + 215 22.167 * * [simplify]: Extracting #4: cost 341 inf + 39265 22.188 * * [simplify]: Extracting #5: cost 140 inf + 137491 22.236 * * [simplify]: Extracting #6: cost 38 inf + 194555 22.275 * * [simplify]: Extracting #7: cost 0 inf + 210926 22.312 * [simplify]: Simplified to (- (- (* (+ (+ (/ (sqrt -1/6) (* (pow v 7) PI)) (/ (/ (sqrt -1/6) PI) (pow v 5))) (/ (/ (sqrt -1/6) PI) (* (* v v) v))) 4/3) (/ (/ 4/81 (* PI (sqrt -1/6))) (pow v 7))) (+ (/ 1/27 (* (pow v 5) (* PI (sqrt -1/6)))) (/ 1/1944 (* PI (* (* (sqrt -1/6) (pow v 7)) -1/6))))) 22.312 * [simplify]: Simplified (2) to (λ (v) (- (- (* (+ (+ (/ (sqrt -1/6) (* (pow v 7) PI)) (/ (/ (sqrt -1/6) PI) (pow v 5))) (/ (/ (sqrt -1/6) PI) (* (* v v) v))) 4/3) (/ (/ 4/81 (* PI (sqrt -1/6))) (pow v 7))) (+ (/ 1/27 (* (pow v 5) (* PI (sqrt -1/6)))) (/ 1/1944 (* PI (* (* (sqrt -1/6) (pow v 7)) -1/6)))))) 22.313 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 22.313 * [simplify]: Simplifying (* 6 (pow v 2)) 22.313 * * [simplify]: iters left: 3 (5 enodes) 22.315 * * [simplify]: iters left: 2 (21 enodes) 22.320 * * [simplify]: iters left: 1 (29 enodes) 22.324 * * [simplify]: Extracting #0: cost 1 inf + 0 22.325 * * [simplify]: Extracting #1: cost 6 inf + 0 22.325 * * [simplify]: Extracting #2: cost 6 inf + 43 22.325 * * [simplify]: Extracting #3: cost 0 inf + 333 22.325 * [simplify]: Simplified to (* (* v v) 6) 22.325 * [simplify]: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) 22.325 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 22.325 * [simplify]: Simplifying (* 6 (pow v 2)) 22.325 * * [simplify]: iters left: 3 (5 enodes) 22.327 * * [simplify]: iters left: 2 (21 enodes) 22.331 * * [simplify]: iters left: 1 (29 enodes) 22.338 * * [simplify]: Extracting #0: cost 1 inf + 0 22.338 * * [simplify]: Extracting #1: cost 6 inf + 0 22.338 * * [simplify]: Extracting #2: cost 6 inf + 43 22.338 * * [simplify]: Extracting #3: cost 0 inf + 333 22.338 * [simplify]: Simplified to (* (* v v) 6) 22.338 * [simplify]: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) 22.338 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 22.338 * [simplify]: Simplifying (* 6 (pow v 2)) 22.338 * * [simplify]: iters left: 3 (5 enodes) 22.341 * * [simplify]: iters left: 2 (21 enodes) 22.345 * * [simplify]: iters left: 1 (29 enodes) 22.354 * * [simplify]: Extracting #0: cost 1 inf + 0 22.354 * * [simplify]: Extracting #1: cost 6 inf + 0 22.354 * * [simplify]: Extracting #2: cost 6 inf + 43 22.355 * * [simplify]: Extracting #3: cost 0 inf + 333 22.355 * [simplify]: Simplified to (* (* v v) 6) 22.355 * [simplify]: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) 22.355 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 22.355 * [simplify]: Simplifying (- (+ (* 3 (* (sqrt 2) PI)) (* 9 (/ (* (pow v 4) PI) (sqrt 2)))) (+ (* 27/2 (/ (* (pow v 4) PI) (pow (sqrt 2) 3))) (+ (* 3 (* (sqrt 2) (* (pow v 2) PI))) (* 9 (/ (* (pow v 2) PI) (sqrt 2)))))) 22.356 * * [simplify]: iters left: 6 (27 enodes) 22.372 * * [simplify]: iters left: 5 (132 enodes) 22.400 * * [simplify]: iters left: 4 (311 enodes) 22.505 * * [simplify]: Extracting #0: cost 1 inf + 0 22.505 * * [simplify]: Extracting #1: cost 34 inf + 0 22.505 * * [simplify]: Extracting #2: cost 185 inf + 0 22.506 * * [simplify]: Extracting #3: cost 275 inf + 1159 22.510 * * [simplify]: Extracting #4: cost 173 inf + 15940 22.531 * * [simplify]: Extracting #5: cost 38 inf + 60051 22.563 * * [simplify]: Extracting #6: cost 1 inf + 75300 22.579 * * [simplify]: Extracting #7: cost 0 inf + 75865 22.599 * [simplify]: Simplified to (+ (* (* (sqrt 2) PI) 3) (+ (- (* (/ (* v v) (/ (/ (sqrt 2) PI) (* v v))) 9) (+ (* (/ (* v v) (/ (/ (sqrt 2) PI) (* v v))) 27/4) (* (sqrt 2) (* (* v v) (* PI 3))))) (/ -9 (/ (/ (sqrt 2) PI) (* v v))))) 22.599 * [simplify]: Simplified (2 2) to (λ (v) (/ 4 (+ (* (* (sqrt 2) PI) 3) (+ (- (* (/ (* v v) (/ (/ (sqrt 2) PI) (* v v))) 9) (+ (* (/ (* v v) (/ (/ (sqrt 2) PI) (* v v))) 27/4) (* (sqrt 2) (* (* v v) (* PI 3))))) (/ -9 (/ (/ (sqrt 2) PI) (* v v))))))) 22.599 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 22.600 * [simplify]: Simplifying (- (+ (* 3 (* v (* (sqrt -6) PI))) (+ (* 3 (/ PI (* v (sqrt -6)))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3)))))) (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI))))) 22.600 * * [simplify]: iters left: 6 (26 enodes) 22.610 * * [simplify]: iters left: 5 (132 enodes) 22.645 * * [simplify]: iters left: 4 (335 enodes) 22.785 * * [simplify]: Extracting #0: cost 1 inf + 0 22.785 * * [simplify]: Extracting #1: cost 38 inf + 0 22.785 * * [simplify]: Extracting #2: cost 184 inf + 0 22.787 * * [simplify]: Extracting #3: cost 231 inf + 5143 22.793 * * [simplify]: Extracting #4: cost 96 inf + 34886 22.806 * * [simplify]: Extracting #5: cost 28 inf + 57904 22.819 * * [simplify]: Extracting #6: cost 5 inf + 63254 22.841 * * [simplify]: Extracting #7: cost 0 inf + 65032 22.871 * [simplify]: Simplified to (+ (+ (* (/ PI (* (sqrt -6) v)) -1/4) (* (/ PI (* (sqrt -6) v)) 3)) (* 3 (- (* (* (sqrt -6) PI) v) (+ (* (* (* (sqrt -6) PI) v) (* v v)) (/ (* v PI) (sqrt -6)))))) 22.871 * [simplify]: Simplified (2 2) to (λ (v) (/ 4 (+ (+ (* (/ PI (* (sqrt -6) v)) -1/4) (* (/ PI (* (sqrt -6) v)) 3)) (* 3 (- (* (* (sqrt -6) PI) v) (+ (* (* (* (sqrt -6) PI) v) (* v v)) (/ (* v PI) (sqrt -6)))))))) 22.872 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 22.872 * [simplify]: Simplifying (- (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 3 (/ PI (* v (sqrt -6)))) (+ (* 3 (* v (* (sqrt -6) PI))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3))))))) 22.872 * * [simplify]: iters left: 6 (26 enodes) 22.888 * * [simplify]: iters left: 5 (132 enodes) 22.925 * * [simplify]: iters left: 4 (334 enodes) 23.024 * * [simplify]: Extracting #0: cost 1 inf + 0 23.024 * * [simplify]: Extracting #1: cost 34 inf + 0 23.025 * * [simplify]: Extracting #2: cost 189 inf + 0 23.029 * * [simplify]: Extracting #3: cost 238 inf + 5901 23.042 * * [simplify]: Extracting #4: cost 94 inf + 36597 23.071 * * [simplify]: Extracting #5: cost 29 inf + 55876 23.096 * * [simplify]: Extracting #6: cost 12 inf + 60059 23.110 * * [simplify]: Extracting #7: cost 0 inf + 64883 23.131 * * [simplify]: Extracting #8: cost 0 inf + 64843 23.158 * [simplify]: Simplified to (- (* 3 (- (+ (* (sqrt -6) (* (* v v) (* PI v))) (- (/ (* PI v) (sqrt -6)) (/ PI (* (sqrt -6) v)))) (* (* PI v) (sqrt -6)))) (* (/ PI (* (sqrt -6) v)) -1/4)) 23.158 * [simplify]: Simplified (2 2) to (λ (v) (/ 4 (- (* 3 (- (+ (* (sqrt -6) (* (* v v) (* PI v))) (- (/ (* PI v) (sqrt -6)) (/ PI (* (sqrt -6) v)))) (* (* PI v) (sqrt -6)))) (* (/ PI (* (sqrt -6) v)) -1/4)))) 23.159 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 23.159 * [simplify]: Simplifying (- 2 (* 6 (pow v 2))) 23.159 * * [simplify]: iters left: 5 (6 enodes) 23.163 * * [simplify]: iters left: 4 (26 enodes) 23.173 * * [simplify]: iters left: 3 (44 enodes) 23.190 * * [simplify]: iters left: 2 (64 enodes) 23.208 * * [simplify]: iters left: 1 (72 enodes) 23.216 * * [simplify]: Extracting #0: cost 1 inf + 0 23.216 * * [simplify]: Extracting #1: cost 5 inf + 0 23.216 * * [simplify]: Extracting #2: cost 14 inf + 1 23.216 * * [simplify]: Extracting #3: cost 13 inf + 167 23.217 * * [simplify]: Extracting #4: cost 2 inf + 867 23.217 * * [simplify]: Extracting #5: cost 0 inf + 1072 23.217 * [simplify]: Simplified to (+ 2 (* -6 (* v v))) 23.217 * [simplify]: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) 23.217 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 23.218 * [simplify]: Simplifying (- 2 (* 6 (pow v 2))) 23.218 * * [simplify]: iters left: 5 (6 enodes) 23.220 * * [simplify]: iters left: 4 (26 enodes) 23.225 * * [simplify]: iters left: 3 (44 enodes) 23.233 * * [simplify]: iters left: 2 (64 enodes) 23.248 * * [simplify]: iters left: 1 (72 enodes) 23.267 * * [simplify]: Extracting #0: cost 1 inf + 0 23.267 * * [simplify]: Extracting #1: cost 5 inf + 0 23.267 * * [simplify]: Extracting #2: cost 14 inf + 1 23.267 * * [simplify]: Extracting #3: cost 13 inf + 167 23.268 * * [simplify]: Extracting #4: cost 2 inf + 867 23.268 * * [simplify]: Extracting #5: cost 0 inf + 1072 23.269 * [simplify]: Simplified to (+ 2 (* -6 (* v v))) 23.269 * [simplify]: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) 23.269 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 23.270 * [simplify]: Simplifying (- 2 (* 6 (pow v 2))) 23.270 * * [simplify]: iters left: 5 (6 enodes) 23.274 * * [simplify]: iters left: 4 (26 enodes) 23.283 * * [simplify]: iters left: 3 (44 enodes) 23.298 * * [simplify]: iters left: 2 (64 enodes) 23.317 * * [simplify]: iters left: 1 (72 enodes) 23.337 * * [simplify]: Extracting #0: cost 1 inf + 0 23.337 * * [simplify]: Extracting #1: cost 5 inf + 0 23.337 * * [simplify]: Extracting #2: cost 14 inf + 1 23.337 * * [simplify]: Extracting #3: cost 13 inf + 167 23.338 * * [simplify]: Extracting #4: cost 2 inf + 867 23.339 * * [simplify]: Extracting #5: cost 0 inf + 1072 23.339 * [simplify]: Simplified to (+ 2 (* -6 (* v v))) 23.339 * [simplify]: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) 23.340 * * * [progress]: adding candidates to table 24.515 * [progress]: [Phase 3 of 3] Extracting. 24.515 * * [regime]: Finding splitpoints for: (# #) 24.515 * * * [regime-changes]: Trying 4 branch expressions: (v (* v v) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) 24.515 * * * * [regimes]: Trying to branch on v from (# #) 24.553 * * * * [regimes]: Trying to branch on (* v v) from (# #) 24.569 * * * * [regimes]: Trying to branch on (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) from (# #) 24.588 * * * * [regimes]: Trying to branch on (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) from (# #) 24.629 * * * [regime]: Found split indices: #