0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.056 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.056 * [simplify]: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 0.056 * * [simplify]: iters left: 6 (16 enodes) 0.062 * * [simplify]: iters left: 5 (66 enodes) 0.080 * * [simplify]: iters left: 4 (138 enodes) 0.149 * * [simplify]: iters left: 3 (302 enodes) 0.254 * * [simplify]: Extracting #0: cost 1 inf + 0 0.254 * * [simplify]: Extracting #1: cost 10 inf + 0 0.254 * * [simplify]: Extracting #2: cost 60 inf + 1 0.255 * * [simplify]: Extracting #3: cost 150 inf + 131 0.256 * * [simplify]: Extracting #4: cost 119 inf + 3082 0.260 * * [simplify]: Extracting #5: cost 33 inf + 19156 0.266 * * [simplify]: Extracting #6: cost 1 inf + 26718 0.273 * * [simplify]: Extracting #7: cost 0 inf + 26938 0.287 * [simplify]: Simplified to (/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2))) 0.287 * [simplify]: Simplified (2) to (λ (v) (/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.371 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2) 0.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.422 * * * [progress]: generating series expansions 0.422 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.422 * [backup-simplify]: Simplify (/ 4/3 (- PI (* v (* PI v)))) into (/ 4/3 (- PI (* (pow v 2) PI))) 0.422 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 0.422 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 0.422 * [taylor]: Taking taylor expansion of 4/3 in v 0.422 * [backup-simplify]: Simplify 4/3 into 4/3 0.422 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.422 * [taylor]: Taking taylor expansion of PI in v 0.422 * [backup-simplify]: Simplify PI into PI 0.422 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.422 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.422 * [taylor]: Taking taylor expansion of v in v 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of PI in v 0.422 * [backup-simplify]: Simplify PI into PI 0.423 * [backup-simplify]: Simplify (+ PI 0) into PI 0.424 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.424 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 0.424 * [taylor]: Taking taylor expansion of 4/3 in v 0.424 * [backup-simplify]: Simplify 4/3 into 4/3 0.424 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.424 * [taylor]: Taking taylor expansion of PI in v 0.424 * [backup-simplify]: Simplify PI into PI 0.424 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.424 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.424 * [taylor]: Taking taylor expansion of v in v 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of PI in v 0.424 * [backup-simplify]: Simplify PI into PI 0.425 * [backup-simplify]: Simplify (+ PI 0) into PI 0.425 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.426 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 PI) into PI 0.428 * [backup-simplify]: Simplify (- PI) into (- PI) 0.429 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.435 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 0.436 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [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)) 0.450 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 0.451 * [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)))) 0.451 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 0.451 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 0.451 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.451 * [taylor]: Taking taylor expansion of 4/3 in v 0.451 * [backup-simplify]: Simplify 4/3 into 4/3 0.451 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.451 * [taylor]: Taking taylor expansion of PI in v 0.451 * [backup-simplify]: Simplify PI into PI 0.451 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.452 * [taylor]: Taking taylor expansion of PI in v 0.452 * [backup-simplify]: Simplify PI into PI 0.452 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.452 * [taylor]: Taking taylor expansion of v in v 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ PI 1) into PI 0.452 * [backup-simplify]: Simplify (- PI) into (- PI) 0.453 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.454 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.454 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.454 * [taylor]: Taking taylor expansion of 4/3 in v 0.454 * [backup-simplify]: Simplify 4/3 into 4/3 0.454 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.454 * [taylor]: Taking taylor expansion of PI in v 0.454 * [backup-simplify]: Simplify PI into PI 0.454 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.454 * [taylor]: Taking taylor expansion of PI in v 0.454 * [backup-simplify]: Simplify PI into PI 0.454 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.454 * [taylor]: Taking taylor expansion of v in v 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ PI 1) into PI 0.455 * [backup-simplify]: Simplify (- PI) into (- PI) 0.455 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.456 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.456 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ PI 0) into PI 0.463 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.464 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [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))) 0.476 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.478 * [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)))))) 0.478 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 0.478 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.478 * [taylor]: Taking taylor expansion of 4/3 in v 0.478 * [backup-simplify]: Simplify 4/3 into 4/3 0.478 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.478 * [taylor]: Taking taylor expansion of PI in v 0.478 * [backup-simplify]: Simplify PI into PI 0.478 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.478 * [taylor]: Taking taylor expansion of PI in v 0.478 * [backup-simplify]: Simplify PI into PI 0.479 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.479 * [taylor]: Taking taylor expansion of v in v 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ PI 1) into PI 0.479 * [backup-simplify]: Simplify (- PI) into (- PI) 0.480 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.480 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.480 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 0.480 * [taylor]: Taking taylor expansion of 4/3 in v 0.480 * [backup-simplify]: Simplify 4/3 into 4/3 0.480 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.480 * [taylor]: Taking taylor expansion of PI in v 0.480 * [backup-simplify]: Simplify PI into PI 0.480 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.480 * [taylor]: Taking taylor expansion of PI in v 0.480 * [backup-simplify]: Simplify PI into PI 0.481 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.481 * [taylor]: Taking taylor expansion of v in v 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ PI 1) into PI 0.481 * [backup-simplify]: Simplify (- PI) into (- PI) 0.482 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.482 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 0.483 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ PI 0) into PI 0.490 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 0.491 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [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))) 0.503 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 0.506 * [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)))))) 0.506 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2) 0.506 * [backup-simplify]: Simplify (* PI v) into (* v PI) 0.506 * [approximate]: Taking taylor expansion of (* v PI) in (v) around 0 0.506 * [taylor]: Taking taylor expansion of (* v PI) in v 0.506 * [taylor]: Taking taylor expansion of v in v 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of PI in v 0.506 * [backup-simplify]: Simplify PI into PI 0.506 * [taylor]: Taking taylor expansion of (* v PI) in v 0.506 * [taylor]: Taking taylor expansion of v in v 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of PI in v 0.506 * [backup-simplify]: Simplify PI into PI 0.506 * [backup-simplify]: Simplify (* 0 PI) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.507 * [backup-simplify]: Simplify PI into PI 0.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* PI v) into (* v PI) 0.512 * [backup-simplify]: Simplify (* PI (/ 1 v)) into (/ PI v) 0.512 * [approximate]: Taking taylor expansion of (/ PI v) in (v) around 0 0.512 * [taylor]: Taking taylor expansion of (/ PI v) in v 0.512 * [taylor]: Taking taylor expansion of PI in v 0.512 * [backup-simplify]: Simplify PI into PI 0.512 * [taylor]: Taking taylor expansion of v in v 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ PI 1) into PI 0.512 * [taylor]: Taking taylor expansion of (/ PI v) in v 0.512 * [taylor]: Taking taylor expansion of PI in v 0.512 * [backup-simplify]: Simplify PI into PI 0.513 * [taylor]: Taking taylor expansion of v in v 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (/ PI 1) into PI 0.513 * [backup-simplify]: Simplify PI into PI 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [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 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 v))) into (* v PI) 0.517 * [backup-simplify]: Simplify (* PI (/ 1 (- v))) into (* -1 (/ PI v)) 0.517 * [approximate]: Taking taylor expansion of (* -1 (/ PI v)) in (v) around 0 0.517 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 0.517 * [taylor]: Taking taylor expansion of -1 in v 0.517 * [backup-simplify]: Simplify -1 into -1 0.517 * [taylor]: Taking taylor expansion of (/ PI v) in v 0.517 * [taylor]: Taking taylor expansion of PI in v 0.517 * [backup-simplify]: Simplify PI into PI 0.517 * [taylor]: Taking taylor expansion of v in v 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ PI 1) into PI 0.517 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 0.517 * [taylor]: Taking taylor expansion of -1 in v 0.517 * [backup-simplify]: Simplify -1 into -1 0.517 * [taylor]: Taking taylor expansion of (/ PI v) in v 0.517 * [taylor]: Taking taylor expansion of PI in v 0.517 * [backup-simplify]: Simplify PI into PI 0.517 * [taylor]: Taking taylor expansion of v in v 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ PI 1) into PI 0.518 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.518 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.529 * [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 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- v)))) into (* v PI) 0.531 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.532 * [backup-simplify]: Simplify (* v (* PI v)) into (* (pow v 2) PI) 0.532 * [approximate]: Taking taylor expansion of (* (pow v 2) PI) in (v) around 0 0.532 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.532 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.532 * [taylor]: Taking taylor expansion of v in v 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [taylor]: Taking taylor expansion of PI in v 0.532 * [backup-simplify]: Simplify PI into PI 0.532 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.532 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.532 * [taylor]: Taking taylor expansion of v in v 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [taylor]: Taking taylor expansion of PI in v 0.532 * [backup-simplify]: Simplify PI into PI 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (* 1 PI) into PI 0.533 * [backup-simplify]: Simplify PI into PI 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (* PI (pow v 2)) into (* (pow v 2) PI) 0.547 * [backup-simplify]: Simplify (* (/ 1 v) (* PI (/ 1 v))) into (/ PI (pow v 2)) 0.547 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 0.547 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.547 * [taylor]: Taking taylor expansion of PI in v 0.547 * [backup-simplify]: Simplify PI into PI 0.547 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.547 * [taylor]: Taking taylor expansion of v in v 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ PI 1) into PI 0.548 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.548 * [taylor]: Taking taylor expansion of PI in v 0.548 * [backup-simplify]: Simplify PI into PI 0.548 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.548 * [taylor]: Taking taylor expansion of v in v 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ PI 1) into PI 0.549 * [backup-simplify]: Simplify PI into PI 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [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 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.557 * [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 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 v)) 2)) into (* (pow v 2) PI) 0.557 * [backup-simplify]: Simplify (* (/ 1 (- v)) (* PI (/ 1 (- v)))) into (/ PI (pow v 2)) 0.557 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 0.557 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.557 * [taylor]: Taking taylor expansion of PI in v 0.557 * [backup-simplify]: Simplify PI into PI 0.557 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.557 * [taylor]: Taking taylor expansion of v in v 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ PI 1) into PI 0.558 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.558 * [taylor]: Taking taylor expansion of PI in v 0.558 * [backup-simplify]: Simplify PI into PI 0.558 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.558 * [taylor]: Taking taylor expansion of v in v 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ PI 1) into PI 0.558 * [backup-simplify]: Simplify PI into PI 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.566 * [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 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 (- v))) 2)) into (* (pow v 2) PI) 0.566 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.566 * [backup-simplify]: Simplify (- PI (* v (* PI v))) into (- PI (* (pow v 2) PI)) 0.566 * [approximate]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in (v) around 0 0.566 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.566 * [taylor]: Taking taylor expansion of PI in v 0.566 * [backup-simplify]: Simplify PI into PI 0.566 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.566 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.566 * [taylor]: Taking taylor expansion of v in v 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of PI in v 0.566 * [backup-simplify]: Simplify PI into PI 0.566 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 0.566 * [taylor]: Taking taylor expansion of PI in v 0.566 * [backup-simplify]: Simplify PI into PI 0.566 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 0.566 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.566 * [taylor]: Taking taylor expansion of v in v 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of PI in v 0.566 * [backup-simplify]: Simplify PI into PI 0.567 * [backup-simplify]: Simplify (+ PI 0) into PI 0.567 * [backup-simplify]: Simplify PI into PI 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (* 1 PI) into PI 0.568 * [backup-simplify]: Simplify (- PI) into (- PI) 0.568 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.569 * [backup-simplify]: Simplify (- PI) into (- PI) 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* (- PI) (pow v 2)) PI) into (- PI (* (pow v 2) PI)) 0.580 * [backup-simplify]: Simplify (- PI (* (/ 1 v) (* PI (/ 1 v)))) into (- PI (/ PI (pow v 2))) 0.580 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 0.580 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.580 * [taylor]: Taking taylor expansion of PI in v 0.580 * [backup-simplify]: Simplify PI into PI 0.580 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.580 * [taylor]: Taking taylor expansion of PI in v 0.580 * [backup-simplify]: Simplify PI into PI 0.580 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.580 * [taylor]: Taking taylor expansion of v in v 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ PI 1) into PI 0.580 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.580 * [taylor]: Taking taylor expansion of PI in v 0.580 * [backup-simplify]: Simplify PI into PI 0.580 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.580 * [taylor]: Taking taylor expansion of PI in v 0.580 * [backup-simplify]: Simplify PI into PI 0.580 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.580 * [taylor]: Taking taylor expansion of v in v 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ PI 1) into PI 0.581 * [backup-simplify]: Simplify (- PI) into (- PI) 0.582 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.582 * [backup-simplify]: Simplify (- PI) into (- PI) 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ PI 0) into PI 0.587 * [backup-simplify]: Simplify PI into PI 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.598 * [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 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.602 * [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 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.606 * [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 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 v)) 2))) into (- PI (* (pow v 2) PI)) 0.607 * [backup-simplify]: Simplify (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))) into (- PI (/ PI (pow v 2))) 0.607 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 0.607 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.607 * [taylor]: Taking taylor expansion of PI in v 0.608 * [backup-simplify]: Simplify PI into PI 0.608 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.608 * [taylor]: Taking taylor expansion of PI in v 0.608 * [backup-simplify]: Simplify PI into PI 0.608 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.608 * [taylor]: Taking taylor expansion of v in v 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (/ PI 1) into PI 0.609 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 0.609 * [taylor]: Taking taylor expansion of PI in v 0.609 * [backup-simplify]: Simplify PI into PI 0.609 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 0.609 * [taylor]: Taking taylor expansion of PI in v 0.609 * [backup-simplify]: Simplify PI into PI 0.609 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.609 * [taylor]: Taking taylor expansion of v in v 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (/ PI 1) into PI 0.610 * [backup-simplify]: Simplify (- PI) into (- PI) 0.611 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 0.611 * [backup-simplify]: Simplify (- PI) into (- PI) 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ PI 0) into PI 0.616 * [backup-simplify]: Simplify PI into PI 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.628 * [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 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.631 * [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 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.635 * [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 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 (- v))) 2))) into (- PI (* (pow v 2) PI)) 0.636 * * * [progress]: simplifying candidates 0.636 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 0.636 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 0.636 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 0.636 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 0.637 * [simplify]: Simplifying (- (log 4/3) (log (- PI (* v (* PI v))))) 0.637 * * [simplify]: iters left: 6 (9 enodes) 0.642 * * [simplify]: iters left: 5 (33 enodes) 0.655 * * [simplify]: iters left: 4 (48 enodes) 0.670 * * [simplify]: iters left: 3 (72 enodes) 0.683 * * [simplify]: iters left: 2 (79 enodes) 0.693 * * [simplify]: iters left: 1 (96 enodes) 0.706 * * [simplify]: Extracting #0: cost 1 inf + 0 0.706 * * [simplify]: Extracting #1: cost 7 inf + 0 0.706 * * [simplify]: Extracting #2: cost 17 inf + 0 0.706 * * [simplify]: Extracting #3: cost 27 inf + 144 0.706 * * [simplify]: Extracting #4: cost 29 inf + 574 0.707 * * [simplify]: Extracting #5: cost 6 inf + 3403 0.709 * * [simplify]: Extracting #6: cost 0 inf + 4187 0.711 * * [simplify]: Extracting #7: cost 0 inf + 4168 0.712 * [simplify]: Simplified to (- (log 4/3) (log (- PI (* v (* PI v))))) 0.712 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (exp (- (log 4/3) (log (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 0.713 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 0.713 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 0.713 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 0.713 * [simplify]: Simplifying (/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* v (* PI v))) (- PI (* v (* PI v)))) (- PI (* v (* PI v))))) 0.713 * * [simplify]: iters left: 6 (11 enodes) 0.720 * * [simplify]: iters left: 5 (47 enodes) 0.736 * * [simplify]: iters left: 4 (114 enodes) 0.763 * * [simplify]: iters left: 3 (340 enodes) 0.960 * * [simplify]: Extracting #0: cost 1 inf + 0 0.960 * * [simplify]: Extracting #1: cost 39 inf + 0 0.960 * * [simplify]: Extracting #2: cost 128 inf + 3 0.961 * * [simplify]: Extracting #3: cost 261 inf + 1604 0.969 * * [simplify]: Extracting #4: cost 91 inf + 36328 0.983 * * [simplify]: Extracting #5: cost 1 inf + 56089 1.006 * * [simplify]: Extracting #6: cost 0 inf + 56332 1.021 * [simplify]: Simplified to (/ 64/27 (* (- PI (* v (* PI v))) (* (- PI (* v (* PI v))) (- PI (* v (* PI v)))))) 1.021 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (cbrt (/ 64/27 (* (- PI (* v (* PI v))) (* (- PI (* v (* PI v))) (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 1.021 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 1.021 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 1.021 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 1.021 * * * * [progress]: [ 11 / 107 ] simplifiying candidate # 1.021 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 1.021 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) 1.022 * * [simplify]: iters left: 6 (11 enodes) 1.025 * * [simplify]: iters left: 5 (43 enodes) 1.031 * * [simplify]: iters left: 4 (70 enodes) 1.045 * * [simplify]: iters left: 3 (101 enodes) 1.059 * * [simplify]: iters left: 2 (111 enodes) 1.073 * * [simplify]: iters left: 1 (125 enodes) 1.088 * * [simplify]: Extracting #0: cost 1 inf + 0 1.088 * * [simplify]: Extracting #1: cost 11 inf + 0 1.088 * * [simplify]: Extracting #2: cost 22 inf + 0 1.088 * * [simplify]: Extracting #3: cost 35 inf + 1 1.089 * * [simplify]: Extracting #4: cost 40 inf + 167 1.089 * * [simplify]: Extracting #5: cost 17 inf + 2282 1.090 * * [simplify]: Extracting #6: cost 2 inf + 6402 1.093 * * [simplify]: Extracting #7: cost 0 inf + 7048 1.095 * [simplify]: Simplified to (* (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI))))) 1.095 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 1.096 * [simplify]: Simplifying (/ (cbrt 4/3) (cbrt (- PI (* v (* PI v))))) 1.096 * * [simplify]: iters left: 6 (9 enodes) 1.100 * * [simplify]: iters left: 5 (31 enodes) 1.110 * * [simplify]: iters left: 4 (43 enodes) 1.125 * * [simplify]: iters left: 3 (67 enodes) 1.146 * * [simplify]: iters left: 2 (74 enodes) 1.164 * * [simplify]: iters left: 1 (88 enodes) 1.175 * * [simplify]: Extracting #0: cost 1 inf + 0 1.176 * * [simplify]: Extracting #1: cost 4 inf + 0 1.176 * * [simplify]: Extracting #2: cost 8 inf + 0 1.176 * * [simplify]: Extracting #3: cost 21 inf + 1 1.176 * * [simplify]: Extracting #4: cost 23 inf + 451 1.176 * * [simplify]: Extracting #5: cost 5 inf + 2201 1.177 * * [simplify]: Extracting #6: cost 0 inf + 2772 1.177 * [simplify]: Simplified to (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.177 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 1.178 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 1.178 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* v (* PI v))))) 1.178 * * [simplify]: iters left: 6 (10 enodes) 1.181 * * [simplify]: iters left: 5 (36 enodes) 1.187 * * [simplify]: iters left: 4 (52 enodes) 1.199 * * [simplify]: iters left: 3 (79 enodes) 1.223 * * [simplify]: iters left: 2 (86 enodes) 1.249 * * [simplify]: iters left: 1 (100 enodes) 1.274 * * [simplify]: Extracting #0: cost 1 inf + 0 1.274 * * [simplify]: Extracting #1: cost 7 inf + 0 1.275 * * [simplify]: Extracting #2: cost 14 inf + 0 1.275 * * [simplify]: Extracting #3: cost 27 inf + 1 1.275 * * [simplify]: Extracting #4: cost 29 inf + 371 1.276 * * [simplify]: Extracting #5: cost 6 inf + 2931 1.278 * * [simplify]: Extracting #6: cost 0 inf + 4066 1.279 * [simplify]: Simplified to (/ (cbrt 4/3) (/ (sqrt (- PI (* PI (* v v)))) (cbrt 4/3))) 1.279 * [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 (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 1.280 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) 1.280 * * [simplify]: iters left: 6 (9 enodes) 1.285 * * [simplify]: iters left: 5 (31 enodes) 1.295 * * [simplify]: iters left: 4 (43 enodes) 1.310 * * [simplify]: iters left: 3 (67 enodes) 1.330 * * [simplify]: iters left: 2 (74 enodes) 1.350 * * [simplify]: iters left: 1 (88 enodes) 1.364 * * [simplify]: Extracting #0: cost 1 inf + 0 1.364 * * [simplify]: Extracting #1: cost 4 inf + 0 1.364 * * [simplify]: Extracting #2: cost 8 inf + 0 1.364 * * [simplify]: Extracting #3: cost 21 inf + 1 1.364 * * [simplify]: Extracting #4: cost 23 inf + 451 1.365 * * [simplify]: Extracting #5: cost 5 inf + 2081 1.365 * * [simplify]: Extracting #6: cost 0 inf + 2612 1.366 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.366 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* v (* PI v))))) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 1.366 * * * * [progress]: [ 14 / 107 ] simplifiying candidate # 1.366 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) 1) 1.366 * * [simplify]: iters left: 5 (5 enodes) 1.368 * * [simplify]: iters left: 4 (17 enodes) 1.372 * * [simplify]: iters left: 3 (27 enodes) 1.378 * * [simplify]: iters left: 2 (28 enodes) 1.382 * * [simplify]: Extracting #0: cost 1 inf + 0 1.382 * * [simplify]: Extracting #1: cost 5 inf + 0 1.382 * * [simplify]: Extracting #2: cost 7 inf + 1 1.383 * * [simplify]: Extracting #3: cost 6 inf + 2 1.383 * * [simplify]: Extracting #4: cost 1 inf + 528 1.383 * * [simplify]: Extracting #5: cost 0 inf + 650 1.383 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 1.383 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 1.384 * [simplify]: Simplifying (/ (cbrt 4/3) (- PI (* v (* PI v)))) 1.384 * * [simplify]: iters left: 6 (8 enodes) 1.389 * * [simplify]: iters left: 5 (28 enodes) 1.398 * * [simplify]: iters left: 4 (40 enodes) 1.412 * * [simplify]: iters left: 3 (64 enodes) 1.425 * * [simplify]: iters left: 2 (71 enodes) 1.435 * * [simplify]: iters left: 1 (87 enodes) 1.447 * * [simplify]: Extracting #0: cost 1 inf + 0 1.447 * * [simplify]: Extracting #1: cost 6 inf + 0 1.447 * * [simplify]: Extracting #2: cost 21 inf + 1 1.447 * * [simplify]: Extracting #3: cost 26 inf + 167 1.448 * * [simplify]: Extracting #4: cost 12 inf + 1259 1.449 * * [simplify]: Extracting #5: cost 0 inf + 2614 1.450 * [simplify]: Simplified to (/ (cbrt 4/3) (- PI (* v (* PI v)))) 1.450 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 1.450 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 1.451 * [simplify]: Simplifying (/ (sqrt 4/3) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) 1.451 * * [simplify]: iters left: 6 (10 enodes) 1.456 * * [simplify]: iters left: 5 (36 enodes) 1.468 * * [simplify]: iters left: 4 (50 enodes) 1.484 * * [simplify]: iters left: 3 (74 enodes) 1.507 * * [simplify]: iters left: 2 (81 enodes) 1.520 * * [simplify]: iters left: 1 (95 enodes) 1.533 * * [simplify]: Extracting #0: cost 1 inf + 0 1.533 * * [simplify]: Extracting #1: cost 6 inf + 0 1.533 * * [simplify]: Extracting #2: cost 12 inf + 0 1.533 * * [simplify]: Extracting #3: cost 25 inf + 1 1.534 * * [simplify]: Extracting #4: cost 26 inf + 372 1.534 * * [simplify]: Extracting #5: cost 3 inf + 3296 1.535 * * [simplify]: Extracting #6: cost 0 inf + 3742 1.536 * [simplify]: Simplified to (/ (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) (cbrt (- PI (* (* v v) PI)))) 1.536 * [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 (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 1.536 * [simplify]: Simplifying (/ (sqrt 4/3) (cbrt (- PI (* v (* PI v))))) 1.536 * * [simplify]: iters left: 6 (9 enodes) 1.539 * * [simplify]: iters left: 5 (31 enodes) 1.550 * * [simplify]: iters left: 4 (43 enodes) 1.564 * * [simplify]: iters left: 3 (67 enodes) 1.585 * * [simplify]: iters left: 2 (74 enodes) 1.605 * * [simplify]: iters left: 1 (88 enodes) 1.631 * * [simplify]: Extracting #0: cost 1 inf + 0 1.631 * * [simplify]: Extracting #1: cost 4 inf + 0 1.631 * * [simplify]: Extracting #2: cost 8 inf + 0 1.631 * * [simplify]: Extracting #3: cost 21 inf + 1 1.631 * * [simplify]: Extracting #4: cost 23 inf + 371 1.632 * * [simplify]: Extracting #5: cost 5 inf + 2081 1.633 * * [simplify]: Extracting #6: cost 0 inf + 2612 1.634 * [simplify]: Simplified to (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI)))) 1.635 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 4/3) (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (cbrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 1.635 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 1.635 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) 1.635 * * [simplify]: iters left: 6 (9 enodes) 1.640 * * [simplify]: iters left: 5 (31 enodes) 1.651 * * [simplify]: iters left: 4 (43 enodes) 1.664 * * [simplify]: iters left: 3 (67 enodes) 1.673 * * [simplify]: iters left: 2 (74 enodes) 1.685 * * [simplify]: iters left: 1 (88 enodes) 1.708 * * [simplify]: Extracting #0: cost 1 inf + 0 1.708 * * [simplify]: Extracting #1: cost 4 inf + 0 1.708 * * [simplify]: Extracting #2: cost 8 inf + 0 1.708 * * [simplify]: Extracting #3: cost 21 inf + 1 1.708 * * [simplify]: Extracting #4: cost 23 inf + 371 1.708 * * [simplify]: Extracting #5: cost 5 inf + 1961 1.709 * * [simplify]: Extracting #6: cost 0 inf + 2452 1.710 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.710 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 1.710 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) 1.710 * * [simplify]: iters left: 6 (9 enodes) 1.713 * * [simplify]: iters left: 5 (31 enodes) 1.717 * * [simplify]: iters left: 4 (43 enodes) 1.727 * * [simplify]: iters left: 3 (67 enodes) 1.739 * * [simplify]: iters left: 2 (74 enodes) 1.753 * * [simplify]: iters left: 1 (88 enodes) 1.764 * * [simplify]: Extracting #0: cost 1 inf + 0 1.764 * * [simplify]: Extracting #1: cost 4 inf + 0 1.764 * * [simplify]: Extracting #2: cost 8 inf + 0 1.764 * * [simplify]: Extracting #3: cost 21 inf + 1 1.765 * * [simplify]: Extracting #4: cost 23 inf + 371 1.765 * * [simplify]: Extracting #5: cost 5 inf + 1961 1.766 * * [simplify]: Extracting #6: cost 0 inf + 2452 1.766 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 1.766 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 1.766 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 1.767 * [simplify]: Simplifying (/ (sqrt 4/3) 1) 1.767 * * [simplify]: iters left: 3 (4 enodes) 1.768 * * [simplify]: iters left: 2 (12 enodes) 1.771 * * [simplify]: iters left: 1 (14 enodes) 1.773 * * [simplify]: Extracting #0: cost 1 inf + 0 1.773 * * [simplify]: Extracting #1: cost 4 inf + 0 1.773 * * [simplify]: Extracting #2: cost 0 inf + 84 1.773 * [simplify]: Simplified to (sqrt 4/3) 1.773 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 1.773 * [simplify]: Simplifying (/ (sqrt 4/3) (- PI (* v (* PI v)))) 1.774 * * [simplify]: iters left: 6 (8 enodes) 1.776 * * [simplify]: iters left: 5 (28 enodes) 1.782 * * [simplify]: iters left: 4 (40 enodes) 1.795 * * [simplify]: iters left: 3 (64 enodes) 1.805 * * [simplify]: iters left: 2 (71 enodes) 1.817 * * [simplify]: iters left: 1 (87 enodes) 1.833 * * [simplify]: Extracting #0: cost 1 inf + 0 1.833 * * [simplify]: Extracting #1: cost 6 inf + 0 1.833 * * [simplify]: Extracting #2: cost 21 inf + 1 1.833 * * [simplify]: Extracting #3: cost 26 inf + 167 1.834 * * [simplify]: Extracting #4: cost 12 inf + 1219 1.834 * * [simplify]: Extracting #5: cost 0 inf + 2374 1.835 * [simplify]: Simplified to (/ (sqrt 4/3) (- PI (* v (* PI v)))) 1.835 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 1.835 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 1.835 * [simplify]: Simplifying (/ 1 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) 1.835 * * [simplify]: iters left: 6 (9 enodes) 1.838 * * [simplify]: iters left: 5 (35 enodes) 1.843 * * [simplify]: iters left: 4 (51 enodes) 1.851 * * [simplify]: iters left: 3 (75 enodes) 1.866 * * [simplify]: iters left: 2 (81 enodes) 1.887 * * [simplify]: iters left: 1 (91 enodes) 1.907 * * [simplify]: Extracting #0: cost 1 inf + 0 1.907 * * [simplify]: Extracting #1: cost 6 inf + 0 1.907 * * [simplify]: Extracting #2: cost 9 inf + 1 1.907 * * [simplify]: Extracting #3: cost 23 inf + 1 1.907 * * [simplify]: Extracting #4: cost 25 inf + 371 1.908 * * [simplify]: Extracting #5: cost 4 inf + 2774 1.908 * * [simplify]: Extracting #6: cost 0 inf + 3499 1.909 * [simplify]: Simplified to (/ 1 (* (cbrt (* (- 1 (* v v)) PI)) (cbrt (* (- 1 (* v v)) PI)))) 1.909 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (* (cbrt (* (- 1 (* v v)) PI)) (cbrt (* (- 1 (* v v)) PI)))) (/ 4/3 (cbrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 1.909 * [simplify]: Simplifying (/ 4/3 (cbrt (- PI (* v (* PI v))))) 1.910 * * [simplify]: iters left: 6 (8 enodes) 1.912 * * [simplify]: iters left: 5 (28 enodes) 1.917 * * [simplify]: iters left: 4 (40 enodes) 1.924 * * [simplify]: iters left: 3 (64 enodes) 1.941 * * [simplify]: iters left: 2 (71 enodes) 1.959 * * [simplify]: iters left: 1 (85 enodes) 1.981 * * [simplify]: Extracting #0: cost 1 inf + 0 1.982 * * [simplify]: Extracting #1: cost 4 inf + 0 1.982 * * [simplify]: Extracting #2: cost 5 inf + 1 1.982 * * [simplify]: Extracting #3: cost 19 inf + 1 1.982 * * [simplify]: Extracting #4: cost 21 inf + 427 1.983 * * [simplify]: Extracting #5: cost 4 inf + 2278 1.984 * * [simplify]: Extracting #6: cost 0 inf + 2450 1.985 * [simplify]: Simplified to (/ 4/3 (cbrt (- PI (* (* v v) PI)))) 1.985 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (/ 4/3 (cbrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 1.986 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 1.986 * [simplify]: Simplifying (/ 1 (sqrt (- PI (* v (* PI v))))) 1.986 * * [simplify]: iters left: 6 (8 enodes) 1.990 * * [simplify]: iters left: 5 (30 enodes) 2.000 * * [simplify]: iters left: 4 (44 enodes) 2.015 * * [simplify]: iters left: 3 (68 enodes) 2.033 * * [simplify]: iters left: 2 (74 enodes) 2.044 * * [simplify]: iters left: 1 (84 enodes) 2.054 * * [simplify]: Extracting #0: cost 1 inf + 0 2.054 * * [simplify]: Extracting #1: cost 4 inf + 0 2.054 * * [simplify]: Extracting #2: cost 5 inf + 1 2.055 * * [simplify]: Extracting #3: cost 19 inf + 1 2.055 * * [simplify]: Extracting #4: cost 17 inf + 647 2.055 * * [simplify]: Extracting #5: cost 1 inf + 2242 2.056 * * [simplify]: Extracting #6: cost 0 inf + 2289 2.056 * [simplify]: Simplified to (/ 1 (sqrt (- PI (* v (* v PI))))) 2.057 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* v PI))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 2.057 * [simplify]: Simplifying (/ 4/3 (sqrt (- PI (* v (* PI v))))) 2.057 * * [simplify]: iters left: 6 (8 enodes) 2.059 * * [simplify]: iters left: 5 (28 enodes) 2.064 * * [simplify]: iters left: 4 (40 enodes) 2.070 * * [simplify]: iters left: 3 (64 enodes) 2.080 * * [simplify]: iters left: 2 (71 enodes) 2.089 * * [simplify]: iters left: 1 (85 enodes) 2.112 * * [simplify]: Extracting #0: cost 1 inf + 0 2.112 * * [simplify]: Extracting #1: cost 4 inf + 0 2.112 * * [simplify]: Extracting #2: cost 5 inf + 1 2.112 * * [simplify]: Extracting #3: cost 19 inf + 1 2.112 * * [simplify]: Extracting #4: cost 21 inf + 427 2.113 * * [simplify]: Extracting #5: cost 4 inf + 2118 2.114 * * [simplify]: Extracting #6: cost 0 inf + 2290 2.115 * [simplify]: Simplified to (/ 4/3 (sqrt (- PI (* (* v v) PI)))) 2.115 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* (* v v) PI))))) (sqrt (fma (* v -6) v 2)))) 2.116 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 2.116 * [simplify]: Simplifying (/ 1 1) 2.116 * * [simplify]: iters left: 2 (2 enodes) 2.117 * * [simplify]: iters left: 1 (6 enodes) 2.120 * * [simplify]: Extracting #0: cost 1 inf + 0 2.120 * * [simplify]: Extracting #1: cost 0 inf + 1 2.120 * [simplify]: Simplified to 1 2.120 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ 4/3 (- PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 2.120 * [simplify]: Simplifying (/ 4/3 (- PI (* v (* PI v)))) 2.120 * * [simplify]: iters left: 6 (7 enodes) 2.124 * * [simplify]: iters left: 5 (25 enodes) 2.132 * * [simplify]: iters left: 4 (37 enodes) 2.142 * * [simplify]: iters left: 3 (61 enodes) 2.151 * * [simplify]: iters left: 2 (68 enodes) 2.160 * * [simplify]: iters left: 1 (84 enodes) 2.171 * * [simplify]: Extracting #0: cost 1 inf + 0 2.171 * * [simplify]: Extracting #1: cost 6 inf + 0 2.171 * * [simplify]: Extracting #2: cost 18 inf + 2 2.171 * * [simplify]: Extracting #3: cost 19 inf + 590 2.171 * * [simplify]: Extracting #4: cost 4 inf + 1767 2.172 * * [simplify]: Extracting #5: cost 1 inf + 2009 2.173 * * [simplify]: Extracting #6: cost 0 inf + 2132 2.173 * [simplify]: Simplified to (/ 4/3 (- PI (* (* v v) PI))) 2.173 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (fma (* v -6) v 2)))) 2.173 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 2.173 * * * * [progress]: [ 22 / 107 ] simplifiying candidate # 2.173 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 2.173 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 2.174 * [simplify]: Simplifying (cbrt (- PI (* v (* PI v)))) 2.174 * * [simplify]: iters left: 6 (6 enodes) 2.176 * * [simplify]: iters left: 5 (22 enodes) 2.183 * * [simplify]: iters left: 4 (34 enodes) 2.194 * * [simplify]: iters left: 3 (58 enodes) 2.211 * * [simplify]: iters left: 2 (65 enodes) 2.227 * * [simplify]: iters left: 1 (79 enodes) 2.243 * * [simplify]: Extracting #0: cost 1 inf + 0 2.243 * * [simplify]: Extracting #1: cost 3 inf + 0 2.243 * * [simplify]: Extracting #2: cost 17 inf + 0 2.243 * * [simplify]: Extracting #3: cost 23 inf + 84 2.243 * * [simplify]: Extracting #4: cost 9 inf + 1186 2.244 * * [simplify]: Extracting #5: cost 0 inf + 1963 2.244 * [simplify]: Simplified to (cbrt (- PI (* PI (* v v)))) 2.244 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (cbrt (- PI (* PI (* v v))))) (sqrt (fma (* v -6) v 2)))) 2.245 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 2.245 * [simplify]: Simplifying (sqrt (- PI (* v (* PI v)))) 2.245 * * [simplify]: iters left: 6 (6 enodes) 2.246 * * [simplify]: iters left: 5 (22 enodes) 2.250 * * [simplify]: iters left: 4 (34 enodes) 2.255 * * [simplify]: iters left: 3 (58 enodes) 2.265 * * [simplify]: iters left: 2 (65 enodes) 2.282 * * [simplify]: iters left: 1 (79 enodes) 2.296 * * [simplify]: Extracting #0: cost 1 inf + 0 2.296 * * [simplify]: Extracting #1: cost 3 inf + 0 2.296 * * [simplify]: Extracting #2: cost 17 inf + 0 2.297 * * [simplify]: Extracting #3: cost 23 inf + 84 2.297 * * [simplify]: Extracting #4: cost 9 inf + 1146 2.297 * * [simplify]: Extracting #5: cost 0 inf + 1883 2.298 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 2.298 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* PI (* v v))))) (sqrt (fma (* v -6) v 2)))) 2.298 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 2.298 * [simplify]: Simplifying (- PI (* v (* PI v))) 2.298 * * [simplify]: iters left: 6 (5 enodes) 2.300 * * [simplify]: iters left: 5 (19 enodes) 2.302 * * [simplify]: iters left: 4 (31 enodes) 2.308 * * [simplify]: iters left: 3 (55 enodes) 2.316 * * [simplify]: iters left: 2 (62 enodes) 2.324 * * [simplify]: iters left: 1 (76 enodes) 2.346 * * [simplify]: Extracting #0: cost 1 inf + 0 2.346 * * [simplify]: Extracting #1: cost 15 inf + 0 2.346 * * [simplify]: Extracting #2: cost 23 inf + 2 2.346 * * [simplify]: Extracting #3: cost 8 inf + 986 2.347 * * [simplify]: Extracting #4: cost 1 inf + 1477 2.348 * * [simplify]: Extracting #5: cost 0 inf + 1559 2.349 * [simplify]: Simplified to (- PI (* (* PI v) v)) 2.349 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 1) (- PI (* (* PI v) v))) (sqrt (fma (* v -6) v 2)))) 2.350 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 2.350 * [simplify]: Simplifying (* (cbrt 4/3) (cbrt 4/3)) 2.350 * * [simplify]: iters left: 3 (3 enodes) 2.352 * * [simplify]: iters left: 2 (9 enodes) 2.356 * * [simplify]: Extracting #0: cost 1 inf + 0 2.356 * * [simplify]: Extracting #1: cost 3 inf + 0 2.356 * * [simplify]: Extracting #2: cost 5 inf + 0 2.356 * * [simplify]: Extracting #3: cost 4 inf + 1 2.356 * * [simplify]: Extracting #4: cost 0 inf + 405 2.357 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 2.357 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt 4/3) (cbrt 4/3)) (/ (- PI (* v (* PI v))) (cbrt 4/3))) (sqrt (fma (* v -6) v 2)))) 2.357 * * * * [progress]: [ 28 / 107 ] simplifiying candidate # 2.357 * [simplify]: Simplifying (sqrt 4/3) 2.357 * * [simplify]: iters left: 1 (2 enodes) 2.359 * * [simplify]: Extracting #0: cost 1 inf + 0 2.359 * * [simplify]: Extracting #1: cost 3 inf + 0 2.359 * * [simplify]: Extracting #2: cost 2 inf + 1 2.359 * * [simplify]: Extracting #3: cost 0 inf + 83 2.359 * [simplify]: Simplified to (sqrt 4/3) 2.359 * [simplify]: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt 4/3) (/ (- PI (* v (* PI v))) (sqrt 4/3))) (sqrt (fma (* v -6) v 2)))) 2.359 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 2.359 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 2.360 * [simplify]: Simplifying (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) 2.360 * * [simplify]: iters left: 6 (9 enodes) 2.365 * * [simplify]: iters left: 5 (45 enodes) 2.383 * * [simplify]: iters left: 4 (112 enodes) 2.453 * * [simplify]: iters left: 3 (292 enodes) 2.526 * * [simplify]: iters left: 2 (472 enodes) 2.738 * * [simplify]: Extracting #0: cost 1 inf + 0 2.738 * * [simplify]: Extracting #1: cost 41 inf + 0 2.740 * * [simplify]: Extracting #2: cost 90 inf + 713 2.746 * * [simplify]: Extracting #3: cost 31 inf + 8107 2.755 * * [simplify]: Extracting #4: cost 0 inf + 11653 2.764 * [simplify]: Simplified to (* (fma PI (fma (* v v) (* v v) (* v v)) PI) PI) 2.764 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))) (* (fma PI (fma (* v v) (* v v) (* v v)) PI) PI)) (sqrt (fma (* v -6) v 2)))) 2.764 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 2.765 * [simplify]: Simplifying (+ PI (* v (* PI v))) 2.765 * * [simplify]: iters left: 6 (5 enodes) 2.767 * * [simplify]: iters left: 5 (18 enodes) 2.772 * * [simplify]: iters left: 4 (23 enodes) 2.776 * * [simplify]: iters left: 3 (28 enodes) 2.781 * * [simplify]: iters left: 2 (39 enodes) 2.786 * * [simplify]: iters left: 1 (47 enodes) 2.796 * * [simplify]: Extracting #0: cost 1 inf + 0 2.796 * * [simplify]: Extracting #1: cost 9 inf + 0 2.796 * * [simplify]: Extracting #2: cost 8 inf + 101 2.796 * * [simplify]: Extracting #3: cost 0 inf + 641 2.796 * [simplify]: Simplified to (fma v (* PI v) PI) 2.797 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (fma v (* PI v) PI)) (sqrt (fma (* v -6) v 2)))) 2.797 * * * * [progress]: [ 32 / 107 ] simplifiying candidate #real (real->posit16 (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2))))> 2.797 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 2.797 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 2.797 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 2.797 * [simplify]: Simplifying (* PI v) 2.797 * * [simplify]: iters left: 2 (3 enodes) 2.798 * * [simplify]: iters left: 1 (10 enodes) 2.799 * * [simplify]: Extracting #0: cost 1 inf + 0 2.799 * * [simplify]: Extracting #1: cost 4 inf + 0 2.799 * * [simplify]: Extracting #2: cost 2 inf + 2 2.799 * * [simplify]: Extracting #3: cost 0 inf + 86 2.799 * [simplify]: Simplified to (* PI v) 2.799 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (pow (* PI v) 1)))) (sqrt (fma (* v -6) v 2)))) 2.799 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 2.799 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 2.799 * [simplify]: Simplifying (+ (log PI) (log v)) 2.799 * * [simplify]: iters left: 3 (5 enodes) 2.800 * * [simplify]: iters left: 2 (16 enodes) 2.803 * * [simplify]: Extracting #0: cost 1 inf + 0 2.803 * * [simplify]: Extracting #1: cost 4 inf + 0 2.803 * * [simplify]: Extracting #2: cost 8 inf + 0 2.803 * * [simplify]: Extracting #3: cost 4 inf + 144 2.803 * * [simplify]: Extracting #4: cost 0 inf + 650 2.803 * [simplify]: Simplified to (+ (log PI) (log v)) 2.803 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (exp (+ (log PI) (log v)))))) (sqrt (fma (* v -6) v 2)))) 2.803 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 2.804 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 2.804 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 2.804 * [simplify]: Simplifying (* (* (* PI PI) PI) (* (* v v) v)) 2.804 * * [simplify]: iters left: 6 (7 enodes) 2.807 * * [simplify]: iters left: 5 (28 enodes) 2.811 * * [simplify]: iters left: 4 (57 enodes) 2.822 * * [simplify]: iters left: 3 (114 enodes) 2.851 * * [simplify]: iters left: 2 (187 enodes) 2.903 * * [simplify]: iters left: 1 (343 enodes) 2.987 * * [simplify]: Extracting #0: cost 1 inf + 0 2.987 * * [simplify]: Extracting #1: cost 49 inf + 0 2.987 * * [simplify]: Extracting #2: cost 141 inf + 166 2.988 * * [simplify]: Extracting #3: cost 128 inf + 2134 2.990 * * [simplify]: Extracting #4: cost 93 inf + 14588 2.998 * * [simplify]: Extracting #5: cost 22 inf + 44428 3.008 * * [simplify]: Extracting #6: cost 0 inf + 55011 3.014 * [simplify]: Simplified to (* (* (* v PI) (* v PI)) (* v PI)) 3.014 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (cbrt (* (* (* v PI) (* v PI)) (* v PI)))))) (sqrt (fma (* v -6) v 2)))) 3.014 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 3.014 * * * * [progress]: [ 42 / 107 ] simplifiying candidate # 3.014 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 3.014 * * * * [progress]: [ 44 / 107 ] simplifiying candidate # 3.015 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 3.015 * [simplify]: Simplifying (* (sqrt PI) (sqrt v)) 3.015 * * [simplify]: iters left: 3 (5 enodes) 3.016 * * [simplify]: iters left: 2 (16 enodes) 3.018 * * [simplify]: Extracting #0: cost 1 inf + 0 3.018 * * [simplify]: Extracting #1: cost 4 inf + 0 3.018 * * [simplify]: Extracting #2: cost 8 inf + 0 3.018 * * [simplify]: Extracting #3: cost 4 inf + 84 3.018 * * [simplify]: Extracting #4: cost 0 inf + 410 3.018 * [simplify]: Simplified to (* (sqrt v) (sqrt PI)) 3.018 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (* (* (sqrt v) (sqrt PI)) (* (sqrt PI) (sqrt v)))))) (sqrt (fma (* v -6) v 2)))) 3.018 * [simplify]: Simplifying (* (sqrt PI) (sqrt v)) 3.018 * * [simplify]: iters left: 3 (5 enodes) 3.019 * * [simplify]: iters left: 2 (16 enodes) 3.021 * * [simplify]: Extracting #0: cost 1 inf + 0 3.021 * * [simplify]: Extracting #1: cost 4 inf + 0 3.021 * * [simplify]: Extracting #2: cost 8 inf + 0 3.021 * * [simplify]: Extracting #3: cost 4 inf + 84 3.021 * * [simplify]: Extracting #4: cost 0 inf + 410 3.021 * [simplify]: Simplified to (* (sqrt v) (sqrt PI)) 3.021 * [simplify]: Simplified (2 1 2 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* (* (sqrt PI) (sqrt v)) (* (sqrt v) (sqrt PI)))))) (sqrt (fma (* v -6) v 2)))) 3.021 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 3.022 * [simplify]: Simplifying (cbrt v) 3.022 * * [simplify]: iters left: 1 (2 enodes) 3.022 * * [simplify]: Extracting #0: cost 1 inf + 0 3.022 * * [simplify]: Extracting #1: cost 3 inf + 0 3.022 * * [simplify]: Extracting #2: cost 2 inf + 1 3.022 * * [simplify]: Extracting #3: cost 0 inf + 163 3.022 * [simplify]: Simplified to (cbrt v) 3.022 * [simplify]: Simplified (2 1 2 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* (* PI (* (cbrt v) (cbrt v))) (cbrt v))))) (sqrt (fma (* v -6) v 2)))) 3.022 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 3.022 * [simplify]: Simplifying (sqrt v) 3.022 * * [simplify]: iters left: 1 (2 enodes) 3.023 * * [simplify]: Extracting #0: cost 1 inf + 0 3.023 * * [simplify]: Extracting #1: cost 3 inf + 0 3.023 * * [simplify]: Extracting #2: cost 2 inf + 1 3.023 * * [simplify]: Extracting #3: cost 0 inf + 83 3.023 * [simplify]: Simplified to (sqrt v) 3.023 * [simplify]: Simplified (2 1 2 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* (* PI (sqrt v)) (sqrt v))))) (sqrt (fma (* v -6) v 2)))) 3.023 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 3.023 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 3.023 * [simplify]: Simplifying (* (cbrt PI) (cbrt PI)) 3.023 * * [simplify]: iters left: 3 (3 enodes) 3.024 * * [simplify]: iters left: 2 (9 enodes) 3.025 * * [simplify]: Extracting #0: cost 1 inf + 0 3.025 * * [simplify]: Extracting #1: cost 3 inf + 0 3.025 * * [simplify]: Extracting #2: cost 5 inf + 0 3.025 * * [simplify]: Extracting #3: cost 4 inf + 1 3.025 * * [simplify]: Extracting #4: cost 0 inf + 405 3.025 * [simplify]: Simplified to (* (cbrt PI) (cbrt PI)) 3.025 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) v))))) (sqrt (fma (* v -6) v 2)))) 3.025 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 3.026 * [simplify]: Simplifying (sqrt PI) 3.026 * * [simplify]: iters left: 1 (2 enodes) 3.026 * * [simplify]: Extracting #0: cost 1 inf + 0 3.026 * * [simplify]: Extracting #1: cost 3 inf + 0 3.026 * * [simplify]: Extracting #2: cost 2 inf + 1 3.026 * * [simplify]: Extracting #3: cost 0 inf + 83 3.026 * [simplify]: Simplified to (sqrt PI) 3.026 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* v (* (sqrt PI) (* (sqrt PI) v))))) (sqrt (fma (* v -6) v 2)))) 3.026 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 3.026 * * * * [progress]: [ 52 / 107 ] simplifiying candidate #real (real->posit16 (* PI v)))))) (sqrt (fma (* v -6) v 2))))> 3.026 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 3.026 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 3.026 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 3.026 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 3.027 * [simplify]: Simplifying (* v (* PI v)) 3.027 * * [simplify]: iters left: 4 (4 enodes) 3.027 * * [simplify]: iters left: 3 (14 enodes) 3.029 * * [simplify]: iters left: 2 (17 enodes) 3.031 * * [simplify]: iters left: 1 (19 enodes) 3.033 * * [simplify]: Extracting #0: cost 1 inf + 0 3.034 * * [simplify]: Extracting #1: cost 6 inf + 0 3.034 * * [simplify]: Extracting #2: cost 6 inf + 2 3.034 * * [simplify]: Extracting #3: cost 1 inf + 291 3.034 * * [simplify]: Extracting #4: cost 0 inf + 332 3.034 * [simplify]: Simplified to (* v (* v PI)) 3.034 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (pow (* v (* v PI)) 1))) (sqrt (fma (* v -6) v 2)))) 3.034 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 3.034 * [simplify]: Simplifying (* v (* PI v)) 3.034 * * [simplify]: iters left: 4 (4 enodes) 3.035 * * [simplify]: iters left: 3 (14 enodes) 3.037 * * [simplify]: iters left: 2 (17 enodes) 3.040 * * [simplify]: iters left: 1 (19 enodes) 3.045 * * [simplify]: Extracting #0: cost 1 inf + 0 3.045 * * [simplify]: Extracting #1: cost 6 inf + 0 3.045 * * [simplify]: Extracting #2: cost 6 inf + 2 3.045 * * [simplify]: Extracting #3: cost 1 inf + 291 3.046 * * [simplify]: Extracting #4: cost 0 inf + 332 3.046 * [simplify]: Simplified to (* v (* v PI)) 3.046 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (pow (* v (* v PI)) 1))) (sqrt (fma (* v -6) v 2)))) 3.046 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 3.046 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 3.046 * [simplify]: Simplifying (+ (log v) (+ (log PI) (log v))) 3.046 * * [simplify]: iters left: 5 (6 enodes) 3.049 * * [simplify]: iters left: 4 (20 enodes) 3.054 * * [simplify]: iters left: 3 (23 enodes) 3.061 * * [simplify]: iters left: 2 (25 enodes) 3.067 * * [simplify]: Extracting #0: cost 1 inf + 0 3.067 * * [simplify]: Extracting #1: cost 6 inf + 0 3.067 * * [simplify]: Extracting #2: cost 12 inf + 0 3.067 * * [simplify]: Extracting #3: cost 10 inf + 2 3.067 * * [simplify]: Extracting #4: cost 0 inf + 1316 3.068 * [simplify]: Simplified to (+ (+ (log v) (log v)) (log PI)) 3.068 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (exp (+ (+ (log v) (log v)) (log PI))))) (sqrt (fma (* v -6) v 2)))) 3.068 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 3.068 * [simplify]: Simplifying (+ (log v) (log (* PI v))) 3.068 * * [simplify]: iters left: 5 (6 enodes) 3.071 * * [simplify]: iters left: 4 (22 enodes) 3.077 * * [simplify]: iters left: 3 (27 enodes) 3.083 * * [simplify]: iters left: 2 (30 enodes) 3.091 * * [simplify]: Extracting #0: cost 1 inf + 0 3.091 * * [simplify]: Extracting #1: cost 6 inf + 0 3.142 * * [simplify]: Extracting #2: cost 13 inf + 0 3.142 * * [simplify]: Extracting #3: cost 10 inf + 144 3.142 * * [simplify]: Extracting #4: cost 8 inf + 257 3.142 * * [simplify]: Extracting #5: cost 1 inf + 1038 3.143 * * [simplify]: Extracting #6: cost 0 inf + 1260 3.143 * [simplify]: Simplified to (+ (+ (log v) (log v)) (log PI)) 3.143 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (exp (+ (+ (log v) (log v)) (log PI))))) (sqrt (fma (* v -6) v 2)))) 3.143 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 3.143 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 3.144 * * * * [progress]: [ 63 / 107 ] simplifiying candidate # 3.144 * [simplify]: Simplifying (* (* (* v v) v) (* (* (* PI PI) PI) (* (* v v) v))) 3.144 * * [simplify]: iters left: 6 (8 enodes) 3.148 * * [simplify]: iters left: 5 (34 enodes) 3.162 * * [simplify]: iters left: 4 (89 enodes) 3.210 * * [simplify]: iters left: 3 (242 enodes) 3.368 * * [simplify]: Extracting #0: cost 1 inf + 0 3.368 * * [simplify]: Extracting #1: cost 43 inf + 0 3.369 * * [simplify]: Extracting #2: cost 108 inf + 573 3.374 * * [simplify]: Extracting #3: cost 51 inf + 8519 3.378 * * [simplify]: Extracting #4: cost 1 inf + 21439 3.382 * * [simplify]: Extracting #5: cost 0 inf + 21611 3.390 * [simplify]: Simplified to (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v)))) 3.390 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (cbrt (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v))))))) (sqrt (fma (* v -6) v 2)))) 3.390 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 3.391 * [simplify]: Simplifying (* (* (* v v) v) (* (* (* PI v) (* PI v)) (* PI v))) 3.391 * * [simplify]: iters left: 6 (8 enodes) 3.395 * * [simplify]: iters left: 5 (40 enodes) 3.412 * * [simplify]: iters left: 4 (119 enodes) 3.465 * * [simplify]: iters left: 3 (302 enodes) 3.633 * * [simplify]: Extracting #0: cost 1 inf + 0 3.633 * * [simplify]: Extracting #1: cost 38 inf + 0 3.634 * * [simplify]: Extracting #2: cost 89 inf + 543 3.637 * * [simplify]: Extracting #3: cost 56 inf + 4742 3.643 * * [simplify]: Extracting #4: cost 4 inf + 18109 3.647 * * [simplify]: Extracting #5: cost 0 inf + 18828 3.652 * [simplify]: Simplified to (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v)) 3.652 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (cbrt (* (* (* (* PI v) v) (* (* PI v) v)) (* (* PI v) v))))) (sqrt (fma (* v -6) v 2)))) 3.652 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 3.652 * * * * [progress]: [ 66 / 107 ] simplifiying candidate # 3.653 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 3.653 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 3.653 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 3.653 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 3.653 * [simplify]: Simplifying (* (cbrt v) (cbrt v)) 3.653 * * [simplify]: iters left: 3 (3 enodes) 3.654 * * [simplify]: iters left: 2 (9 enodes) 3.655 * * [simplify]: Extracting #0: cost 1 inf + 0 3.655 * * [simplify]: Extracting #1: cost 3 inf + 0 3.655 * * [simplify]: Extracting #2: cost 5 inf + 0 3.655 * * [simplify]: Extracting #3: cost 4 inf + 1 3.655 * * [simplify]: Extracting #4: cost 0 inf + 405 3.655 * [simplify]: Simplified to (* (cbrt v) (cbrt v)) 3.655 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (* (cbrt v) (cbrt v)) (* (cbrt v) (* PI v))))) (sqrt (fma (* v -6) v 2)))) 3.655 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 3.655 * [simplify]: Simplifying (sqrt v) 3.655 * * [simplify]: iters left: 1 (2 enodes) 3.656 * * [simplify]: Extracting #0: cost 1 inf + 0 3.656 * * [simplify]: Extracting #1: cost 3 inf + 0 3.656 * * [simplify]: Extracting #2: cost 2 inf + 1 3.656 * * [simplify]: Extracting #3: cost 0 inf + 83 3.656 * [simplify]: Simplified to (sqrt v) 3.656 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (/ 4/3 (- PI (* (sqrt v) (* (sqrt v) (* PI v))))) (sqrt (fma (* v -6) v 2)))) 3.656 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 3.656 * * * * [progress]: [ 73 / 107 ] simplifiying candidate #real (real->posit16 (* v (* PI v)))))) (sqrt (fma (* v -6) v 2))))> 3.656 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 3.656 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 3.656 * [simplify]: Simplifying (fma (* (cbrt PI) (cbrt PI)) (cbrt PI) (- (* (* PI v) v))) 3.656 * * [simplify]: iters left: 6 (8 enodes) 3.658 * * [simplify]: iters left: 5 (34 enodes) 3.663 * * [simplify]: iters left: 4 (58 enodes) 3.673 * * [simplify]: iters left: 3 (75 enodes) 3.693 * * [simplify]: iters left: 2 (79 enodes) 3.711 * * [simplify]: iters left: 1 (91 enodes) 3.731 * * [simplify]: Extracting #0: cost 1 inf + 0 3.731 * * [simplify]: Extracting #1: cost 15 inf + 0 3.731 * * [simplify]: Extracting #2: cost 25 inf + 2 3.731 * * [simplify]: Extracting #3: cost 16 inf + 413 3.732 * * [simplify]: Extracting #4: cost 2 inf + 1730 3.733 * * [simplify]: Extracting #5: cost 0 inf + 1909 3.734 * [simplify]: Simplified to (- PI (* PI (* v v))) 3.734 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (+ (- PI (* PI (* v v))) (fma (- (* PI v)) v (* (* PI v) v)))) (sqrt (fma (* v -6) v 2)))) 3.734 * [simplify]: Simplifying (fma (- (* PI v)) v (* (* PI v) v)) 3.734 * * [simplify]: iters left: 5 (6 enodes) 3.736 * * [simplify]: iters left: 4 (28 enodes) 3.740 * * [simplify]: iters left: 3 (47 enodes) 3.747 * * [simplify]: iters left: 2 (85 enodes) 3.761 * * [simplify]: iters left: 1 (115 enodes) 3.773 * * [simplify]: Extracting #0: cost 1 inf + 0 3.773 * * [simplify]: Extracting #1: cost 0 inf + 1 3.773 * [simplify]: Simplified to 0 3.774 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (+ (- PI (* PI (* v v))) 0)) (sqrt (fma (* v -6) v 2)))) 3.774 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 3.774 * [simplify]: Simplifying (fma (sqrt PI) (sqrt PI) (- (* (* PI v) v))) 3.774 * * [simplify]: iters left: 6 (7 enodes) 3.775 * * [simplify]: iters left: 5 (31 enodes) 3.780 * * [simplify]: iters left: 4 (51 enodes) 3.787 * * [simplify]: iters left: 3 (58 enodes) 3.794 * * [simplify]: iters left: 2 (61 enodes) 3.801 * * [simplify]: iters left: 1 (72 enodes) 3.811 * * [simplify]: Extracting #0: cost 1 inf + 0 3.811 * * [simplify]: Extracting #1: cost 16 inf + 0 3.811 * * [simplify]: Extracting #2: cost 17 inf + 493 3.811 * * [simplify]: Extracting #3: cost 4 inf + 1423 3.812 * * [simplify]: Extracting #4: cost 0 inf + 1641 3.812 * [simplify]: Simplified to (- PI (* v (* PI v))) 3.812 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (+ (- PI (* v (* PI v))) (fma (- (* PI v)) v (* (* PI v) v)))) (sqrt (fma (* v -6) v 2)))) 3.813 * [simplify]: Simplifying (fma (- (* PI v)) v (* (* PI v) v)) 3.813 * * [simplify]: iters left: 5 (6 enodes) 3.814 * * [simplify]: iters left: 4 (28 enodes) 3.819 * * [simplify]: iters left: 3 (47 enodes) 3.830 * * [simplify]: iters left: 2 (85 enodes) 3.842 * * [simplify]: iters left: 1 (115 enodes) 3.858 * * [simplify]: Extracting #0: cost 1 inf + 0 3.858 * * [simplify]: Extracting #1: cost 0 inf + 1 3.858 * [simplify]: Simplified to 0 3.858 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (+ (- PI (* v (* PI v))) 0)) (sqrt (fma (* v -6) v 2)))) 3.858 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 3.859 * [simplify]: Simplifying (fma 1 PI (- (* (* PI v) v))) 3.859 * * [simplify]: iters left: 6 (7 enodes) 3.862 * * [simplify]: iters left: 5 (33 enodes) 3.873 * * [simplify]: iters left: 4 (55 enodes) 3.889 * * [simplify]: iters left: 3 (62 enodes) 3.905 * * [simplify]: iters left: 2 (64 enodes) 3.920 * * [simplify]: iters left: 1 (71 enodes) 3.941 * * [simplify]: Extracting #0: cost 1 inf + 0 3.941 * * [simplify]: Extracting #1: cost 15 inf + 0 3.941 * * [simplify]: Extracting #2: cost 17 inf + 209 3.942 * * [simplify]: Extracting #3: cost 4 inf + 1220 3.943 * * [simplify]: Extracting #4: cost 0 inf + 1517 3.944 * [simplify]: Simplified to (- PI (* v (* v PI))) 3.944 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (+ (- PI (* v (* v PI))) (fma (- (* PI v)) v (* (* PI v) v)))) (sqrt (fma (* v -6) v 2)))) 3.944 * [simplify]: Simplifying (fma (- (* PI v)) v (* (* PI v) v)) 3.944 * * [simplify]: iters left: 5 (6 enodes) 3.947 * * [simplify]: iters left: 4 (28 enodes) 3.955 * * [simplify]: iters left: 3 (47 enodes) 3.963 * * [simplify]: iters left: 2 (85 enodes) 3.976 * * [simplify]: iters left: 1 (115 enodes) 3.992 * * [simplify]: Extracting #0: cost 1 inf + 0 3.992 * * [simplify]: Extracting #1: cost 0 inf + 1 3.992 * [simplify]: Simplified to 0 3.992 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (+ (fma 1 PI (- (* (* PI v) v))) 0)) (sqrt (fma (* v -6) v 2)))) 3.993 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 3.993 * * * * [progress]: [ 79 / 107 ] simplifiying candidate # 3.993 * * * * [progress]: [ 80 / 107 ] simplifiying candidate # 3.993 * [simplify]: Simplifying (* (cbrt PI) (cbrt PI)) 3.993 * * [simplify]: iters left: 3 (3 enodes) 3.994 * * [simplify]: iters left: 2 (9 enodes) 3.997 * * [simplify]: Extracting #0: cost 1 inf + 0 3.997 * * [simplify]: Extracting #1: cost 3 inf + 0 3.997 * * [simplify]: Extracting #2: cost 5 inf + 0 3.997 * * [simplify]: Extracting #3: cost 4 inf + 1 3.997 * * [simplify]: Extracting #4: cost 0 inf + 405 3.997 * [simplify]: Simplified to (* (cbrt PI) (cbrt PI)) 3.997 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (fma (* (cbrt PI) (cbrt PI)) (cbrt PI) (- (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 3.998 * * * * [progress]: [ 81 / 107 ] simplifiying candidate # 3.998 * [simplify]: Simplifying (sqrt PI) 3.998 * * [simplify]: iters left: 1 (2 enodes) 3.999 * * [simplify]: Extracting #0: cost 1 inf + 0 3.999 * * [simplify]: Extracting #1: cost 3 inf + 0 3.999 * * [simplify]: Extracting #2: cost 2 inf + 1 3.999 * * [simplify]: Extracting #3: cost 0 inf + 83 3.999 * [simplify]: Simplified to (sqrt PI) 3.999 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (fma (sqrt PI) (sqrt PI) (- (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))) 3.999 * * * * [progress]: [ 82 / 107 ] simplifiying candidate # 3.999 * * * * [progress]: [ 83 / 107 ] simplifiying candidate # 3.999 * [simplify]: Simplifying (/ (exp PI) (exp (* v (* PI v)))) 4.000 * * [simplify]: iters left: 6 (7 enodes) 4.003 * * [simplify]: iters left: 5 (27 enodes) 4.010 * * [simplify]: iters left: 4 (42 enodes) 4.025 * * [simplify]: iters left: 3 (85 enodes) 4.050 * * [simplify]: iters left: 2 (184 enodes) 4.089 * * [simplify]: iters left: 1 (400 enodes) 4.202 * * [simplify]: Extracting #0: cost 1 inf + 0 4.202 * * [simplify]: Extracting #1: cost 75 inf + 0 4.202 * * [simplify]: Extracting #2: cost 200 inf + 73 4.203 * * [simplify]: Extracting #3: cost 284 inf + 2893 4.207 * * [simplify]: Extracting #4: cost 218 inf + 21194 4.226 * * [simplify]: Extracting #5: cost 34 inf + 89087 4.254 * * [simplify]: Extracting #6: cost 0 inf + 104180 4.278 * * [simplify]: Extracting #7: cost 0 inf + 103898 4.290 * * [simplify]: Extracting #8: cost 0 inf + 103698 4.301 * [simplify]: Simplified to (exp (- PI (* v (* PI v)))) 4.301 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (/ 4/3 (log (exp (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 4.302 * * * * [progress]: [ 84 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 85 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 86 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 87 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 88 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 89 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 90 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 91 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 92 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 93 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 94 / 107 ] simplifiying candidate # 4.302 * * * * [progress]: [ 95 / 107 ] simplifiying candidate #real (real->posit16 (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2))))> 4.302 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 4.302 * [simplify]: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 4.302 * * [simplify]: iters left: 6 (16 enodes) 4.308 * * [simplify]: iters left: 5 (74 enodes) 4.331 * * [simplify]: iters left: 4 (122 enodes) 4.371 * * [simplify]: iters left: 3 (180 enodes) 4.402 * * [simplify]: iters left: 2 (244 enodes) 4.452 * * [simplify]: iters left: 1 (397 enodes) 4.563 * * [simplify]: Extracting #0: cost 1 inf + 0 4.563 * * [simplify]: Extracting #1: cost 27 inf + 0 4.564 * * [simplify]: Extracting #2: cost 100 inf + 2 4.565 * * [simplify]: Extracting #3: cost 91 inf + 2242 4.574 * * [simplify]: Extracting #4: cost 17 inf + 11402 4.579 * * [simplify]: Extracting #5: cost 0 inf + 14000 4.585 * [simplify]: Simplified to (fma (/ 4/3 PI) (fma (* v v) (* v v) (* v v)) (/ 4/3 PI)) 4.585 * [simplify]: Simplified (2 1) to (λ (v) (/ (fma (/ 4/3 PI) (fma (* v v) (* v v) (* v v)) (/ 4/3 PI)) (sqrt (fma (* v -6) v 2)))) 4.585 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 4.585 * [simplify]: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 4.585 * * [simplify]: iters left: 6 (22 enodes) 4.593 * * [simplify]: iters left: 5 (106 enodes) 4.623 * * [simplify]: iters left: 4 (212 enodes) 4.678 * * [simplify]: iters left: 3 (431 enodes) 4.852 * * [simplify]: Extracting #0: cost 1 inf + 0 4.852 * * [simplify]: Extracting #1: cost 34 inf + 0 4.853 * * [simplify]: Extracting #2: cost 125 inf + 2 4.854 * * [simplify]: Extracting #3: cost 178 inf + 1035 4.861 * * [simplify]: Extracting #4: cost 80 inf + 14774 4.877 * * [simplify]: Extracting #5: cost 24 inf + 27927 4.898 * * [simplify]: Extracting #6: cost 3 inf + 34421 4.921 * * [simplify]: Extracting #7: cost 0 inf + 34846 4.932 * [simplify]: Simplified to (+ (/ (/ -4/3 (* (* (* v v) PI) (* v v))) (* v v)) (- (/ -4/3 (* (* (* v v) PI) (* v v))) (/ 4/3 (* (* v v) PI)))) 4.932 * [simplify]: Simplified (2 1) to (λ (v) (/ (+ (/ (/ -4/3 (* (* (* v v) PI) (* v v))) (* v v)) (- (/ -4/3 (* (* (* v v) PI) (* v v))) (/ 4/3 (* (* v v) PI)))) (sqrt (fma (* v -6) v 2)))) 4.932 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 4.932 * [simplify]: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 4.933 * * [simplify]: iters left: 6 (22 enodes) 4.940 * * [simplify]: iters left: 5 (106 enodes) 4.960 * * [simplify]: iters left: 4 (212 enodes) 5.003 * * [simplify]: iters left: 3 (431 enodes) 5.131 * * [simplify]: Extracting #0: cost 1 inf + 0 5.131 * * [simplify]: Extracting #1: cost 34 inf + 0 5.132 * * [simplify]: Extracting #2: cost 125 inf + 2 5.134 * * [simplify]: Extracting #3: cost 178 inf + 1035 5.142 * * [simplify]: Extracting #4: cost 80 inf + 14774 5.152 * * [simplify]: Extracting #5: cost 24 inf + 27927 5.166 * * [simplify]: Extracting #6: cost 3 inf + 34421 5.176 * * [simplify]: Extracting #7: cost 0 inf + 34846 5.187 * [simplify]: Simplified to (+ (/ (/ -4/3 (* (* (* v v) PI) (* v v))) (* v v)) (- (/ -4/3 (* (* (* v v) PI) (* v v))) (/ 4/3 (* (* v v) PI)))) 5.187 * [simplify]: Simplified (2 1) to (λ (v) (/ (+ (/ (/ -4/3 (* (* (* v v) PI) (* v v))) (* v v)) (- (/ -4/3 (* (* (* v v) PI) (* v v))) (/ 4/3 (* (* v v) PI)))) (sqrt (fma (* v -6) v 2)))) 5.187 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 5.187 * [simplify]: Simplifying (* v PI) 5.187 * * [simplify]: iters left: 2 (3 enodes) 5.188 * * [simplify]: iters left: 1 (10 enodes) 5.189 * * [simplify]: Extracting #0: cost 1 inf + 0 5.189 * * [simplify]: Extracting #1: cost 4 inf + 0 5.189 * * [simplify]: Extracting #2: cost 2 inf + 2 5.189 * * [simplify]: Extracting #3: cost 0 inf + 86 5.189 * [simplify]: Simplified to (* v PI) 5.189 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma (* v -6) v 2)))) 5.189 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 5.189 * [simplify]: Simplifying (* v PI) 5.189 * * [simplify]: iters left: 2 (3 enodes) 5.190 * * [simplify]: iters left: 1 (10 enodes) 5.191 * * [simplify]: Extracting #0: cost 1 inf + 0 5.191 * * [simplify]: Extracting #1: cost 4 inf + 0 5.191 * * [simplify]: Extracting #2: cost 2 inf + 2 5.191 * * [simplify]: Extracting #3: cost 0 inf + 86 5.191 * [simplify]: Simplified to (* v PI) 5.191 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma (* v -6) v 2)))) 5.192 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 5.192 * [simplify]: Simplifying (* v PI) 5.192 * * [simplify]: iters left: 2 (3 enodes) 5.192 * * [simplify]: iters left: 1 (10 enodes) 5.194 * * [simplify]: Extracting #0: cost 1 inf + 0 5.194 * * [simplify]: Extracting #1: cost 4 inf + 0 5.194 * * [simplify]: Extracting #2: cost 2 inf + 2 5.194 * * [simplify]: Extracting #3: cost 0 inf + 86 5.194 * [simplify]: Simplified to (* v PI) 5.194 * [simplify]: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma (* v -6) v 2)))) 5.194 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 5.194 * [simplify]: Simplifying (* (pow v 2) PI) 5.194 * * [simplify]: iters left: 3 (5 enodes) 5.196 * * [simplify]: iters left: 2 (21 enodes) 5.200 * * [simplify]: iters left: 1 (29 enodes) 5.205 * * [simplify]: Extracting #0: cost 1 inf + 0 5.205 * * [simplify]: Extracting #1: cost 6 inf + 0 5.205 * * [simplify]: Extracting #2: cost 7 inf + 2 5.205 * * [simplify]: Extracting #3: cost 0 inf + 333 5.205 * [simplify]: Simplified to (* (* v v) PI) 5.205 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.206 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 5.206 * [simplify]: Simplifying (* (pow v 2) PI) 5.206 * * [simplify]: iters left: 3 (5 enodes) 5.207 * * [simplify]: iters left: 2 (21 enodes) 5.211 * * [simplify]: iters left: 1 (29 enodes) 5.215 * * [simplify]: Extracting #0: cost 1 inf + 0 5.215 * * [simplify]: Extracting #1: cost 6 inf + 0 5.215 * * [simplify]: Extracting #2: cost 7 inf + 2 5.215 * * [simplify]: Extracting #3: cost 0 inf + 333 5.216 * [simplify]: Simplified to (* (* v v) PI) 5.216 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.216 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 5.216 * [simplify]: Simplifying (* (pow v 2) PI) 5.216 * * [simplify]: iters left: 3 (5 enodes) 5.217 * * [simplify]: iters left: 2 (21 enodes) 5.221 * * [simplify]: iters left: 1 (29 enodes) 5.225 * * [simplify]: Extracting #0: cost 1 inf + 0 5.226 * * [simplify]: Extracting #1: cost 6 inf + 0 5.226 * * [simplify]: Extracting #2: cost 7 inf + 2 5.226 * * [simplify]: Extracting #3: cost 0 inf + 333 5.226 * [simplify]: Simplified to (* (* v v) PI) 5.226 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.226 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 5.226 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 5.226 * * [simplify]: iters left: 5 (6 enodes) 5.228 * * [simplify]: iters left: 4 (26 enodes) 5.232 * * [simplify]: iters left: 3 (43 enodes) 5.240 * * [simplify]: iters left: 2 (73 enodes) 5.252 * * [simplify]: iters left: 1 (93 enodes) 5.263 * * [simplify]: Extracting #0: cost 1 inf + 0 5.263 * * [simplify]: Extracting #1: cost 15 inf + 0 5.264 * * [simplify]: Extracting #2: cost 21 inf + 165 5.264 * * [simplify]: Extracting #3: cost 7 inf + 987 5.264 * * [simplify]: Extracting #4: cost 1 inf + 1478 5.265 * * [simplify]: Extracting #5: cost 0 inf + 1560 5.265 * [simplify]: Simplified to (- PI (* (* v v) PI)) 5.265 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.266 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 5.266 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 5.266 * * [simplify]: iters left: 5 (6 enodes) 5.268 * * [simplify]: iters left: 4 (26 enodes) 5.272 * * [simplify]: iters left: 3 (43 enodes) 5.280 * * [simplify]: iters left: 2 (73 enodes) 5.290 * * [simplify]: iters left: 1 (93 enodes) 5.305 * * [simplify]: Extracting #0: cost 1 inf + 0 5.305 * * [simplify]: Extracting #1: cost 15 inf + 0 5.305 * * [simplify]: Extracting #2: cost 21 inf + 165 5.306 * * [simplify]: Extracting #3: cost 7 inf + 987 5.306 * * [simplify]: Extracting #4: cost 1 inf + 1478 5.307 * * [simplify]: Extracting #5: cost 0 inf + 1560 5.308 * [simplify]: Simplified to (- PI (* (* v v) PI)) 5.308 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.309 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 5.309 * [simplify]: Simplifying (- PI (* (pow v 2) PI)) 5.309 * * [simplify]: iters left: 5 (6 enodes) 5.313 * * [simplify]: iters left: 4 (26 enodes) 5.321 * * [simplify]: iters left: 3 (43 enodes) 5.337 * * [simplify]: iters left: 2 (73 enodes) 5.357 * * [simplify]: iters left: 1 (93 enodes) 5.377 * * [simplify]: Extracting #0: cost 1 inf + 0 5.377 * * [simplify]: Extracting #1: cost 15 inf + 0 5.377 * * [simplify]: Extracting #2: cost 21 inf + 165 5.377 * * [simplify]: Extracting #3: cost 7 inf + 987 5.378 * * [simplify]: Extracting #4: cost 1 inf + 1478 5.378 * * [simplify]: Extracting #5: cost 0 inf + 1560 5.379 * [simplify]: Simplified to (- PI (* (* v v) PI)) 5.379 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma (* v -6) v 2)))) 5.379 * * * [progress]: adding candidates to table 6.336 * * [progress]: iteration 2 / 4 6.336 * * * [progress]: picking best candidate 6.339 * * * * [pick]: Picked # 6.339 * * * [progress]: localizing error 6.402 * * * [progress]: generating rewritten candidates 6.402 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 6.413 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.424 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 6.437 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2) 6.449 * * * [progress]: generating series expansions 6.449 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 6.449 * [backup-simplify]: Simplify (sqrt (- PI (* v (* PI v)))) into (sqrt (- PI (* (pow v 2) PI))) 6.449 * [approximate]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in (v) around 0 6.449 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 6.449 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.449 * [taylor]: Taking taylor expansion of PI in v 6.449 * [backup-simplify]: Simplify PI into PI 6.449 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.449 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.449 * [taylor]: Taking taylor expansion of v in v 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of PI in v 6.449 * [backup-simplify]: Simplify PI into PI 6.450 * [backup-simplify]: Simplify (+ PI 0) into PI 6.450 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 6.451 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 6.451 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.451 * [taylor]: Taking taylor expansion of PI in v 6.451 * [backup-simplify]: Simplify PI into PI 6.451 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.451 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.451 * [taylor]: Taking taylor expansion of v in v 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of PI in v 6.451 * [backup-simplify]: Simplify PI into PI 6.452 * [backup-simplify]: Simplify (+ PI 0) into PI 6.452 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.452 * [backup-simplify]: Simplify (+ 0 0) into 0 6.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 6.454 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify (* 1 1) into 1 6.454 * [backup-simplify]: Simplify (* 1 PI) into PI 6.455 * [backup-simplify]: Simplify (- PI) into (- PI) 6.456 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.460 * [backup-simplify]: Simplify (/ (- (- PI) (pow 0 2) (+)) (* 2 (sqrt PI))) into (* -1/2 (sqrt PI)) 6.461 * [backup-simplify]: Simplify (* -1/2 (sqrt PI)) into (* -1/2 (sqrt PI)) 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 6.463 * [backup-simplify]: Simplify (- 0) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (sqrt PI)))))) (* 2 (sqrt PI))) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 6.467 * [backup-simplify]: Simplify (- 0) into 0 6.468 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into (* -1/8 (sqrt PI)) 6.475 * [backup-simplify]: Simplify (* -1/8 (sqrt PI)) into (* -1/8 (sqrt PI)) 6.477 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt PI)) (pow v 4)) (+ (* (* -1/2 (sqrt PI)) (pow v 2)) (sqrt PI))) into (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 6.477 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (sqrt (- PI (/ PI (pow v 2)))) 6.478 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 6.478 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.478 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.478 * [taylor]: Taking taylor expansion of PI in v 6.478 * [backup-simplify]: Simplify PI into PI 6.478 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.478 * [taylor]: Taking taylor expansion of PI in v 6.478 * [backup-simplify]: Simplify PI into PI 6.478 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.478 * [taylor]: Taking taylor expansion of v in v 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [backup-simplify]: Simplify (* 1 1) into 1 6.479 * [backup-simplify]: Simplify (/ PI 1) into PI 6.479 * [backup-simplify]: Simplify (- PI) into (- PI) 6.480 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.481 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (- 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.484 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.484 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.484 * [taylor]: Taking taylor expansion of PI in v 6.484 * [backup-simplify]: Simplify PI into PI 6.484 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.484 * [taylor]: Taking taylor expansion of PI in v 6.484 * [backup-simplify]: Simplify PI into PI 6.484 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.484 * [taylor]: Taking taylor expansion of v in v 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [backup-simplify]: Simplify (* 1 1) into 1 6.485 * [backup-simplify]: Simplify (/ PI 1) into PI 6.485 * [backup-simplify]: Simplify (- PI) into (- PI) 6.486 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.487 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.489 * [backup-simplify]: Simplify (- 0) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.491 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.491 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.499 * [backup-simplify]: Simplify (+ PI 0) into PI 6.504 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.506 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.509 * [backup-simplify]: Simplify (- 0) into 0 6.509 * [backup-simplify]: Simplify (+ 0 0) into 0 6.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.523 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.528 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.535 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 v) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 v)) (* (sqrt (- PI)) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 6.536 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (sqrt (- PI (/ PI (pow v 2)))) 6.536 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 6.536 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.536 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.536 * [taylor]: Taking taylor expansion of PI in v 6.536 * [backup-simplify]: Simplify PI into PI 6.536 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.536 * [taylor]: Taking taylor expansion of PI in v 6.536 * [backup-simplify]: Simplify PI into PI 6.536 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.536 * [taylor]: Taking taylor expansion of v in v 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (* 1 1) into 1 6.537 * [backup-simplify]: Simplify (/ PI 1) into PI 6.537 * [backup-simplify]: Simplify (- PI) into (- PI) 6.538 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.539 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (- 0) into 0 6.541 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.542 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.542 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.542 * [taylor]: Taking taylor expansion of PI in v 6.542 * [backup-simplify]: Simplify PI into PI 6.542 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.542 * [taylor]: Taking taylor expansion of PI in v 6.542 * [backup-simplify]: Simplify PI into PI 6.542 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.542 * [taylor]: Taking taylor expansion of v in v 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (* 1 1) into 1 6.543 * [backup-simplify]: Simplify (/ PI 1) into PI 6.544 * [backup-simplify]: Simplify (- PI) into (- PI) 6.544 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.545 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.549 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.549 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (- 0) into 0 6.552 * [backup-simplify]: Simplify (+ PI 0) into PI 6.556 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.559 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify (- 0) into 0 6.567 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.580 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.588 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 (- v))) (* (sqrt (- PI)) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 6.588 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.588 * [backup-simplify]: Simplify (sqrt (- PI (* v (* PI v)))) into (sqrt (- PI (* (pow v 2) PI))) 6.588 * [approximate]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in (v) around 0 6.589 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 6.589 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.589 * [taylor]: Taking taylor expansion of PI in v 6.589 * [backup-simplify]: Simplify PI into PI 6.589 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.589 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.589 * [taylor]: Taking taylor expansion of v in v 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [taylor]: Taking taylor expansion of PI in v 6.589 * [backup-simplify]: Simplify PI into PI 6.589 * [backup-simplify]: Simplify (+ PI 0) into PI 6.590 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 6.591 * [taylor]: Taking taylor expansion of (sqrt (- PI (* (pow v 2) PI))) in v 6.591 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.591 * [taylor]: Taking taylor expansion of PI in v 6.591 * [backup-simplify]: Simplify PI into PI 6.591 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.591 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.591 * [taylor]: Taking taylor expansion of v in v 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 1 into 1 6.591 * [taylor]: Taking taylor expansion of PI in v 6.591 * [backup-simplify]: Simplify PI into PI 6.591 * [backup-simplify]: Simplify (+ PI 0) into PI 6.592 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.592 * [backup-simplify]: Simplify (+ 0 0) into 0 6.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt PI))) into 0 6.593 * [backup-simplify]: Simplify (sqrt PI) into (sqrt PI) 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (* 1 1) into 1 6.594 * [backup-simplify]: Simplify (* 1 PI) into PI 6.595 * [backup-simplify]: Simplify (- PI) into (- PI) 6.596 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.600 * [backup-simplify]: Simplify (/ (- (- PI) (pow 0 2) (+)) (* 2 (sqrt PI))) into (* -1/2 (sqrt PI)) 6.601 * [backup-simplify]: Simplify (* -1/2 (sqrt PI)) into (* -1/2 (sqrt PI)) 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 6.603 * [backup-simplify]: Simplify (- 0) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (sqrt PI)))))) (* 2 (sqrt PI))) into 0 6.605 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 6.607 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.614 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (sqrt PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into (* -1/8 (sqrt PI)) 6.615 * [backup-simplify]: Simplify (* -1/8 (sqrt PI)) into (* -1/8 (sqrt PI)) 6.618 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt PI)) (pow v 4)) (+ (* (* -1/2 (sqrt PI)) (pow v 2)) (sqrt PI))) into (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 6.618 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v))))) into (sqrt (- PI (/ PI (pow v 2)))) 6.618 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 6.618 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.618 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.618 * [taylor]: Taking taylor expansion of PI in v 6.618 * [backup-simplify]: Simplify PI into PI 6.618 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.618 * [taylor]: Taking taylor expansion of PI in v 6.618 * [backup-simplify]: Simplify PI into PI 6.619 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.619 * [taylor]: Taking taylor expansion of v in v 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (/ PI 1) into PI 6.620 * [backup-simplify]: Simplify (- PI) into (- PI) 6.621 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.622 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.623 * [backup-simplify]: Simplify (- 0) into 0 6.624 * [backup-simplify]: Simplify (+ 0 0) into 0 6.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.625 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.625 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.625 * [taylor]: Taking taylor expansion of PI in v 6.625 * [backup-simplify]: Simplify PI into PI 6.625 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.625 * [taylor]: Taking taylor expansion of PI in v 6.625 * [backup-simplify]: Simplify PI into PI 6.625 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.625 * [taylor]: Taking taylor expansion of v in v 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [backup-simplify]: Simplify (* 1 1) into 1 6.626 * [backup-simplify]: Simplify (/ PI 1) into PI 6.626 * [backup-simplify]: Simplify (- PI) into (- PI) 6.627 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.627 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.628 * [backup-simplify]: Simplify (- 0) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.630 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.630 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (- 0) into 0 6.631 * [backup-simplify]: Simplify (+ PI 0) into PI 6.633 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.640 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.651 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.655 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 v) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 v)) (* (sqrt (- PI)) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 6.656 * [backup-simplify]: Simplify (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) into (sqrt (- PI (/ PI (pow v 2)))) 6.656 * [approximate]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in (v) around 0 6.656 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.656 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.656 * [taylor]: Taking taylor expansion of PI in v 6.656 * [backup-simplify]: Simplify PI into PI 6.656 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.656 * [taylor]: Taking taylor expansion of PI in v 6.656 * [backup-simplify]: Simplify PI into PI 6.656 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.656 * [taylor]: Taking taylor expansion of v in v 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (* 1 1) into 1 6.656 * [backup-simplify]: Simplify (/ PI 1) into PI 6.656 * [backup-simplify]: Simplify (- PI) into (- PI) 6.657 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.657 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (- 0) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.659 * [taylor]: Taking taylor expansion of (sqrt (- PI (/ PI (pow v 2)))) in v 6.659 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.659 * [taylor]: Taking taylor expansion of PI in v 6.659 * [backup-simplify]: Simplify PI into PI 6.659 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.659 * [taylor]: Taking taylor expansion of PI in v 6.659 * [backup-simplify]: Simplify PI into PI 6.659 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.659 * [taylor]: Taking taylor expansion of v in v 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (* 1 1) into 1 6.660 * [backup-simplify]: Simplify (/ PI 1) into PI 6.660 * [backup-simplify]: Simplify (- PI) into (- PI) 6.661 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.661 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.663 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- PI)))) into 0 6.665 * [backup-simplify]: Simplify (sqrt (- PI)) into (sqrt (- PI)) 6.665 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (- 0) into 0 6.668 * [backup-simplify]: Simplify (+ PI 0) into PI 6.672 * [backup-simplify]: Simplify (/ (- PI (pow 0 2) (+)) (* 2 (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.674 * [backup-simplify]: Simplify (* 1/2 (/ PI (sqrt (- PI)))) into (* 1/2 (/ PI (sqrt (- PI)))) 6.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- 0) into 0 6.675 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ PI (sqrt (- PI)))))))) (* 2 (sqrt (- PI)))) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.683 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ PI (sqrt (- PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- PI)))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.686 * [backup-simplify]: Simplify (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) into (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) 6.690 * [backup-simplify]: Simplify (+ (* (* -1/8 (/ (pow PI 2) (pow (sqrt (- PI)) 3))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/2 (/ PI (sqrt (- PI)))) (/ 1 (- v))) (* (sqrt (- PI)) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 6.690 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 6.690 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* v (* PI v))))) into (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) 6.690 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in (v) around 0 6.690 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 6.691 * [taylor]: Taking taylor expansion of 4/3 in v 6.691 * [backup-simplify]: Simplify 4/3 into 4/3 6.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 6.691 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 6.691 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.691 * [taylor]: Taking taylor expansion of PI in v 6.691 * [backup-simplify]: Simplify PI into PI 6.691 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.691 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.691 * [taylor]: Taking taylor expansion of v in v 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 1 into 1 6.691 * [taylor]: Taking taylor expansion of PI in v 6.691 * [backup-simplify]: Simplify PI into PI 6.691 * [backup-simplify]: Simplify (+ PI 0) into PI 6.691 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 6.692 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 6.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 6.693 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (* (pow v 2) PI))))) in v 6.693 * [taylor]: Taking taylor expansion of 4/3 in v 6.693 * [backup-simplify]: Simplify 4/3 into 4/3 6.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (* (pow v 2) PI)))) in v 6.693 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 6.693 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 6.693 * [taylor]: Taking taylor expansion of PI in v 6.693 * [backup-simplify]: Simplify PI into PI 6.693 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 6.693 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.693 * [taylor]: Taking taylor expansion of v in v 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [taylor]: Taking taylor expansion of PI in v 6.693 * [backup-simplify]: Simplify PI into PI 6.694 * [backup-simplify]: Simplify (+ PI 0) into PI 6.694 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 6.695 * [backup-simplify]: Simplify (sqrt (/ 1 PI)) into (sqrt (/ 1 PI)) 6.695 * [backup-simplify]: Simplify (+ 0 0) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 6.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 PI)))) into 0 6.697 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ 1 PI))) into (* 4/3 (sqrt (/ 1 PI))) 6.698 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ 1 PI))) into (* 4/3 (sqrt (/ 1 PI))) 6.699 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ 1 PI)))) into 0 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify (* 1 1) into 1 6.699 * [backup-simplify]: Simplify (* 1 PI) into PI 6.699 * [backup-simplify]: Simplify (- PI) into (- PI) 6.700 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 6.706 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow 0 2) (+)) (* 2 (sqrt (/ 1 PI)))) into (* 1/2 (sqrt (/ 1 PI))) 6.709 * [backup-simplify]: Simplify (+ (* 4/3 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))) into (* 2/3 (sqrt (/ 1 PI))) 6.710 * [backup-simplify]: Simplify (* 2/3 (sqrt (/ 1 PI))) into (* 2/3 (sqrt (/ 1 PI))) 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 6.711 * [backup-simplify]: Simplify (- 0) into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 6.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (sqrt (/ 1 PI))))))) (* 2 (sqrt (/ 1 PI)))) into 0 6.714 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI)))))) into 0 6.714 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 6.716 * [backup-simplify]: Simplify (- 0) into 0 6.716 * [backup-simplify]: Simplify (+ 0 0) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 6.729 * [backup-simplify]: Simplify (/ (- (/ 1 PI) (pow (* 1/2 (sqrt (/ 1 PI))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 PI)))) into (* 3/8 (sqrt (/ 1 PI))) 6.733 * [backup-simplify]: Simplify (+ (* 4/3 (* 3/8 (sqrt (/ 1 PI)))) (+ (* 0 0) (+ (* 0 (* 1/2 (sqrt (/ 1 PI)))) (+ (* 0 0) (* 0 (sqrt (/ 1 PI))))))) into (* 1/2 (sqrt (/ 1 PI))) 6.734 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 PI))) into (* 1/2 (sqrt (/ 1 PI))) 6.737 * [backup-simplify]: Simplify (+ (* (* 1/2 (sqrt (/ 1 PI))) (pow v 4)) (+ (* (* 2/3 (sqrt (/ 1 PI))) (pow v 2)) (* 4/3 (sqrt (/ 1 PI))))) into (+ (* 1/2 (* (pow v 4) (sqrt (/ 1 PI)))) (+ (* 2/3 (* (pow v 2) (sqrt (/ 1 PI)))) (* 4/3 (sqrt (/ 1 PI))))) 6.737 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* (/ 1 v) (* PI (/ 1 v)))))) into (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 6.737 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 6.737 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 6.737 * [taylor]: Taking taylor expansion of 4/3 in v 6.737 * [backup-simplify]: Simplify 4/3 into 4/3 6.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 6.737 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 6.737 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.737 * [taylor]: Taking taylor expansion of PI in v 6.737 * [backup-simplify]: Simplify PI into PI 6.737 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.738 * [taylor]: Taking taylor expansion of PI in v 6.738 * [backup-simplify]: Simplify PI into PI 6.738 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.738 * [taylor]: Taking taylor expansion of v in v 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (* 1 1) into 1 6.738 * [backup-simplify]: Simplify (/ PI 1) into PI 6.738 * [backup-simplify]: Simplify (- PI) into (- PI) 6.739 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.739 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 6.740 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 6.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.741 * [backup-simplify]: Simplify (- 0) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.742 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 6.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 6.742 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 6.742 * [taylor]: Taking taylor expansion of 4/3 in v 6.742 * [backup-simplify]: Simplify 4/3 into 4/3 6.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 6.742 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 6.743 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.743 * [taylor]: Taking taylor expansion of PI in v 6.743 * [backup-simplify]: Simplify PI into PI 6.743 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.743 * [taylor]: Taking taylor expansion of PI in v 6.743 * [backup-simplify]: Simplify PI into PI 6.743 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.743 * [taylor]: Taking taylor expansion of v in v 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (* 1 1) into 1 6.743 * [backup-simplify]: Simplify (/ PI 1) into PI 6.743 * [backup-simplify]: Simplify (- PI) into (- PI) 6.744 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.745 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 6.745 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 6.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.746 * [backup-simplify]: Simplify (- 0) into 0 6.747 * [backup-simplify]: Simplify (+ 0 0) into 0 6.747 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 6.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 6.749 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 6.750 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 6.750 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ -1 PI)))) into 0 6.750 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify (- 0) into 0 6.752 * [backup-simplify]: Simplify (+ PI 0) into PI 6.755 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 6.758 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 6.762 * [backup-simplify]: Simplify (+ (* 4/3 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 6.764 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (- 0) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 6.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 6.769 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 6.769 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (- 0) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 6.782 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 6.796 * [backup-simplify]: Simplify (+ (* 4/3 (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 6.811 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 6.824 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 v) 5)) (+ (* (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 v) 3)) (* (* 4/3 (sqrt (/ -1 PI))) (/ 1 v)))) into (- (* 4/3 (/ (sqrt (/ -1 PI)) v)) (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI))))))))) 6.824 * [backup-simplify]: Simplify (/ 4/3 (sqrt (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) into (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) 6.824 * [approximate]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in (v) around 0 6.824 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 6.824 * [taylor]: Taking taylor expansion of 4/3 in v 6.824 * [backup-simplify]: Simplify 4/3 into 4/3 6.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 6.824 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 6.824 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.824 * [taylor]: Taking taylor expansion of PI in v 6.824 * [backup-simplify]: Simplify PI into PI 6.824 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.824 * [taylor]: Taking taylor expansion of PI in v 6.824 * [backup-simplify]: Simplify PI into PI 6.824 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.824 * [taylor]: Taking taylor expansion of v in v 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (* 1 1) into 1 6.825 * [backup-simplify]: Simplify (/ PI 1) into PI 6.825 * [backup-simplify]: Simplify (- PI) into (- PI) 6.825 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.826 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 6.826 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 6.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.828 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 6.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 6.829 * [taylor]: Taking taylor expansion of (* 4/3 (sqrt (/ 1 (- PI (/ PI (pow v 2)))))) in v 6.829 * [taylor]: Taking taylor expansion of 4/3 in v 6.829 * [backup-simplify]: Simplify 4/3 into 4/3 6.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- PI (/ PI (pow v 2))))) in v 6.829 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 6.829 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 6.829 * [taylor]: Taking taylor expansion of PI in v 6.829 * [backup-simplify]: Simplify PI into PI 6.829 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 6.829 * [taylor]: Taking taylor expansion of PI in v 6.829 * [backup-simplify]: Simplify PI into PI 6.829 * [taylor]: Taking taylor expansion of (pow v 2) in v 6.829 * [taylor]: Taking taylor expansion of v in v 6.829 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify 1 into 1 6.829 * [backup-simplify]: Simplify (* 1 1) into 1 6.830 * [backup-simplify]: Simplify (/ PI 1) into PI 6.830 * [backup-simplify]: Simplify (- PI) into (- PI) 6.830 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.831 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 6.831 * [backup-simplify]: Simplify (sqrt (/ -1 PI)) into (sqrt (/ -1 PI)) 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify (- 0) into 0 6.833 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 6.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 PI)))) into 0 6.835 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 6.836 * [backup-simplify]: Simplify (* 4/3 (sqrt (/ -1 PI))) into (* 4/3 (sqrt (/ -1 PI))) 6.836 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (sqrt (/ -1 PI)))) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (- 0) into 0 6.838 * [backup-simplify]: Simplify (+ PI 0) into PI 6.841 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 6.844 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow 0 2) (+)) (* 2 (sqrt (/ -1 PI)))) into (/ -1/2 (* PI (sqrt (/ -1 PI)))) 6.848 * [backup-simplify]: Simplify (+ (* 4/3 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 6.851 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) into (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) 6.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 6.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI)))))))) (* 2 (sqrt (/ -1 PI)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI)))))) into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 6.882 * [backup-simplify]: Simplify (/ (- (- (/ 1 PI)) (pow (/ -1/2 (* PI (sqrt (/ -1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -1 PI)))) into (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI)))) 6.894 * [backup-simplify]: Simplify (+ (* 4/3 (* -1/2 (/ (+ (/ 1 PI) (* 1/4 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 2))))) (sqrt (/ -1 PI))))) (+ (* 0 0) (+ (* 0 (/ -1/2 (* PI (sqrt (/ -1 PI))))) (+ (* 0 0) (* 0 (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 6.907 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) into (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) 6.919 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/6 (/ 1 (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3)))) (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI))))))) (pow (/ 1 (- v)) 5)) (+ (* (- (* 2/3 (/ 1 (* PI (sqrt (/ -1 PI)))))) (pow (/ 1 (- v)) 3)) (* (* 4/3 (sqrt (/ -1 PI))) (/ 1 (- v))))) into (- (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (* 4/3 (/ (sqrt (/ -1 PI)) v))) 6.919 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2) 6.919 * [backup-simplify]: Simplify (* PI v) into (* v PI) 6.919 * [approximate]: Taking taylor expansion of (* v PI) in (v) around 0 6.919 * [taylor]: Taking taylor expansion of (* v PI) in v 6.919 * [taylor]: Taking taylor expansion of v in v 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of PI in v 6.919 * [backup-simplify]: Simplify PI into PI 6.919 * [taylor]: Taking taylor expansion of (* v PI) in v 6.919 * [taylor]: Taking taylor expansion of v in v 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of PI in v 6.919 * [backup-simplify]: Simplify PI into PI 6.920 * [backup-simplify]: Simplify (* 0 PI) into 0 6.920 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.921 * [backup-simplify]: Simplify PI into PI 6.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.923 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (* PI v) into (* v PI) 6.925 * [backup-simplify]: Simplify (* PI (/ 1 v)) into (/ PI v) 6.925 * [approximate]: Taking taylor expansion of (/ PI v) in (v) around 0 6.925 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.925 * [taylor]: Taking taylor expansion of PI in v 6.925 * [backup-simplify]: Simplify PI into PI 6.925 * [taylor]: Taking taylor expansion of v in v 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ PI 1) into PI 6.926 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.926 * [taylor]: Taking taylor expansion of PI in v 6.926 * [backup-simplify]: Simplify PI into PI 6.926 * [taylor]: Taking taylor expansion of v in v 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ PI 1) into PI 6.926 * [backup-simplify]: Simplify PI into PI 6.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.930 * [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 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 v))) into (* v PI) 6.930 * [backup-simplify]: Simplify (* PI (/ 1 (- v))) into (* -1 (/ PI v)) 6.930 * [approximate]: Taking taylor expansion of (* -1 (/ PI v)) in (v) around 0 6.930 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 6.930 * [taylor]: Taking taylor expansion of -1 in v 6.930 * [backup-simplify]: Simplify -1 into -1 6.930 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.930 * [taylor]: Taking taylor expansion of PI in v 6.930 * [backup-simplify]: Simplify PI into PI 6.930 * [taylor]: Taking taylor expansion of v in v 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (/ PI 1) into PI 6.930 * [taylor]: Taking taylor expansion of (* -1 (/ PI v)) in v 6.930 * [taylor]: Taking taylor expansion of -1 in v 6.930 * [backup-simplify]: Simplify -1 into -1 6.930 * [taylor]: Taking taylor expansion of (/ PI v) in v 6.930 * [taylor]: Taking taylor expansion of PI in v 6.930 * [backup-simplify]: Simplify PI into PI 6.930 * [taylor]: Taking taylor expansion of v in v 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.931 * [backup-simplify]: Simplify (/ PI 1) into PI 6.931 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.931 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 6.932 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.938 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [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 6.940 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- v)))) into (* v PI) 6.940 * * * [progress]: simplifying candidates 6.940 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 6.940 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 6.941 * [simplify]: Simplifying (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) 6.941 * * [simplify]: iters left: 6 (8 enodes) 6.942 * * [simplify]: iters left: 5 (29 enodes) 6.947 * * [simplify]: iters left: 4 (41 enodes) 6.953 * * [simplify]: iters left: 3 (65 enodes) 6.962 * * [simplify]: iters left: 2 (72 enodes) 6.973 * * [simplify]: iters left: 1 (86 enodes) 6.999 * * [simplify]: Extracting #0: cost 1 inf + 0 6.999 * * [simplify]: Extracting #1: cost 4 inf + 0 6.999 * * [simplify]: Extracting #2: cost 7 inf + 0 6.999 * * [simplify]: Extracting #3: cost 21 inf + 0 7.000 * * [simplify]: Extracting #4: cost 27 inf + 124 7.000 * * [simplify]: Extracting #5: cost 12 inf + 1268 7.001 * * [simplify]: Extracting #6: cost 0 inf + 2931 7.003 * [simplify]: Simplified to (fabs (cbrt (- PI (* (* v v) PI)))) 7.003 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (* (fabs (cbrt (- PI (* (* v v) PI)))) (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 7.003 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 7.003 * [simplify]: Simplifying (sqrt (sqrt (- PI (* v (* PI v))))) 7.003 * * [simplify]: iters left: 6 (7 enodes) 7.007 * * [simplify]: iters left: 5 (25 enodes) 7.014 * * [simplify]: iters left: 4 (37 enodes) 7.026 * * [simplify]: iters left: 3 (61 enodes) 7.044 * * [simplify]: iters left: 2 (68 enodes) 7.056 * * [simplify]: iters left: 1 (82 enodes) 7.067 * * [simplify]: Extracting #0: cost 1 inf + 0 7.067 * * [simplify]: Extracting #1: cost 3 inf + 0 7.067 * * [simplify]: Extracting #2: cost 5 inf + 0 7.067 * * [simplify]: Extracting #3: cost 19 inf + 0 7.067 * * [simplify]: Extracting #4: cost 27 inf + 2 7.068 * * [simplify]: Extracting #5: cost 7 inf + 1354 7.068 * * [simplify]: Extracting #6: cost 0 inf + 2287 7.069 * [simplify]: Simplified to (sqrt (sqrt (- PI (* (* v v) PI)))) 7.069 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (* (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 7.069 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 7.069 * [simplify]: Simplifying (sqrt 1) 7.069 * * [simplify]: iters left: 1 (2 enodes) 7.071 * * [simplify]: Extracting #0: cost 1 inf + 0 7.071 * * [simplify]: Extracting #1: cost 0 inf + 1 7.071 * [simplify]: Simplified to 1 7.071 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (* 1 (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 7.071 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 7.071 * [simplify]: Simplifying (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3))) 7.071 * * [simplify]: iters left: 6 (9 enodes) 7.074 * * [simplify]: iters left: 5 (47 enodes) 7.088 * * [simplify]: iters left: 4 (133 enodes) 7.148 * * [simplify]: iters left: 3 (480 enodes) 7.674 * * [simplify]: Extracting #0: cost 1 inf + 0 7.675 * * [simplify]: Extracting #1: cost 3 inf + 0 7.675 * * [simplify]: Extracting #2: cost 60 inf + 0 7.676 * * [simplify]: Extracting #3: cost 281 inf + 125 7.679 * * [simplify]: Extracting #4: cost 264 inf + 14144 7.708 * * [simplify]: Extracting #5: cost 74 inf + 68869 7.741 * * [simplify]: Extracting #6: cost 2 inf + 100015 7.774 * * [simplify]: Extracting #7: cost 0 inf + 100279 7.807 * [simplify]: Simplified to (sqrt (- (* (* PI PI) PI) (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v)))))) 7.807 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (/ (sqrt (- (* (* PI PI) PI) (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v)))))) (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))))))) (sqrt (fma (* v -6) v 2)))) 7.807 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 7.808 * [simplify]: Simplifying (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) 7.808 * * [simplify]: iters left: 6 (8 enodes) 7.812 * * [simplify]: iters left: 5 (39 enodes) 7.827 * * [simplify]: iters left: 4 (97 enodes) 7.858 * * [simplify]: iters left: 3 (254 enodes) 7.963 * * [simplify]: Extracting #0: cost 1 inf + 0 7.963 * * [simplify]: Extracting #1: cost 3 inf + 0 7.963 * * [simplify]: Extracting #2: cost 40 inf + 0 7.964 * * [simplify]: Extracting #3: cost 85 inf + 1601 7.966 * * [simplify]: Extracting #4: cost 26 inf + 10307 7.971 * * [simplify]: Extracting #5: cost 0 inf + 13741 7.978 * * [simplify]: Extracting #6: cost 0 inf + 13661 7.985 * [simplify]: Simplified to (sqrt (- (* PI PI) (* (* PI (* v v)) (* PI (* v v))))) 7.985 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (/ (sqrt (- (* PI PI) (* (* PI (* v v)) (* PI (* v v))))) (sqrt (+ PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 7.985 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 7.986 * [simplify]: Simplifying (- PI (* v (* PI v))) 7.986 * * [simplify]: iters left: 6 (5 enodes) 7.988 * * [simplify]: iters left: 5 (19 enodes) 7.993 * * [simplify]: iters left: 4 (31 enodes) 8.005 * * [simplify]: iters left: 3 (55 enodes) 8.019 * * [simplify]: iters left: 2 (62 enodes) 8.033 * * [simplify]: iters left: 1 (76 enodes) 8.045 * * [simplify]: Extracting #0: cost 1 inf + 0 8.045 * * [simplify]: Extracting #1: cost 15 inf + 0 8.045 * * [simplify]: Extracting #2: cost 23 inf + 2 8.046 * * [simplify]: Extracting #3: cost 8 inf + 986 8.046 * * [simplify]: Extracting #4: cost 1 inf + 1477 8.047 * * [simplify]: Extracting #5: cost 0 inf + 1559 8.047 * [simplify]: Simplified to (- PI (* (* PI v) v)) 8.047 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (pow (- PI (* (* PI v) v)) (/ 1 2)))) (sqrt (fma (* v -6) v 2)))) 8.047 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 8.047 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 8.047 * [simplify]: Simplifying (sqrt (- PI (* v (* PI v)))) 8.047 * * [simplify]: iters left: 6 (6 enodes) 8.049 * * [simplify]: iters left: 5 (22 enodes) 8.052 * * [simplify]: iters left: 4 (34 enodes) 8.057 * * [simplify]: iters left: 3 (58 enodes) 8.065 * * [simplify]: iters left: 2 (65 enodes) 8.074 * * [simplify]: iters left: 1 (79 enodes) 8.092 * * [simplify]: Extracting #0: cost 1 inf + 0 8.092 * * [simplify]: Extracting #1: cost 3 inf + 0 8.093 * * [simplify]: Extracting #2: cost 17 inf + 0 8.093 * * [simplify]: Extracting #3: cost 23 inf + 84 8.093 * * [simplify]: Extracting #4: cost 9 inf + 1146 8.094 * * [simplify]: Extracting #5: cost 0 inf + 1883 8.094 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 8.094 * [simplify]: Simplified (2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (fabs (sqrt (- PI (* PI (* v v))))))) (sqrt (fma (* v -6) v 2)))) 8.094 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 18 / 113 ] simplifiying candidate #real (real->posit16 (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2))))> 8.095 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 26 / 113 ] simplifiying candidate # 8.095 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 8.095 * [simplify]: Simplifying (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) 8.095 * * [simplify]: iters left: 6 (8 enodes) 8.098 * * [simplify]: iters left: 5 (29 enodes) 8.102 * * [simplify]: iters left: 4 (41 enodes) 8.109 * * [simplify]: iters left: 3 (65 enodes) 8.117 * * [simplify]: iters left: 2 (72 enodes) 8.131 * * [simplify]: iters left: 1 (86 enodes) 8.153 * * [simplify]: Extracting #0: cost 1 inf + 0 8.153 * * [simplify]: Extracting #1: cost 4 inf + 0 8.153 * * [simplify]: Extracting #2: cost 7 inf + 0 8.153 * * [simplify]: Extracting #3: cost 21 inf + 0 8.154 * * [simplify]: Extracting #4: cost 27 inf + 124 8.154 * * [simplify]: Extracting #5: cost 12 inf + 1268 8.156 * * [simplify]: Extracting #6: cost 0 inf + 2931 8.157 * [simplify]: Simplified to (fabs (cbrt (- PI (* (* v v) PI)))) 8.157 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (* (fabs (cbrt (- PI (* (* v v) PI)))) (sqrt (cbrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 8.157 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 8.158 * [simplify]: Simplifying (sqrt (sqrt (- PI (* v (* PI v))))) 8.158 * * [simplify]: iters left: 6 (7 enodes) 8.161 * * [simplify]: iters left: 5 (25 enodes) 8.168 * * [simplify]: iters left: 4 (37 enodes) 8.180 * * [simplify]: iters left: 3 (61 enodes) 8.196 * * [simplify]: iters left: 2 (68 enodes) 8.216 * * [simplify]: iters left: 1 (82 enodes) 8.237 * * [simplify]: Extracting #0: cost 1 inf + 0 8.237 * * [simplify]: Extracting #1: cost 3 inf + 0 8.237 * * [simplify]: Extracting #2: cost 5 inf + 0 8.237 * * [simplify]: Extracting #3: cost 19 inf + 0 8.238 * * [simplify]: Extracting #4: cost 27 inf + 2 8.238 * * [simplify]: Extracting #5: cost 7 inf + 1354 8.239 * * [simplify]: Extracting #6: cost 0 inf + 2287 8.241 * [simplify]: Simplified to (sqrt (sqrt (- PI (* (* v v) PI)))) 8.241 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (* (sqrt (sqrt (- PI (* (* v v) PI)))) (sqrt (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 8.241 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 8.241 * [simplify]: Simplifying (sqrt 1) 8.241 * * [simplify]: iters left: 1 (2 enodes) 8.245 * * [simplify]: Extracting #0: cost 1 inf + 0 8.245 * * [simplify]: Extracting #1: cost 0 inf + 1 8.245 * [simplify]: Simplified to 1 8.245 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (* 1 (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 8.245 * * * * [progress]: [ 30 / 113 ] simplifiying candidate # 8.246 * [simplify]: Simplifying (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3))) 8.246 * * [simplify]: iters left: 6 (9 enodes) 8.251 * * [simplify]: iters left: 5 (47 enodes) 8.274 * * [simplify]: iters left: 4 (133 enodes) 8.351 * * [simplify]: iters left: 3 (480 enodes) 8.745 * * [simplify]: Extracting #0: cost 1 inf + 0 8.745 * * [simplify]: Extracting #1: cost 3 inf + 0 8.745 * * [simplify]: Extracting #2: cost 60 inf + 0 8.746 * * [simplify]: Extracting #3: cost 281 inf + 125 8.750 * * [simplify]: Extracting #4: cost 264 inf + 14144 8.762 * * [simplify]: Extracting #5: cost 74 inf + 68869 8.778 * * [simplify]: Extracting #6: cost 2 inf + 100015 8.807 * * [simplify]: Extracting #7: cost 0 inf + 100279 8.824 * [simplify]: Simplified to (sqrt (- (* (* PI PI) PI) (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v)))))) 8.824 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (/ (sqrt (- (* (* PI PI) PI) (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v)))))) (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 8.825 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 8.825 * [simplify]: Simplifying (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) 8.825 * * [simplify]: iters left: 6 (8 enodes) 8.830 * * [simplify]: iters left: 5 (39 enodes) 8.845 * * [simplify]: iters left: 4 (97 enodes) 8.891 * * [simplify]: iters left: 3 (254 enodes) 9.024 * * [simplify]: Extracting #0: cost 1 inf + 0 9.024 * * [simplify]: Extracting #1: cost 3 inf + 0 9.024 * * [simplify]: Extracting #2: cost 40 inf + 0 9.025 * * [simplify]: Extracting #3: cost 85 inf + 1601 9.031 * * [simplify]: Extracting #4: cost 26 inf + 10307 9.039 * * [simplify]: Extracting #5: cost 0 inf + 13741 9.047 * * [simplify]: Extracting #6: cost 0 inf + 13661 9.056 * [simplify]: Simplified to (sqrt (- (* PI PI) (* (* PI (* v v)) (* PI (* v v))))) 9.056 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (/ (sqrt (- (* PI PI) (* (* PI (* v v)) (* PI (* v v))))) (sqrt (+ PI (* v (* PI v)))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 9.057 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 9.057 * [simplify]: Simplifying (- PI (* v (* PI v))) 9.057 * * [simplify]: iters left: 6 (5 enodes) 9.059 * * [simplify]: iters left: 5 (19 enodes) 9.065 * * [simplify]: iters left: 4 (31 enodes) 9.075 * * [simplify]: iters left: 3 (55 enodes) 9.090 * * [simplify]: iters left: 2 (62 enodes) 9.100 * * [simplify]: iters left: 1 (76 enodes) 9.109 * * [simplify]: Extracting #0: cost 1 inf + 0 9.109 * * [simplify]: Extracting #1: cost 15 inf + 0 9.109 * * [simplify]: Extracting #2: cost 23 inf + 2 9.109 * * [simplify]: Extracting #3: cost 8 inf + 986 9.110 * * [simplify]: Extracting #4: cost 1 inf + 1477 9.110 * * [simplify]: Extracting #5: cost 0 inf + 1559 9.111 * [simplify]: Simplified to (- PI (* (* PI v) v)) 9.111 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (pow (- PI (* (* PI v) v)) (/ 1 2))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 9.111 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 9.111 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 9.111 * [simplify]: Simplifying (sqrt (- PI (* v (* PI v)))) 9.111 * * [simplify]: iters left: 6 (6 enodes) 9.114 * * [simplify]: iters left: 5 (22 enodes) 9.117 * * [simplify]: iters left: 4 (34 enodes) 9.122 * * [simplify]: iters left: 3 (58 enodes) 9.135 * * [simplify]: iters left: 2 (65 enodes) 9.148 * * [simplify]: iters left: 1 (79 enodes) 9.159 * * [simplify]: Extracting #0: cost 1 inf + 0 9.159 * * [simplify]: Extracting #1: cost 3 inf + 0 9.159 * * [simplify]: Extracting #2: cost 17 inf + 0 9.159 * * [simplify]: Extracting #3: cost 23 inf + 84 9.159 * * [simplify]: Extracting #4: cost 9 inf + 1146 9.160 * * [simplify]: Extracting #5: cost 0 inf + 1883 9.160 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 9.160 * [simplify]: Simplified (2 1 1 2 1) to (λ (v) (/ (* (/ 1 (fabs (sqrt (- PI (* PI (* v v)))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 9.160 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 9.160 * * * * [progress]: [ 36 / 113 ] simplifiying candidate #real (real->posit16 (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2))))> 9.160 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 9.160 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 9.161 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 9.161 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 9.161 * [simplify]: Simplifying (- (log 4/3) (log (sqrt (- PI (* v (* PI v)))))) 9.161 * * [simplify]: iters left: 6 (10 enodes) 9.163 * * [simplify]: iters left: 5 (36 enodes) 9.169 * * [simplify]: iters left: 4 (51 enodes) 9.184 * * [simplify]: iters left: 3 (75 enodes) 9.206 * * [simplify]: iters left: 2 (82 enodes) 9.230 * * [simplify]: iters left: 1 (96 enodes) 9.256 * * [simplify]: Extracting #0: cost 1 inf + 0 9.256 * * [simplify]: Extracting #1: cost 5 inf + 0 9.256 * * [simplify]: Extracting #2: cost 10 inf + 0 9.256 * * [simplify]: Extracting #3: cost 11 inf + 1 9.256 * * [simplify]: Extracting #4: cost 23 inf + 143 9.256 * * [simplify]: Extracting #5: cost 24 inf + 595 9.257 * * [simplify]: Extracting #6: cost 4 inf + 2902 9.259 * * [simplify]: Extracting #7: cost 0 inf + 3720 9.261 * [simplify]: Simplified to (- (log 4/3) (log (sqrt (- PI (* (* v v) PI))))) 9.261 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (exp (- (log 4/3) (log (sqrt (- PI (* (* v v) PI))))))) (sqrt (fma (* v -6) v 2)))) 9.261 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 9.261 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 9.261 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 9.261 * [simplify]: Simplifying (/ (* (* 4/3 4/3) 4/3) (* (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* v (* PI v)))))) 9.262 * * [simplify]: iters left: 6 (12 enodes) 9.268 * * [simplify]: iters left: 5 (48 enodes) 9.286 * * [simplify]: iters left: 4 (110 enodes) 9.319 * * [simplify]: iters left: 3 (262 enodes) 9.372 * * [simplify]: Extracting #0: cost 1 inf + 0 9.372 * * [simplify]: Extracting #1: cost 39 inf + 0 9.372 * * [simplify]: Extracting #2: cost 94 inf + 3 9.373 * * [simplify]: Extracting #3: cost 133 inf + 457 9.374 * * [simplify]: Extracting #4: cost 97 inf + 4877 9.379 * * [simplify]: Extracting #5: cost 19 inf + 22493 9.391 * * [simplify]: Extracting #6: cost 0 inf + 26947 9.403 * [simplify]: Simplified to (/ (/ 64/27 (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) 9.404 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (cbrt (/ (/ 64/27 (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 9.404 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 9.404 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 9.404 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 9.404 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 9.404 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 9.404 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) 9.405 * * [simplify]: iters left: 6 (12 enodes) 9.411 * * [simplify]: iters left: 5 (46 enodes) 9.426 * * [simplify]: iters left: 4 (73 enodes) 9.454 * * [simplify]: iters left: 3 (104 enodes) 9.484 * * [simplify]: iters left: 2 (114 enodes) 9.513 * * [simplify]: iters left: 1 (128 enodes) 9.533 * * [simplify]: Extracting #0: cost 1 inf + 0 9.533 * * [simplify]: Extracting #1: cost 11 inf + 0 9.533 * * [simplify]: Extracting #2: cost 22 inf + 0 9.533 * * [simplify]: Extracting #3: cost 23 inf + 1 9.533 * * [simplify]: Extracting #4: cost 36 inf + 82 9.534 * * [simplify]: Extracting #5: cost 39 inf + 490 9.534 * * [simplify]: Extracting #6: cost 20 inf + 2081 9.535 * * [simplify]: Extracting #7: cost 3 inf + 7004 9.537 * * [simplify]: Extracting #8: cost 0 inf + 8012 9.538 * [simplify]: Simplified to (* (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v))))))) 9.538 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.538 * [simplify]: Simplifying (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) 9.539 * * [simplify]: iters left: 6 (10 enodes) 9.541 * * [simplify]: iters left: 5 (34 enodes) 9.547 * * [simplify]: iters left: 4 (46 enodes) 9.561 * * [simplify]: iters left: 3 (70 enodes) 9.573 * * [simplify]: iters left: 2 (77 enodes) 9.584 * * [simplify]: iters left: 1 (91 enodes) 9.595 * * [simplify]: Extracting #0: cost 1 inf + 0 9.596 * * [simplify]: Extracting #1: cost 4 inf + 0 9.596 * * [simplify]: Extracting #2: cost 8 inf + 0 9.596 * * [simplify]: Extracting #3: cost 9 inf + 1 9.596 * * [simplify]: Extracting #4: cost 21 inf + 163 9.596 * * [simplify]: Extracting #5: cost 26 inf + 330 9.596 * * [simplify]: Extracting #6: cost 3 inf + 2771 9.597 * * [simplify]: Extracting #7: cost 0 inf + 3256 9.598 * [simplify]: Simplified to (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) 9.598 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (cbrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.598 * * * * [progress]: [ 49 / 113 ] simplifiying candidate # 9.598 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) 9.598 * * [simplify]: iters left: 6 (12 enodes) 9.604 * * [simplify]: iters left: 5 (43 enodes) 9.617 * * [simplify]: iters left: 4 (59 enodes) 9.637 * * [simplify]: iters left: 3 (86 enodes) 9.665 * * [simplify]: iters left: 2 (93 enodes) 9.688 * * [simplify]: iters left: 1 (107 enodes) 9.701 * * [simplify]: Extracting #0: cost 1 inf + 0 9.701 * * [simplify]: Extracting #1: cost 7 inf + 0 9.701 * * [simplify]: Extracting #2: cost 15 inf + 0 9.702 * * [simplify]: Extracting #3: cost 17 inf + 1 9.702 * * [simplify]: Extracting #4: cost 30 inf + 82 9.702 * * [simplify]: Extracting #5: cost 32 inf + 531 9.702 * * [simplify]: Extracting #6: cost 14 inf + 2000 9.703 * * [simplify]: Extracting #7: cost 0 inf + 5594 9.704 * [simplify]: Simplified to (* (/ (cbrt 4/3) (fabs (cbrt (- PI (* (* v v) PI))))) (cbrt 4/3)) 9.704 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (/ (cbrt 4/3) (fabs (cbrt (- PI (* (* v v) PI))))) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.705 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) 9.705 * * [simplify]: iters left: 6 (10 enodes) 9.707 * * [simplify]: iters left: 5 (34 enodes) 9.712 * * [simplify]: iters left: 4 (46 enodes) 9.725 * * [simplify]: iters left: 3 (70 enodes) 9.746 * * [simplify]: iters left: 2 (77 enodes) 9.765 * * [simplify]: iters left: 1 (91 enodes) 9.787 * * [simplify]: Extracting #0: cost 1 inf + 0 9.787 * * [simplify]: Extracting #1: cost 4 inf + 0 9.787 * * [simplify]: Extracting #2: cost 8 inf + 0 9.787 * * [simplify]: Extracting #3: cost 9 inf + 1 9.787 * * [simplify]: Extracting #4: cost 21 inf + 163 9.788 * * [simplify]: Extracting #5: cost 26 inf + 330 9.788 * * [simplify]: Extracting #6: cost 3 inf + 2851 9.789 * * [simplify]: Extracting #7: cost 0 inf + 3336 9.789 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) 9.789 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ (cbrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.790 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 9.790 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) 9.790 * * [simplify]: iters left: 6 (11 enodes) 9.793 * * [simplify]: iters left: 5 (39 enodes) 9.799 * * [simplify]: iters left: 4 (55 enodes) 9.808 * * [simplify]: iters left: 3 (82 enodes) 9.823 * * [simplify]: iters left: 2 (89 enodes) 9.846 * * [simplify]: iters left: 1 (103 enodes) 9.873 * * [simplify]: Extracting #0: cost 1 inf + 0 9.873 * * [simplify]: Extracting #1: cost 7 inf + 0 9.873 * * [simplify]: Extracting #2: cost 14 inf + 0 9.873 * * [simplify]: Extracting #3: cost 15 inf + 1 9.874 * * [simplify]: Extracting #4: cost 28 inf + 82 9.874 * * [simplify]: Extracting #5: cost 29 inf + 612 9.875 * * [simplify]: Extracting #6: cost 9 inf + 2487 9.876 * * [simplify]: Extracting #7: cost 1 inf + 4628 9.878 * * [simplify]: Extracting #8: cost 0 inf + 4710 9.880 * [simplify]: Simplified to (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) 9.880 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.881 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 9.881 * * [simplify]: iters left: 6 (10 enodes) 9.888 * * [simplify]: iters left: 5 (34 enodes) 9.899 * * [simplify]: iters left: 4 (46 enodes) 9.914 * * [simplify]: iters left: 3 (70 enodes) 9.930 * * [simplify]: iters left: 2 (77 enodes) 9.940 * * [simplify]: iters left: 1 (91 enodes) 9.953 * * [simplify]: Extracting #0: cost 1 inf + 0 9.953 * * [simplify]: Extracting #1: cost 4 inf + 0 9.953 * * [simplify]: Extracting #2: cost 8 inf + 0 9.953 * * [simplify]: Extracting #3: cost 9 inf + 1 9.953 * * [simplify]: Extracting #4: cost 21 inf + 163 9.953 * * [simplify]: Extracting #5: cost 26 inf + 330 9.953 * * [simplify]: Extracting #6: cost 3 inf + 2651 9.954 * * [simplify]: Extracting #7: cost 0 inf + 3096 9.955 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 9.955 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 9.955 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 9.956 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt 1)) 9.956 * * [simplify]: iters left: 5 (6 enodes) 9.959 * * [simplify]: iters left: 4 (22 enodes) 9.963 * * [simplify]: iters left: 3 (28 enodes) 9.967 * * [simplify]: iters left: 2 (32 enodes) 9.972 * * [simplify]: iters left: 1 (33 enodes) 9.976 * * [simplify]: Extracting #0: cost 1 inf + 0 9.976 * * [simplify]: Extracting #1: cost 5 inf + 0 9.976 * * [simplify]: Extracting #2: cost 7 inf + 1 9.976 * * [simplify]: Extracting #3: cost 6 inf + 2 9.976 * * [simplify]: Extracting #4: cost 1 inf + 529 9.976 * * [simplify]: Extracting #5: cost 0 inf + 650 9.976 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 9.976 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 9.977 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) 9.977 * * [simplify]: iters left: 6 (9 enodes) 9.979 * * [simplify]: iters left: 5 (31 enodes) 9.986 * * [simplify]: iters left: 4 (43 enodes) 9.995 * * [simplify]: iters left: 3 (67 enodes) 10.005 * * [simplify]: iters left: 2 (74 enodes) 10.015 * * [simplify]: iters left: 1 (88 enodes) 10.028 * * [simplify]: Extracting #0: cost 1 inf + 0 10.028 * * [simplify]: Extracting #1: cost 4 inf + 0 10.028 * * [simplify]: Extracting #2: cost 8 inf + 0 10.028 * * [simplify]: Extracting #3: cost 21 inf + 1 10.028 * * [simplify]: Extracting #4: cost 23 inf + 451 10.029 * * [simplify]: Extracting #5: cost 5 inf + 2081 10.029 * * [simplify]: Extracting #6: cost 0 inf + 2612 10.030 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) 10.030 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 10.030 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 10.030 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.031 * * [simplify]: iters left: 6 (11 enodes) 10.033 * * [simplify]: iters left: 5 (39 enodes) 10.040 * * [simplify]: iters left: 4 (55 enodes) 10.050 * * [simplify]: iters left: 3 (82 enodes) 10.078 * * [simplify]: iters left: 2 (89 enodes) 10.102 * * [simplify]: iters left: 1 (103 enodes) 10.128 * * [simplify]: Extracting #0: cost 1 inf + 0 10.129 * * [simplify]: Extracting #1: cost 7 inf + 0 10.129 * * [simplify]: Extracting #2: cost 14 inf + 0 10.129 * * [simplify]: Extracting #3: cost 15 inf + 1 10.129 * * [simplify]: Extracting #4: cost 28 inf + 82 10.129 * * [simplify]: Extracting #5: cost 29 inf + 612 10.130 * * [simplify]: Extracting #6: cost 9 inf + 2487 10.132 * * [simplify]: Extracting #7: cost 1 inf + 4628 10.133 * * [simplify]: Extracting #8: cost 0 inf + 4710 10.135 * [simplify]: Simplified to (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.135 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.135 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.135 * * [simplify]: iters left: 6 (10 enodes) 10.138 * * [simplify]: iters left: 5 (34 enodes) 10.144 * * [simplify]: iters left: 4 (46 enodes) 10.151 * * [simplify]: iters left: 3 (70 enodes) 10.162 * * [simplify]: iters left: 2 (77 enodes) 10.184 * * [simplify]: iters left: 1 (91 enodes) 10.207 * * [simplify]: Extracting #0: cost 1 inf + 0 10.207 * * [simplify]: Extracting #1: cost 4 inf + 0 10.207 * * [simplify]: Extracting #2: cost 8 inf + 0 10.207 * * [simplify]: Extracting #3: cost 9 inf + 1 10.207 * * [simplify]: Extracting #4: cost 21 inf + 163 10.207 * * [simplify]: Extracting #5: cost 26 inf + 330 10.208 * * [simplify]: Extracting #6: cost 3 inf + 2651 10.208 * * [simplify]: Extracting #7: cost 0 inf + 3096 10.209 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.209 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (cbrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.209 * * * * [progress]: [ 53 / 113 ] simplifiying candidate # 10.210 * [simplify]: Simplifying (/ (* (cbrt 4/3) (cbrt 4/3)) 1) 10.210 * * [simplify]: iters left: 5 (5 enodes) 10.212 * * [simplify]: iters left: 4 (17 enodes) 10.215 * * [simplify]: iters left: 3 (27 enodes) 10.219 * * [simplify]: iters left: 2 (28 enodes) 10.223 * * [simplify]: Extracting #0: cost 1 inf + 0 10.223 * * [simplify]: Extracting #1: cost 5 inf + 0 10.223 * * [simplify]: Extracting #2: cost 7 inf + 1 10.223 * * [simplify]: Extracting #3: cost 6 inf + 2 10.224 * * [simplify]: Extracting #4: cost 1 inf + 528 10.224 * * [simplify]: Extracting #5: cost 0 inf + 650 10.224 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 10.224 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 10.224 * [simplify]: Simplifying (/ (cbrt 4/3) (sqrt (- PI (* v (* PI v))))) 10.224 * * [simplify]: iters left: 6 (9 enodes) 10.227 * * [simplify]: iters left: 5 (31 enodes) 10.231 * * [simplify]: iters left: 4 (43 enodes) 10.238 * * [simplify]: iters left: 3 (67 enodes) 10.248 * * [simplify]: iters left: 2 (74 enodes) 10.258 * * [simplify]: iters left: 1 (88 enodes) 10.270 * * [simplify]: Extracting #0: cost 1 inf + 0 10.270 * * [simplify]: Extracting #1: cost 4 inf + 0 10.270 * * [simplify]: Extracting #2: cost 8 inf + 0 10.270 * * [simplify]: Extracting #3: cost 21 inf + 1 10.270 * * [simplify]: Extracting #4: cost 23 inf + 451 10.271 * * [simplify]: Extracting #5: cost 5 inf + 2081 10.271 * * [simplify]: Extracting #6: cost 0 inf + 2612 10.272 * [simplify]: Simplified to (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) 10.272 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 10.272 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 10.272 * [simplify]: Simplifying (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) 10.272 * * [simplify]: iters left: 6 (11 enodes) 10.277 * * [simplify]: iters left: 5 (39 enodes) 10.284 * * [simplify]: iters left: 4 (53 enodes) 10.295 * * [simplify]: iters left: 3 (77 enodes) 10.318 * * [simplify]: iters left: 2 (84 enodes) 10.334 * * [simplify]: iters left: 1 (98 enodes) 10.347 * * [simplify]: Extracting #0: cost 1 inf + 0 10.347 * * [simplify]: Extracting #1: cost 6 inf + 0 10.347 * * [simplify]: Extracting #2: cost 12 inf + 0 10.348 * * [simplify]: Extracting #3: cost 13 inf + 1 10.348 * * [simplify]: Extracting #4: cost 26 inf + 42 10.348 * * [simplify]: Extracting #5: cost 25 inf + 617 10.348 * * [simplify]: Extracting #6: cost 9 inf + 2565 10.349 * * [simplify]: Extracting #7: cost 1 inf + 4304 10.350 * * [simplify]: Extracting #8: cost 0 inf + 4386 10.351 * [simplify]: Simplified to (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) 10.351 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (sqrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.352 * [simplify]: Simplifying (/ (sqrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) 10.352 * * [simplify]: iters left: 6 (10 enodes) 10.355 * * [simplify]: iters left: 5 (34 enodes) 10.364 * * [simplify]: iters left: 4 (46 enodes) 10.374 * * [simplify]: iters left: 3 (70 enodes) 10.384 * * [simplify]: iters left: 2 (77 enodes) 10.397 * * [simplify]: iters left: 1 (91 enodes) 10.421 * * [simplify]: Extracting #0: cost 1 inf + 0 10.421 * * [simplify]: Extracting #1: cost 4 inf + 0 10.421 * * [simplify]: Extracting #2: cost 8 inf + 0 10.422 * * [simplify]: Extracting #3: cost 9 inf + 1 10.422 * * [simplify]: Extracting #4: cost 21 inf + 83 10.422 * * [simplify]: Extracting #5: cost 26 inf + 250 10.423 * * [simplify]: Extracting #6: cost 3 inf + 2651 10.424 * * [simplify]: Extracting #7: cost 0 inf + 3096 10.426 * [simplify]: Simplified to (/ (sqrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))) 10.426 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ (sqrt 4/3) (cbrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.426 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 10.426 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) 10.427 * * [simplify]: iters left: 6 (11 enodes) 10.432 * * [simplify]: iters left: 5 (38 enodes) 10.445 * * [simplify]: iters left: 4 (50 enodes) 10.462 * * [simplify]: iters left: 3 (74 enodes) 10.484 * * [simplify]: iters left: 2 (81 enodes) 10.498 * * [simplify]: iters left: 1 (95 enodes) 10.511 * * [simplify]: Extracting #0: cost 1 inf + 0 10.511 * * [simplify]: Extracting #1: cost 4 inf + 0 10.511 * * [simplify]: Extracting #2: cost 9 inf + 0 10.511 * * [simplify]: Extracting #3: cost 11 inf + 1 10.511 * * [simplify]: Extracting #4: cost 23 inf + 83 10.511 * * [simplify]: Extracting #5: cost 27 inf + 332 10.512 * * [simplify]: Extracting #6: cost 6 inf + 2568 10.512 * * [simplify]: Extracting #7: cost 0 inf + 3660 10.513 * [simplify]: Simplified to (/ (sqrt 4/3) (fabs (cbrt (- PI (* v (* PI v)))))) 10.513 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (fabs (cbrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.513 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) 10.513 * * [simplify]: iters left: 6 (10 enodes) 10.518 * * [simplify]: iters left: 5 (34 enodes) 10.529 * * [simplify]: iters left: 4 (46 enodes) 10.544 * * [simplify]: iters left: 3 (70 enodes) 10.554 * * [simplify]: iters left: 2 (77 enodes) 10.565 * * [simplify]: iters left: 1 (91 enodes) 10.584 * * [simplify]: Extracting #0: cost 1 inf + 0 10.584 * * [simplify]: Extracting #1: cost 4 inf + 0 10.584 * * [simplify]: Extracting #2: cost 8 inf + 0 10.584 * * [simplify]: Extracting #3: cost 9 inf + 1 10.584 * * [simplify]: Extracting #4: cost 21 inf + 83 10.584 * * [simplify]: Extracting #5: cost 26 inf + 250 10.585 * * [simplify]: Extracting #6: cost 3 inf + 2731 10.586 * * [simplify]: Extracting #7: cost 0 inf + 3176 10.587 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))) 10.587 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (fabs (cbrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.587 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 10.587 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.587 * * [simplify]: iters left: 6 (10 enodes) 10.590 * * [simplify]: iters left: 5 (34 enodes) 10.597 * * [simplify]: iters left: 4 (46 enodes) 10.604 * * [simplify]: iters left: 3 (70 enodes) 10.614 * * [simplify]: iters left: 2 (77 enodes) 10.631 * * [simplify]: iters left: 1 (91 enodes) 10.655 * * [simplify]: Extracting #0: cost 1 inf + 0 10.655 * * [simplify]: Extracting #1: cost 4 inf + 0 10.655 * * [simplify]: Extracting #2: cost 8 inf + 0 10.655 * * [simplify]: Extracting #3: cost 9 inf + 1 10.655 * * [simplify]: Extracting #4: cost 21 inf + 83 10.655 * * [simplify]: Extracting #5: cost 26 inf + 250 10.656 * * [simplify]: Extracting #6: cost 3 inf + 2531 10.658 * * [simplify]: Extracting #7: cost 0 inf + 2936 10.659 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.659 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.659 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.660 * * [simplify]: iters left: 6 (10 enodes) 10.665 * * [simplify]: iters left: 5 (34 enodes) 10.676 * * [simplify]: iters left: 4 (46 enodes) 10.692 * * [simplify]: iters left: 3 (70 enodes) 10.715 * * [simplify]: iters left: 2 (77 enodes) 10.736 * * [simplify]: iters left: 1 (91 enodes) 10.760 * * [simplify]: Extracting #0: cost 1 inf + 0 10.760 * * [simplify]: Extracting #1: cost 4 inf + 0 10.760 * * [simplify]: Extracting #2: cost 8 inf + 0 10.760 * * [simplify]: Extracting #3: cost 9 inf + 1 10.760 * * [simplify]: Extracting #4: cost 21 inf + 83 10.760 * * [simplify]: Extracting #5: cost 26 inf + 250 10.761 * * [simplify]: Extracting #6: cost 3 inf + 2531 10.762 * * [simplify]: Extracting #7: cost 0 inf + 2936 10.764 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.764 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.764 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 10.765 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt 1)) 10.765 * * [simplify]: iters left: 3 (5 enodes) 10.770 * * [simplify]: iters left: 2 (17 enodes) 10.776 * * [simplify]: iters left: 1 (19 enodes) 10.781 * * [simplify]: Extracting #0: cost 1 inf + 0 10.782 * * [simplify]: Extracting #1: cost 4 inf + 0 10.782 * * [simplify]: Extracting #2: cost 2 inf + 2 10.782 * * [simplify]: Extracting #3: cost 0 inf + 84 10.782 * [simplify]: Simplified to (sqrt 4/3) 10.782 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 10.782 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) 10.782 * * [simplify]: iters left: 6 (9 enodes) 10.787 * * [simplify]: iters left: 5 (31 enodes) 10.798 * * [simplify]: iters left: 4 (43 enodes) 10.812 * * [simplify]: iters left: 3 (67 enodes) 10.832 * * [simplify]: iters left: 2 (74 enodes) 10.849 * * [simplify]: iters left: 1 (88 enodes) 10.863 * * [simplify]: Extracting #0: cost 1 inf + 0 10.863 * * [simplify]: Extracting #1: cost 4 inf + 0 10.863 * * [simplify]: Extracting #2: cost 8 inf + 0 10.863 * * [simplify]: Extracting #3: cost 21 inf + 1 10.863 * * [simplify]: Extracting #4: cost 23 inf + 371 10.863 * * [simplify]: Extracting #5: cost 5 inf + 1961 10.864 * * [simplify]: Extracting #6: cost 0 inf + 2452 10.865 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 10.865 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 10.865 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 10.865 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.865 * * [simplify]: iters left: 6 (10 enodes) 10.868 * * [simplify]: iters left: 5 (34 enodes) 10.873 * * [simplify]: iters left: 4 (46 enodes) 10.882 * * [simplify]: iters left: 3 (70 enodes) 10.904 * * [simplify]: iters left: 2 (77 enodes) 10.915 * * [simplify]: iters left: 1 (91 enodes) 10.927 * * [simplify]: Extracting #0: cost 1 inf + 0 10.927 * * [simplify]: Extracting #1: cost 4 inf + 0 10.927 * * [simplify]: Extracting #2: cost 8 inf + 0 10.927 * * [simplify]: Extracting #3: cost 9 inf + 1 10.928 * * [simplify]: Extracting #4: cost 21 inf + 83 10.928 * * [simplify]: Extracting #5: cost 26 inf + 250 10.928 * * [simplify]: Extracting #6: cost 3 inf + 2531 10.929 * * [simplify]: Extracting #7: cost 0 inf + 2936 10.930 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.930 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.930 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.930 * * [simplify]: iters left: 6 (10 enodes) 10.933 * * [simplify]: iters left: 5 (34 enodes) 10.939 * * [simplify]: iters left: 4 (46 enodes) 10.949 * * [simplify]: iters left: 3 (70 enodes) 10.958 * * [simplify]: iters left: 2 (77 enodes) 10.968 * * [simplify]: iters left: 1 (91 enodes) 10.986 * * [simplify]: Extracting #0: cost 1 inf + 0 10.986 * * [simplify]: Extracting #1: cost 4 inf + 0 10.986 * * [simplify]: Extracting #2: cost 8 inf + 0 10.986 * * [simplify]: Extracting #3: cost 9 inf + 1 10.986 * * [simplify]: Extracting #4: cost 21 inf + 83 10.986 * * [simplify]: Extracting #5: cost 26 inf + 250 10.987 * * [simplify]: Extracting #6: cost 3 inf + 2531 10.988 * * [simplify]: Extracting #7: cost 0 inf + 2936 10.990 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) 10.990 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))) (/ (sqrt 4/3) (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 10.990 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 10.990 * [simplify]: Simplifying (/ (sqrt 4/3) 1) 10.990 * * [simplify]: iters left: 3 (4 enodes) 10.992 * * [simplify]: iters left: 2 (12 enodes) 10.994 * * [simplify]: iters left: 1 (14 enodes) 10.997 * * [simplify]: Extracting #0: cost 1 inf + 0 10.997 * * [simplify]: Extracting #1: cost 4 inf + 0 10.997 * * [simplify]: Extracting #2: cost 0 inf + 84 10.997 * [simplify]: Simplified to (sqrt 4/3) 10.997 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 10.997 * [simplify]: Simplifying (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) 10.997 * * [simplify]: iters left: 6 (9 enodes) 11.000 * * [simplify]: iters left: 5 (31 enodes) 11.005 * * [simplify]: iters left: 4 (43 enodes) 11.012 * * [simplify]: iters left: 3 (67 enodes) 11.026 * * [simplify]: iters left: 2 (74 enodes) 11.049 * * [simplify]: iters left: 1 (88 enodes) 11.072 * * [simplify]: Extracting #0: cost 1 inf + 0 11.072 * * [simplify]: Extracting #1: cost 4 inf + 0 11.072 * * [simplify]: Extracting #2: cost 8 inf + 0 11.072 * * [simplify]: Extracting #3: cost 21 inf + 1 11.073 * * [simplify]: Extracting #4: cost 23 inf + 371 11.073 * * [simplify]: Extracting #5: cost 5 inf + 1961 11.075 * * [simplify]: Extracting #6: cost 0 inf + 2452 11.077 * [simplify]: Simplified to (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))) 11.077 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (sqrt 4/3) (/ (sqrt 4/3) (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 11.077 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 11.077 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) 11.077 * * [simplify]: iters left: 6 (10 enodes) 11.083 * * [simplify]: iters left: 5 (38 enodes) 11.094 * * [simplify]: iters left: 4 (54 enodes) 11.107 * * [simplify]: iters left: 3 (78 enodes) 11.119 * * [simplify]: iters left: 2 (84 enodes) 11.130 * * [simplify]: iters left: 1 (94 enodes) 11.149 * * [simplify]: Extracting #0: cost 1 inf + 0 11.149 * * [simplify]: Extracting #1: cost 6 inf + 0 11.149 * * [simplify]: Extracting #2: cost 9 inf + 1 11.149 * * [simplify]: Extracting #3: cost 11 inf + 1 11.149 * * [simplify]: Extracting #4: cost 25 inf + 1 11.149 * * [simplify]: Extracting #5: cost 27 inf + 371 11.150 * * [simplify]: Extracting #6: cost 4 inf + 3139 11.151 * * [simplify]: Extracting #7: cost 1 inf + 3860 11.152 * * [simplify]: Extracting #8: cost 0 inf + 4143 11.152 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (* PI (- 1 (* v v))))) (cbrt (sqrt (* PI (- 1 (* v v))))))) 11.152 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (* (cbrt (sqrt (* PI (- 1 (* v v))))) (cbrt (sqrt (* PI (- 1 (* v v))))))) (/ 4/3 (cbrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 11.153 * [simplify]: Simplifying (/ 4/3 (cbrt (sqrt (- PI (* v (* PI v)))))) 11.153 * * [simplify]: iters left: 6 (9 enodes) 11.155 * * [simplify]: iters left: 5 (31 enodes) 11.160 * * [simplify]: iters left: 4 (43 enodes) 11.167 * * [simplify]: iters left: 3 (67 enodes) 11.183 * * [simplify]: iters left: 2 (74 enodes) 11.203 * * [simplify]: iters left: 1 (88 enodes) 11.226 * * [simplify]: Extracting #0: cost 1 inf + 0 11.226 * * [simplify]: Extracting #1: cost 4 inf + 0 11.226 * * [simplify]: Extracting #2: cost 5 inf + 1 11.226 * * [simplify]: Extracting #3: cost 7 inf + 1 11.226 * * [simplify]: Extracting #4: cost 21 inf + 1 11.227 * * [simplify]: Extracting #5: cost 22 inf + 549 11.228 * * [simplify]: Extracting #6: cost 5 inf + 2479 11.229 * * [simplify]: Extracting #7: cost 0 inf + 2949 11.230 * * [simplify]: Extracting #8: cost 0 inf + 2934 11.232 * [simplify]: Simplified to (/ 4/3 (cbrt (sqrt (- PI (* v (* v PI)))))) 11.232 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (/ 4/3 (cbrt (sqrt (- PI (* v (* v PI)))))))) (sqrt (fma (* v -6) v 2)))) 11.232 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 11.233 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) 11.233 * * [simplify]: iters left: 6 (10 enodes) 11.238 * * [simplify]: iters left: 5 (37 enodes) 11.250 * * [simplify]: iters left: 4 (51 enodes) 11.266 * * [simplify]: iters left: 3 (75 enodes) 11.291 * * [simplify]: iters left: 2 (81 enodes) 11.303 * * [simplify]: iters left: 1 (91 enodes) 11.314 * * [simplify]: Extracting #0: cost 1 inf + 0 11.314 * * [simplify]: Extracting #1: cost 4 inf + 0 11.314 * * [simplify]: Extracting #2: cost 6 inf + 1 11.314 * * [simplify]: Extracting #3: cost 9 inf + 1 11.315 * * [simplify]: Extracting #4: cost 23 inf + 1 11.315 * * [simplify]: Extracting #5: cost 25 inf + 402 11.315 * * [simplify]: Extracting #6: cost 5 inf + 2838 11.316 * * [simplify]: Extracting #7: cost 0 inf + 3528 11.317 * * [simplify]: Extracting #8: cost 0 inf + 3497 11.317 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- PI (* v (* v PI)))))) 11.317 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (fabs (cbrt (- PI (* v (* v PI)))))) (/ 4/3 (sqrt (cbrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 11.318 * [simplify]: Simplifying (/ 4/3 (sqrt (cbrt (- PI (* v (* PI v)))))) 11.318 * * [simplify]: iters left: 6 (9 enodes) 11.320 * * [simplify]: iters left: 5 (31 enodes) 11.325 * * [simplify]: iters left: 4 (43 enodes) 11.337 * * [simplify]: iters left: 3 (67 enodes) 11.355 * * [simplify]: iters left: 2 (74 enodes) 11.365 * * [simplify]: iters left: 1 (88 enodes) 11.382 * * [simplify]: Extracting #0: cost 1 inf + 0 11.382 * * [simplify]: Extracting #1: cost 4 inf + 0 11.382 * * [simplify]: Extracting #2: cost 5 inf + 1 11.382 * * [simplify]: Extracting #3: cost 7 inf + 1 11.383 * * [simplify]: Extracting #4: cost 21 inf + 1 11.383 * * [simplify]: Extracting #5: cost 22 inf + 549 11.384 * * [simplify]: Extracting #6: cost 5 inf + 2559 11.385 * * [simplify]: Extracting #7: cost 0 inf + 3029 11.387 * * [simplify]: Extracting #8: cost 0 inf + 3014 11.388 * [simplify]: Simplified to (/ 4/3 (sqrt (cbrt (- PI (* v (* v PI)))))) 11.388 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (/ 4/3 (sqrt (cbrt (- PI (* v (* v PI)))))))) (sqrt (fma (* v -6) v 2)))) 11.388 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 11.389 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) 11.389 * * [simplify]: iters left: 6 (9 enodes) 11.394 * * [simplify]: iters left: 5 (33 enodes) 11.405 * * [simplify]: iters left: 4 (47 enodes) 11.419 * * [simplify]: iters left: 3 (71 enodes) 11.438 * * [simplify]: iters left: 2 (77 enodes) 11.457 * * [simplify]: iters left: 1 (87 enodes) 11.480 * * [simplify]: Extracting #0: cost 1 inf + 0 11.480 * * [simplify]: Extracting #1: cost 4 inf + 0 11.480 * * [simplify]: Extracting #2: cost 5 inf + 1 11.480 * * [simplify]: Extracting #3: cost 7 inf + 1 11.480 * * [simplify]: Extracting #4: cost 21 inf + 1 11.480 * * [simplify]: Extracting #5: cost 18 inf + 674 11.481 * * [simplify]: Extracting #6: cost 2 inf + 2579 11.483 * * [simplify]: Extracting #7: cost 0 inf + 2788 11.484 * * [simplify]: Extracting #8: cost 0 inf + 2773 11.486 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) 11.486 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 11.486 * [simplify]: Simplifying (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) 11.486 * * [simplify]: iters left: 6 (9 enodes) 11.491 * * [simplify]: iters left: 5 (31 enodes) 11.501 * * [simplify]: iters left: 4 (43 enodes) 11.518 * * [simplify]: iters left: 3 (67 enodes) 11.537 * * [simplify]: iters left: 2 (74 enodes) 11.557 * * [simplify]: iters left: 1 (88 enodes) 11.581 * * [simplify]: Extracting #0: cost 1 inf + 0 11.581 * * [simplify]: Extracting #1: cost 4 inf + 0 11.581 * * [simplify]: Extracting #2: cost 5 inf + 1 11.581 * * [simplify]: Extracting #3: cost 7 inf + 1 11.581 * * [simplify]: Extracting #4: cost 21 inf + 1 11.581 * * [simplify]: Extracting #5: cost 22 inf + 549 11.582 * * [simplify]: Extracting #6: cost 5 inf + 2359 11.584 * * [simplify]: Extracting #7: cost 0 inf + 2789 11.585 * * [simplify]: Extracting #8: cost 0 inf + 2774 11.587 * [simplify]: Simplified to (/ 4/3 (sqrt (sqrt (- PI (* v (* v PI)))))) 11.587 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* v PI)))))))) (sqrt (fma (* v -6) v 2)))) 11.587 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 11.587 * [simplify]: Simplifying (/ 1 (sqrt 1)) 11.588 * * [simplify]: iters left: 3 (3 enodes) 11.594 * * [simplify]: iters left: 2 (11 enodes) 11.597 * * [simplify]: iters left: 1 (13 enodes) 11.601 * * [simplify]: Extracting #0: cost 1 inf + 0 11.601 * * [simplify]: Extracting #1: cost 0 inf + 1 11.601 * [simplify]: Simplified to 1 11.601 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* 1 (/ 4/3 (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 11.602 * [simplify]: Simplifying (/ 4/3 (sqrt (- PI (* v (* PI v))))) 11.602 * * [simplify]: iters left: 6 (8 enodes) 11.604 * * [simplify]: iters left: 5 (28 enodes) 11.609 * * [simplify]: iters left: 4 (40 enodes) 11.615 * * [simplify]: iters left: 3 (64 enodes) 11.624 * * [simplify]: iters left: 2 (71 enodes) 11.635 * * [simplify]: iters left: 1 (85 enodes) 11.654 * * [simplify]: Extracting #0: cost 1 inf + 0 11.654 * * [simplify]: Extracting #1: cost 4 inf + 0 11.654 * * [simplify]: Extracting #2: cost 5 inf + 1 11.654 * * [simplify]: Extracting #3: cost 19 inf + 1 11.655 * * [simplify]: Extracting #4: cost 21 inf + 427 11.656 * * [simplify]: Extracting #5: cost 4 inf + 2118 11.657 * * [simplify]: Extracting #6: cost 0 inf + 2290 11.658 * [simplify]: Simplified to (/ 4/3 (sqrt (- PI (* (* v v) PI)))) 11.658 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* 1 (/ 4/3 (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 11.658 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 11.659 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) 11.659 * * [simplify]: iters left: 6 (9 enodes) 11.663 * * [simplify]: iters left: 5 (33 enodes) 11.674 * * [simplify]: iters left: 4 (47 enodes) 11.689 * * [simplify]: iters left: 3 (71 enodes) 11.710 * * [simplify]: iters left: 2 (77 enodes) 11.730 * * [simplify]: iters left: 1 (87 enodes) 11.752 * * [simplify]: Extracting #0: cost 1 inf + 0 11.753 * * [simplify]: Extracting #1: cost 4 inf + 0 11.753 * * [simplify]: Extracting #2: cost 5 inf + 1 11.753 * * [simplify]: Extracting #3: cost 7 inf + 1 11.753 * * [simplify]: Extracting #4: cost 21 inf + 1 11.753 * * [simplify]: Extracting #5: cost 18 inf + 674 11.755 * * [simplify]: Extracting #6: cost 2 inf + 2579 11.756 * * [simplify]: Extracting #7: cost 0 inf + 2788 11.758 * * [simplify]: Extracting #8: cost 0 inf + 2773 11.759 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) 11.759 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (sqrt (sqrt (- PI (* (* v v) PI))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2)))) 11.759 * [simplify]: Simplifying (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) 11.760 * * [simplify]: iters left: 6 (9 enodes) 11.764 * * [simplify]: iters left: 5 (31 enodes) 11.776 * * [simplify]: iters left: 4 (43 enodes) 11.791 * * [simplify]: iters left: 3 (67 enodes) 11.802 * * [simplify]: iters left: 2 (74 enodes) 11.811 * * [simplify]: iters left: 1 (88 enodes) 11.822 * * [simplify]: Extracting #0: cost 1 inf + 0 11.822 * * [simplify]: Extracting #1: cost 4 inf + 0 11.822 * * [simplify]: Extracting #2: cost 5 inf + 1 11.822 * * [simplify]: Extracting #3: cost 7 inf + 1 11.823 * * [simplify]: Extracting #4: cost 21 inf + 1 11.823 * * [simplify]: Extracting #5: cost 22 inf + 549 11.823 * * [simplify]: Extracting #6: cost 5 inf + 2359 11.824 * * [simplify]: Extracting #7: cost 0 inf + 2789 11.825 * * [simplify]: Extracting #8: cost 0 inf + 2774 11.825 * [simplify]: Simplified to (/ 4/3 (sqrt (sqrt (- PI (* v (* v PI)))))) 11.825 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 1 (sqrt (sqrt (- PI (* v (* PI v)))))) (/ 4/3 (sqrt (sqrt (- PI (* v (* v PI)))))))) (sqrt (fma (* v -6) v 2)))) 11.825 * * * * [progress]: [ 65 / 113 ] simplifiying candidate # 11.826 * [simplify]: Simplifying (/ 1 1) 11.826 * * [simplify]: iters left: 2 (2 enodes) 11.827 * * [simplify]: iters left: 1 (6 enodes) 11.828 * * [simplify]: Extracting #0: cost 1 inf + 0 11.828 * * [simplify]: Extracting #1: cost 0 inf + 1 11.828 * [simplify]: Simplified to 1 11.828 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* 1 (/ 4/3 (sqrt (- PI (* v (* PI v))))))) (sqrt (fma (* v -6) v 2)))) 11.828 * [simplify]: Simplifying (/ 4/3 (sqrt (- PI (* v (* PI v))))) 11.828 * * [simplify]: iters left: 6 (8 enodes) 11.830 * * [simplify]: iters left: 5 (28 enodes) 11.835 * * [simplify]: iters left: 4 (40 enodes) 11.841 * * [simplify]: iters left: 3 (64 enodes) 11.851 * * [simplify]: iters left: 2 (71 enodes) 11.862 * * [simplify]: iters left: 1 (85 enodes) 11.873 * * [simplify]: Extracting #0: cost 1 inf + 0 11.873 * * [simplify]: Extracting #1: cost 4 inf + 0 11.873 * * [simplify]: Extracting #2: cost 5 inf + 1 11.873 * * [simplify]: Extracting #3: cost 19 inf + 1 11.874 * * [simplify]: Extracting #4: cost 21 inf + 427 11.874 * * [simplify]: Extracting #5: cost 4 inf + 2118 11.875 * * [simplify]: Extracting #6: cost 0 inf + 2290 11.875 * [simplify]: Simplified to (/ 4/3 (sqrt (- PI (* (* v v) PI)))) 11.875 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* 1 (/ 4/3 (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 11.875 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 11.875 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 11.875 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 11.876 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 11.876 * [simplify]: Simplifying (cbrt (sqrt (- PI (* v (* PI v))))) 11.876 * * [simplify]: iters left: 6 (7 enodes) 11.877 * * [simplify]: iters left: 5 (25 enodes) 11.881 * * [simplify]: iters left: 4 (37 enodes) 11.887 * * [simplify]: iters left: 3 (61 enodes) 11.901 * * [simplify]: iters left: 2 (68 enodes) 11.909 * * [simplify]: iters left: 1 (82 enodes) 11.919 * * [simplify]: Extracting #0: cost 1 inf + 0 11.920 * * [simplify]: Extracting #1: cost 3 inf + 0 11.920 * * [simplify]: Extracting #2: cost 5 inf + 0 11.920 * * [simplify]: Extracting #3: cost 19 inf + 0 11.920 * * [simplify]: Extracting #4: cost 27 inf + 2 11.920 * * [simplify]: Extracting #5: cost 7 inf + 1354 11.921 * * [simplify]: Extracting #6: cost 0 inf + 2367 11.921 * [simplify]: Simplified to (cbrt (sqrt (- PI (* (* v v) PI)))) 11.921 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 (* (cbrt (sqrt (- PI (* v (* PI v))))) (cbrt (sqrt (- PI (* v (* PI v))))))) (cbrt (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 11.921 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 11.922 * [simplify]: Simplifying (sqrt (cbrt (- PI (* v (* PI v))))) 11.922 * * [simplify]: iters left: 6 (7 enodes) 11.923 * * [simplify]: iters left: 5 (25 enodes) 11.927 * * [simplify]: iters left: 4 (37 enodes) 11.934 * * [simplify]: iters left: 3 (61 enodes) 11.951 * * [simplify]: iters left: 2 (68 enodes) 11.967 * * [simplify]: iters left: 1 (82 enodes) 11.978 * * [simplify]: Extracting #0: cost 1 inf + 0 11.978 * * [simplify]: Extracting #1: cost 3 inf + 0 11.978 * * [simplify]: Extracting #2: cost 5 inf + 0 11.978 * * [simplify]: Extracting #3: cost 19 inf + 0 11.978 * * [simplify]: Extracting #4: cost 27 inf + 2 11.978 * * [simplify]: Extracting #5: cost 7 inf + 1394 11.979 * * [simplify]: Extracting #6: cost 0 inf + 2447 11.979 * [simplify]: Simplified to (sqrt (cbrt (- PI (* (* v v) PI)))) 11.980 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 (sqrt (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v))))))) (sqrt (cbrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 11.980 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 11.980 * [simplify]: Simplifying (sqrt (sqrt (- PI (* v (* PI v))))) 11.980 * * [simplify]: iters left: 6 (7 enodes) 11.982 * * [simplify]: iters left: 5 (25 enodes) 11.985 * * [simplify]: iters left: 4 (37 enodes) 11.991 * * [simplify]: iters left: 3 (61 enodes) 11.999 * * [simplify]: iters left: 2 (68 enodes) 12.007 * * [simplify]: iters left: 1 (82 enodes) 12.017 * * [simplify]: Extracting #0: cost 1 inf + 0 12.017 * * [simplify]: Extracting #1: cost 3 inf + 0 12.017 * * [simplify]: Extracting #2: cost 5 inf + 0 12.018 * * [simplify]: Extracting #3: cost 19 inf + 0 12.019 * * [simplify]: Extracting #4: cost 27 inf + 2 12.020 * * [simplify]: Extracting #5: cost 7 inf + 1354 12.020 * * [simplify]: Extracting #6: cost 0 inf + 2287 12.021 * [simplify]: Simplified to (sqrt (sqrt (- PI (* (* v v) PI)))) 12.021 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (sqrt (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 12.021 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 12.021 * [simplify]: Simplifying (sqrt (- PI (* v (* PI v)))) 12.021 * * [simplify]: iters left: 6 (6 enodes) 12.023 * * [simplify]: iters left: 5 (22 enodes) 12.026 * * [simplify]: iters left: 4 (34 enodes) 12.037 * * [simplify]: iters left: 3 (58 enodes) 12.054 * * [simplify]: iters left: 2 (65 enodes) 12.062 * * [simplify]: iters left: 1 (79 enodes) 12.073 * * [simplify]: Extracting #0: cost 1 inf + 0 12.073 * * [simplify]: Extracting #1: cost 3 inf + 0 12.073 * * [simplify]: Extracting #2: cost 17 inf + 0 12.073 * * [simplify]: Extracting #3: cost 23 inf + 84 12.073 * * [simplify]: Extracting #4: cost 9 inf + 1146 12.074 * * [simplify]: Extracting #5: cost 0 inf + 1883 12.074 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 12.074 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 (sqrt 1)) (sqrt (- PI (* PI (* v v)))))) (sqrt (fma (* v -6) v 2)))) 12.075 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 12.075 * [simplify]: Simplifying (sqrt (sqrt (- PI (* v (* PI v))))) 12.075 * * [simplify]: iters left: 6 (7 enodes) 12.076 * * [simplify]: iters left: 5 (25 enodes) 12.080 * * [simplify]: iters left: 4 (37 enodes) 12.085 * * [simplify]: iters left: 3 (61 enodes) 12.097 * * [simplify]: iters left: 2 (68 enodes) 12.115 * * [simplify]: iters left: 1 (82 enodes) 12.137 * * [simplify]: Extracting #0: cost 1 inf + 0 12.137 * * [simplify]: Extracting #1: cost 3 inf + 0 12.137 * * [simplify]: Extracting #2: cost 5 inf + 0 12.137 * * [simplify]: Extracting #3: cost 19 inf + 0 12.137 * * [simplify]: Extracting #4: cost 27 inf + 2 12.137 * * [simplify]: Extracting #5: cost 7 inf + 1354 12.138 * * [simplify]: Extracting #6: cost 0 inf + 2287 12.138 * [simplify]: Simplified to (sqrt (sqrt (- PI (* (* v v) PI)))) 12.138 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 (sqrt (sqrt (- PI (* v (* PI v)))))) (sqrt (sqrt (- PI (* (* v v) PI)))))) (sqrt (fma (* v -6) v 2)))) 12.139 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 12.139 * [simplify]: Simplifying (sqrt (- PI (* v (* PI v)))) 12.139 * * [simplify]: iters left: 6 (6 enodes) 12.140 * * [simplify]: iters left: 5 (22 enodes) 12.143 * * [simplify]: iters left: 4 (34 enodes) 12.148 * * [simplify]: iters left: 3 (58 enodes) 12.156 * * [simplify]: iters left: 2 (65 enodes) 12.171 * * [simplify]: iters left: 1 (79 enodes) 12.185 * * [simplify]: Extracting #0: cost 1 inf + 0 12.185 * * [simplify]: Extracting #1: cost 3 inf + 0 12.185 * * [simplify]: Extracting #2: cost 17 inf + 0 12.185 * * [simplify]: Extracting #3: cost 23 inf + 84 12.185 * * [simplify]: Extracting #4: cost 9 inf + 1146 12.186 * * [simplify]: Extracting #5: cost 0 inf + 1883 12.187 * [simplify]: Simplified to (sqrt (- PI (* PI (* v v)))) 12.187 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (/ 4/3 1) (sqrt (- PI (* PI (* v v)))))) (sqrt (fma (* v -6) v 2)))) 12.187 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 12.187 * [simplify]: Simplifying (* (cbrt 4/3) (cbrt 4/3)) 12.187 * * [simplify]: iters left: 3 (3 enodes) 12.188 * * [simplify]: iters left: 2 (9 enodes) 12.190 * * [simplify]: Extracting #0: cost 1 inf + 0 12.190 * * [simplify]: Extracting #1: cost 3 inf + 0 12.190 * * [simplify]: Extracting #2: cost 5 inf + 0 12.190 * * [simplify]: Extracting #3: cost 4 inf + 1 12.190 * * [simplify]: Extracting #4: cost 0 inf + 405 12.190 * [simplify]: Simplified to (* (cbrt 4/3) (cbrt 4/3)) 12.190 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (* (cbrt 4/3) (cbrt 4/3)) (/ (sqrt (- PI (* v (* PI v)))) (cbrt 4/3)))) (sqrt (fma (* v -6) v 2)))) 12.190 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 12.191 * [simplify]: Simplifying (sqrt 4/3) 12.191 * * [simplify]: iters left: 1 (2 enodes) 12.192 * * [simplify]: Extracting #0: cost 1 inf + 0 12.192 * * [simplify]: Extracting #1: cost 3 inf + 0 12.192 * * [simplify]: Extracting #2: cost 2 inf + 1 12.192 * * [simplify]: Extracting #3: cost 0 inf + 83 12.192 * [simplify]: Simplified to (sqrt 4/3) 12.192 * [simplify]: Simplified (2 1 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ (sqrt 4/3) (/ (sqrt (- PI (* v (* PI v)))) (sqrt 4/3)))) (sqrt (fma (* v -6) v 2)))) 12.192 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 12.192 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 12.192 * [simplify]: Simplifying (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))) 12.192 * * [simplify]: iters left: 6 (10 enodes) 12.195 * * [simplify]: iters left: 5 (48 enodes) 12.204 * * [simplify]: iters left: 4 (115 enodes) 12.272 * * [simplify]: iters left: 3 (286 enodes) 12.396 * * [simplify]: iters left: 2 (475 enodes) 12.685 * * [simplify]: Extracting #0: cost 1 inf + 0 12.685 * * [simplify]: Extracting #1: cost 3 inf + 0 12.686 * * [simplify]: Extracting #2: cost 42 inf + 0 12.687 * * [simplify]: Extracting #3: cost 98 inf + 165 12.691 * * [simplify]: Extracting #4: cost 65 inf + 3840 12.700 * * [simplify]: Extracting #5: cost 2 inf + 11909 12.705 * * [simplify]: Extracting #6: cost 0 inf + 12263 12.710 * [simplify]: Simplified to (sqrt (fma (fma (* v v) (* v v) (* v v)) (* PI PI) (* PI PI))) 12.710 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 4/3 (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (* PI PI) (* PI PI))))) (sqrt (fma (* v -6) v 2)))) 12.710 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 12.710 * [simplify]: Simplifying (sqrt (+ PI (* v (* PI v)))) 12.710 * * [simplify]: iters left: 6 (6 enodes) 12.711 * * [simplify]: iters left: 5 (21 enodes) 12.714 * * [simplify]: iters left: 4 (26 enodes) 12.717 * * [simplify]: iters left: 3 (31 enodes) 12.722 * * [simplify]: iters left: 2 (42 enodes) 12.734 * * [simplify]: iters left: 1 (50 enodes) 12.750 * * [simplify]: Extracting #0: cost 1 inf + 0 12.750 * * [simplify]: Extracting #1: cost 3 inf + 0 12.750 * * [simplify]: Extracting #2: cost 11 inf + 0 12.750 * * [simplify]: Extracting #3: cost 10 inf + 101 12.750 * * [simplify]: Extracting #4: cost 2 inf + 696 12.751 * * [simplify]: Extracting #5: cost 0 inf + 915 12.751 * [simplify]: Simplified to (sqrt (fma PI (* v v) PI)) 12.751 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (/ 4/3 (sqrt (- (* PI PI) (* (* v (* PI v)) (* v (* PI v)))))) (sqrt (fma PI (* v v) PI)))) (sqrt (fma (* v -6) v 2)))) 12.752 * * * * [progress]: [ 80 / 113 ] simplifiying candidate #real (real->posit16 (/ 4/3 (sqrt (- PI (* v (* PI v)))))))) (sqrt (fma (* v -6) v 2))))> 12.752 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 12.752 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 12.752 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 12.752 * [simplify]: Simplifying (* PI v) 12.752 * * [simplify]: iters left: 2 (3 enodes) 12.754 * * [simplify]: iters left: 1 (10 enodes) 12.756 * * [simplify]: Extracting #0: cost 1 inf + 0 12.756 * * [simplify]: Extracting #1: cost 4 inf + 0 12.756 * * [simplify]: Extracting #2: cost 2 inf + 2 12.756 * * [simplify]: Extracting #3: cost 0 inf + 86 12.756 * [simplify]: Simplified to (* PI v) 12.757 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (pow (* PI v) 1)))))) (sqrt (fma (* v -6) v 2)))) 12.757 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 12.757 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 12.757 * [simplify]: Simplifying (+ (log PI) (log v)) 12.757 * * [simplify]: iters left: 3 (5 enodes) 12.759 * * [simplify]: iters left: 2 (16 enodes) 12.763 * * [simplify]: Extracting #0: cost 1 inf + 0 12.763 * * [simplify]: Extracting #1: cost 4 inf + 0 12.763 * * [simplify]: Extracting #2: cost 8 inf + 0 12.764 * * [simplify]: Extracting #3: cost 4 inf + 144 12.764 * * [simplify]: Extracting #4: cost 0 inf + 650 12.764 * [simplify]: Simplified to (+ (log PI) (log v)) 12.764 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (exp (+ (log PI) (log v)))))))) (sqrt (fma (* v -6) v 2)))) 12.764 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 12.764 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 12.764 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 12.765 * [simplify]: Simplifying (* (* (* PI PI) PI) (* (* v v) v)) 12.765 * * [simplify]: iters left: 6 (7 enodes) 12.768 * * [simplify]: iters left: 5 (28 enodes) 12.778 * * [simplify]: iters left: 4 (57 enodes) 12.801 * * [simplify]: iters left: 3 (114 enodes) 12.849 * * [simplify]: iters left: 2 (187 enodes) 12.923 * * [simplify]: iters left: 1 (343 enodes) 13.046 * * [simplify]: Extracting #0: cost 1 inf + 0 13.046 * * [simplify]: Extracting #1: cost 49 inf + 0 13.047 * * [simplify]: Extracting #2: cost 141 inf + 166 13.048 * * [simplify]: Extracting #3: cost 128 inf + 2134 13.050 * * [simplify]: Extracting #4: cost 93 inf + 14588 13.054 * * [simplify]: Extracting #5: cost 22 inf + 44428 13.059 * * [simplify]: Extracting #6: cost 0 inf + 55011 13.064 * [simplify]: Simplified to (* (* (* v PI) (* v PI)) (* v PI)) 13.064 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (cbrt (* (* (* v PI) (* v PI)) (* v PI)))))))) (sqrt (fma (* v -6) v 2)))) 13.064 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 13.064 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 13.064 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 13.064 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 13.064 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 13.064 * [simplify]: Simplifying (* (sqrt PI) (sqrt v)) 13.064 * * [simplify]: iters left: 3 (5 enodes) 13.065 * * [simplify]: iters left: 2 (16 enodes) 13.067 * * [simplify]: Extracting #0: cost 1 inf + 0 13.067 * * [simplify]: Extracting #1: cost 4 inf + 0 13.067 * * [simplify]: Extracting #2: cost 8 inf + 0 13.067 * * [simplify]: Extracting #3: cost 4 inf + 84 13.068 * * [simplify]: Extracting #4: cost 0 inf + 410 13.068 * [simplify]: Simplified to (* (sqrt v) (sqrt PI)) 13.068 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (* (sqrt v) (sqrt PI)) (* (sqrt PI) (sqrt v)))))))) (sqrt (fma (* v -6) v 2)))) 13.068 * [simplify]: Simplifying (* (sqrt PI) (sqrt v)) 13.068 * * [simplify]: iters left: 3 (5 enodes) 13.069 * * [simplify]: iters left: 2 (16 enodes) 13.071 * * [simplify]: Extracting #0: cost 1 inf + 0 13.071 * * [simplify]: Extracting #1: cost 4 inf + 0 13.071 * * [simplify]: Extracting #2: cost 8 inf + 0 13.071 * * [simplify]: Extracting #3: cost 4 inf + 84 13.071 * * [simplify]: Extracting #4: cost 0 inf + 410 13.071 * [simplify]: Simplified to (* (sqrt v) (sqrt PI)) 13.071 * [simplify]: Simplified (2 1 2 2 1 2 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (* (sqrt PI) (sqrt v)) (* (sqrt v) (sqrt PI)))))))) (sqrt (fma (* v -6) v 2)))) 13.071 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 13.071 * [simplify]: Simplifying (cbrt v) 13.071 * * [simplify]: iters left: 1 (2 enodes) 13.072 * * [simplify]: Extracting #0: cost 1 inf + 0 13.072 * * [simplify]: Extracting #1: cost 3 inf + 0 13.072 * * [simplify]: Extracting #2: cost 2 inf + 1 13.072 * * [simplify]: Extracting #3: cost 0 inf + 163 13.072 * [simplify]: Simplified to (cbrt v) 13.072 * [simplify]: Simplified (2 1 2 2 1 2 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (* PI (* (cbrt v) (cbrt v))) (cbrt v))))))) (sqrt (fma (* v -6) v 2)))) 13.072 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 13.072 * [simplify]: Simplifying (sqrt v) 13.072 * * [simplify]: iters left: 1 (2 enodes) 13.073 * * [simplify]: Extracting #0: cost 1 inf + 0 13.073 * * [simplify]: Extracting #1: cost 3 inf + 0 13.073 * * [simplify]: Extracting #2: cost 2 inf + 1 13.073 * * [simplify]: Extracting #3: cost 0 inf + 83 13.073 * [simplify]: Simplified to (sqrt v) 13.073 * [simplify]: Simplified (2 1 2 2 1 2 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (* PI (sqrt v)) (sqrt v))))))) (sqrt (fma (* v -6) v 2)))) 13.073 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 13.073 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 13.073 * [simplify]: Simplifying (* (cbrt PI) (cbrt PI)) 13.073 * * [simplify]: iters left: 3 (3 enodes) 13.074 * * [simplify]: iters left: 2 (9 enodes) 13.076 * * [simplify]: Extracting #0: cost 1 inf + 0 13.076 * * [simplify]: Extracting #1: cost 3 inf + 0 13.076 * * [simplify]: Extracting #2: cost 5 inf + 0 13.076 * * [simplify]: Extracting #3: cost 4 inf + 1 13.076 * * [simplify]: Extracting #4: cost 0 inf + 405 13.077 * [simplify]: Simplified to (* (cbrt PI) (cbrt PI)) 13.077 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) v))))))) (sqrt (fma (* v -6) v 2)))) 13.077 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 13.077 * [simplify]: Simplifying (sqrt PI) 13.077 * * [simplify]: iters left: 1 (2 enodes) 13.078 * * [simplify]: Extracting #0: cost 1 inf + 0 13.078 * * [simplify]: Extracting #1: cost 3 inf + 0 13.078 * * [simplify]: Extracting #2: cost 2 inf + 1 13.078 * * [simplify]: Extracting #3: cost 0 inf + 83 13.078 * [simplify]: Simplified to (sqrt PI) 13.078 * [simplify]: Simplified (2 1 2 2 1 2 2 1) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* (sqrt PI) (* (sqrt PI) v))))))) (sqrt (fma (* v -6) v 2)))) 13.078 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 13.079 * * * * [progress]: [ 100 / 113 ] simplifiying candidate #real (real->posit16 (* PI v)))))))) (sqrt (fma (* v -6) v 2))))> 13.079 * * * * [progress]: [ 101 / 113 ] simplifiying candidate # 13.079 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 13.079 * [simplify]: Simplifying (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 13.079 * * [simplify]: iters left: 6 (15 enodes) 13.089 * * [simplify]: iters left: 5 (67 enodes) 13.117 * * [simplify]: iters left: 4 (117 enodes) 13.161 * * [simplify]: iters left: 3 (236 enodes) 13.248 * * [simplify]: Extracting #0: cost 1 inf + 0 13.248 * * [simplify]: Extracting #1: cost 38 inf + 0 13.249 * * [simplify]: Extracting #2: cost 101 inf + 4 13.251 * * [simplify]: Extracting #3: cost 89 inf + 1672 13.257 * * [simplify]: Extracting #4: cost 17 inf + 12235 13.267 * * [simplify]: Extracting #5: cost 0 inf + 15459 13.278 * * [simplify]: Extracting #6: cost 0 inf + 15384 13.289 * * [simplify]: Extracting #7: cost 0 inf + 15369 13.299 * [simplify]: Simplified to (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ 1/2 (* 1/8 (* v v)))))) 13.300 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ 1/2 (* 1/8 (* v v)))))))) (sqrt (fma (* v -6) v 2)))) 13.300 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 13.300 * [simplify]: Simplifying (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 13.300 * * [simplify]: iters left: 6 (19 enodes) 13.312 * * [simplify]: iters left: 5 (92 enodes) 13.354 * * [simplify]: iters left: 4 (234 enodes) 13.442 * * [simplify]: Extracting #0: cost 1 inf + 0 13.442 * * [simplify]: Extracting #1: cost 22 inf + 0 13.442 * * [simplify]: Extracting #2: cost 182 inf + 4 13.444 * * [simplify]: Extracting #3: cost 278 inf + 4060 13.449 * * [simplify]: Extracting #4: cost 152 inf + 24438 13.459 * * [simplify]: Extracting #5: cost 43 inf + 59331 13.472 * * [simplify]: Extracting #6: cost 1 inf + 78617 13.485 * * [simplify]: Extracting #7: cost 0 inf + 79200 13.502 * [simplify]: Simplified to (fma -1/8 (/ (* (/ PI v) (/ PI v)) (* (- PI) (* (sqrt (- PI)) v))) (fma (/ PI (* (sqrt (- PI)) v)) 1/2 (* (sqrt (- PI)) v))) 13.502 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (fma -1/8 (/ (* (/ PI v) (/ PI v)) (* (- PI) (* (sqrt (- PI)) v))) (fma (/ PI (* (sqrt (- PI)) v)) 1/2 (* (sqrt (- PI)) v))))) (sqrt (fma (* v -6) v 2)))) 13.502 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 13.502 * [simplify]: Simplifying (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 13.503 * * [simplify]: iters left: 6 (19 enodes) 13.514 * * [simplify]: iters left: 5 (93 enodes) 13.555 * * [simplify]: iters left: 4 (226 enodes) 13.674 * * [simplify]: Extracting #0: cost 1 inf + 0 13.674 * * [simplify]: Extracting #1: cost 19 inf + 0 13.675 * * [simplify]: Extracting #2: cost 186 inf + 1 13.678 * * [simplify]: Extracting #3: cost 269 inf + 4186 13.690 * * [simplify]: Extracting #4: cost 87 inf + 41762 13.712 * * [simplify]: Extracting #5: cost 13 inf + 68711 13.736 * * [simplify]: Extracting #6: cost 0 inf + 74535 13.760 * [simplify]: Simplified to (- (* (/ 1/8 (* (* v (sqrt (- PI))) (- PI))) (* (/ PI v) (/ PI v))) (fma 1/2 (/ PI (* v (sqrt (- PI)))) (* v (sqrt (- PI))))) 13.760 * [simplify]: Simplified (2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (- (* (/ 1/8 (* (* v (sqrt (- PI))) (- PI))) (* (/ PI v) (/ PI v))) (fma 1/2 (/ PI (* v (sqrt (- PI)))) (* v (sqrt (- PI))))))) (sqrt (fma (* v -6) v 2)))) 13.760 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 13.761 * [simplify]: Simplifying (- (sqrt PI) (+ (* 1/2 (* (pow v 2) (sqrt PI))) (* 1/8 (* (pow v 4) (sqrt PI))))) 13.761 * * [simplify]: iters left: 6 (15 enodes) 13.777 * * [simplify]: iters left: 5 (67 enodes) 13.796 * * [simplify]: iters left: 4 (117 enodes) 13.817 * * [simplify]: iters left: 3 (236 enodes) 13.905 * * [simplify]: Extracting #0: cost 1 inf + 0 13.905 * * [simplify]: Extracting #1: cost 38 inf + 0 13.906 * * [simplify]: Extracting #2: cost 101 inf + 4 13.908 * * [simplify]: Extracting #3: cost 89 inf + 1672 13.914 * * [simplify]: Extracting #4: cost 17 inf + 12235 13.925 * * [simplify]: Extracting #5: cost 0 inf + 15459 13.936 * * [simplify]: Extracting #6: cost 0 inf + 15384 13.947 * * [simplify]: Extracting #7: cost 0 inf + 15369 13.958 * [simplify]: Simplified to (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ 1/2 (* 1/8 (* v v)))))) 13.958 * [simplify]: Simplified (2 1 1 2) to (λ (v) (/ (* (/ 1 (- (sqrt PI) (* (sqrt PI) (* (* v v) (+ 1/2 (* 1/8 (* v v))))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 13.959 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 13.959 * [simplify]: Simplifying (- (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI)))) (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3))))) 13.959 * * [simplify]: iters left: 6 (19 enodes) 13.970 * * [simplify]: iters left: 5 (92 enodes) 13.992 * * [simplify]: iters left: 4 (234 enodes) 14.094 * * [simplify]: Extracting #0: cost 1 inf + 0 14.094 * * [simplify]: Extracting #1: cost 22 inf + 0 14.094 * * [simplify]: Extracting #2: cost 182 inf + 4 14.096 * * [simplify]: Extracting #3: cost 278 inf + 4060 14.101 * * [simplify]: Extracting #4: cost 152 inf + 24438 14.113 * * [simplify]: Extracting #5: cost 43 inf + 59331 14.138 * * [simplify]: Extracting #6: cost 1 inf + 78617 14.161 * * [simplify]: Extracting #7: cost 0 inf + 79200 14.187 * [simplify]: Simplified to (fma -1/8 (/ (* (/ PI v) (/ PI v)) (* (- PI) (* (sqrt (- PI)) v))) (fma (/ PI (* (sqrt (- PI)) v)) 1/2 (* (sqrt (- PI)) v))) 14.187 * [simplify]: Simplified (2 1 1 2) to (λ (v) (/ (* (/ 1 (fma -1/8 (/ (* (/ PI v) (/ PI v)) (* (- PI) (* (sqrt (- PI)) v))) (fma (/ PI (* (sqrt (- PI)) v)) 1/2 (* (sqrt (- PI)) v)))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 14.188 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 14.188 * [simplify]: Simplifying (- (* 1/8 (/ (pow PI 2) (* (pow v 3) (pow (sqrt (- PI)) 3)))) (+ (* 1/2 (/ PI (* v (sqrt (- PI))))) (* v (sqrt (- PI))))) 14.188 * * [simplify]: iters left: 6 (19 enodes) 14.198 * * [simplify]: iters left: 5 (93 enodes) 14.231 * * [simplify]: iters left: 4 (226 enodes) 14.314 * * [simplify]: Extracting #0: cost 1 inf + 0 14.314 * * [simplify]: Extracting #1: cost 19 inf + 0 14.315 * * [simplify]: Extracting #2: cost 186 inf + 1 14.317 * * [simplify]: Extracting #3: cost 269 inf + 4186 14.330 * * [simplify]: Extracting #4: cost 87 inf + 41762 14.349 * * [simplify]: Extracting #5: cost 13 inf + 68711 14.370 * * [simplify]: Extracting #6: cost 0 inf + 74535 14.392 * [simplify]: Simplified to (- (* (/ 1/8 (* (* v (sqrt (- PI))) (- PI))) (* (/ PI v) (/ PI v))) (fma 1/2 (/ PI (* v (sqrt (- PI)))) (* v (sqrt (- PI))))) 14.393 * [simplify]: Simplified (2 1 1 2) to (λ (v) (/ (* (/ 1 (- (* (/ 1/8 (* (* v (sqrt (- PI))) (- PI))) (* (/ PI v) (/ PI v))) (fma 1/2 (/ PI (* v (sqrt (- PI)))) (* v (sqrt (- PI)))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2)))) 14.393 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 14.393 * [simplify]: Simplifying (+ (* 1/2 (* (pow v 4) (sqrt (/ 1 PI)))) (+ (* 2/3 (* (pow v 2) (sqrt (/ 1 PI)))) (* 4/3 (sqrt (/ 1 PI))))) 14.393 * * [simplify]: iters left: 6 (19 enodes) 14.400 * * [simplify]: iters left: 5 (81 enodes) 14.413 * * [simplify]: iters left: 4 (130 enodes) 14.458 * * [simplify]: iters left: 3 (239 enodes) 14.542 * * [simplify]: iters left: 2 (353 enodes) 14.637 * * [simplify]: iters left: 1 (493 enodes) 14.732 * * [simplify]: Extracting #0: cost 1 inf + 0 14.732 * * [simplify]: Extracting #1: cost 31 inf + 0 14.733 * * [simplify]: Extracting #2: cost 75 inf + 4 14.733 * * [simplify]: Extracting #3: cost 75 inf + 1761 14.735 * * [simplify]: Extracting #4: cost 48 inf + 4207 14.739 * * [simplify]: Extracting #5: cost 5 inf + 12121 14.747 * * [simplify]: Extracting #6: cost 0 inf + 13186 14.760 * [simplify]: Simplified to (* (fma (* v v) (fma (* v v) 1/2 2/3) 4/3) (sqrt (/ 1 PI))) 14.761 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (* (fma (* v v) (fma (* v v) 1/2 2/3) 4/3) (sqrt (/ 1 PI)))) (sqrt (fma (* v -6) v 2)))) 14.761 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 14.761 * [simplify]: Simplifying (- (* 4/3 (/ (sqrt (/ -1 PI)) v)) (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI))))))))) 14.761 * * [simplify]: iters left: 6 (32 enodes) 14.784 * * [simplify]: iters left: 5 (158 enodes) 14.822 * * [simplify]: iters left: 4 (368 enodes) 14.945 * * [simplify]: Extracting #0: cost 1 inf + 0 14.945 * * [simplify]: Extracting #1: cost 25 inf + 0 14.946 * * [simplify]: Extracting #2: cost 111 inf + 1 14.946 * * [simplify]: Extracting #3: cost 216 inf + 91 14.948 * * [simplify]: Extracting #4: cost 281 inf + 2651 14.951 * * [simplify]: Extracting #5: cost 188 inf + 22466 14.966 * * [simplify]: Extracting #6: cost 35 inf + 84519 14.982 * * [simplify]: Extracting #7: cost 0 inf + 102439 14.999 * * [simplify]: Extracting #8: cost 0 inf + 102200 15.017 * * [simplify]: Extracting #9: cost 0 inf + 102175 15.049 * [simplify]: Simplified to (fma 4/3 (/ (sqrt (/ -1 PI)) v) (- (/ -1/6 (* (* (* (pow v 5) (* PI PI)) (sqrt (/ -1 PI))) (/ -1 PI))) (+ (/ (/ 2/3 (* v (* v v))) (* (sqrt (/ -1 PI)) PI)) (/ (/ 2/3 (pow v 5)) (* (sqrt (/ -1 PI)) PI))))) 15.049 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (fma 4/3 (/ (sqrt (/ -1 PI)) v) (- (/ -1/6 (* (* (* (pow v 5) (* PI PI)) (sqrt (/ -1 PI))) (/ -1 PI))) (+ (/ (/ 2/3 (* v (* v v))) (* (sqrt (/ -1 PI)) PI)) (/ (/ 2/3 (pow v 5)) (* (sqrt (/ -1 PI)) PI)))))) (sqrt (fma (* v -6) v 2)))) 15.049 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 15.050 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))) (* 4/3 (/ (sqrt (/ -1 PI)) v))) 15.050 * * [simplify]: iters left: 6 (32 enodes) 15.073 * * [simplify]: iters left: 5 (157 enodes) 15.136 * * [simplify]: iters left: 4 (373 enodes) 15.275 * * [simplify]: Extracting #0: cost 1 inf + 0 15.275 * * [simplify]: Extracting #1: cost 33 inf + 0 15.275 * * [simplify]: Extracting #2: cost 104 inf + 4 15.277 * * [simplify]: Extracting #3: cost 215 inf + 48 15.279 * * [simplify]: Extracting #4: cost 265 inf + 3883 15.285 * * [simplify]: Extracting #5: cost 187 inf + 20127 15.311 * * [simplify]: Extracting #6: cost 41 inf + 73243 15.340 * * [simplify]: Extracting #7: cost 1 inf + 94995 15.368 * * [simplify]: Extracting #8: cost 0 inf + 95531 15.383 * [simplify]: Simplified to (fma -4/3 (/ (sqrt (/ -1 PI)) v) (+ (+ (/ (/ 1/6 (pow v 5)) (* (* (/ -1 PI) (sqrt (/ -1 PI))) (* PI PI))) (/ 2/3 (* (sqrt (/ -1 PI)) (* (pow v 5) PI)))) (/ 2/3 (* (* v v) (* (sqrt (/ -1 PI)) (* v PI)))))) 15.383 * [simplify]: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (fma -4/3 (/ (sqrt (/ -1 PI)) v) (+ (+ (/ (/ 1/6 (pow v 5)) (* (* (/ -1 PI) (sqrt (/ -1 PI))) (* PI PI))) (/ 2/3 (* (sqrt (/ -1 PI)) (* (pow v 5) PI)))) (/ 2/3 (* (* v v) (* (sqrt (/ -1 PI)) (* v PI))))))) (sqrt (fma (* v -6) v 2)))) 15.384 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 15.384 * [simplify]: Simplifying (* v PI) 15.384 * * [simplify]: iters left: 2 (3 enodes) 15.385 * * [simplify]: iters left: 1 (10 enodes) 15.386 * * [simplify]: Extracting #0: cost 1 inf + 0 15.386 * * [simplify]: Extracting #1: cost 4 inf + 0 15.386 * * [simplify]: Extracting #2: cost 2 inf + 2 15.386 * * [simplify]: Extracting #3: cost 0 inf + 86 15.386 * [simplify]: Simplified to (* v PI) 15.386 * [simplify]: Simplified (2 1 2 2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* v PI)))))) (sqrt (fma (* v -6) v 2)))) 15.386 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 15.386 * [simplify]: Simplifying (* v PI) 15.386 * * [simplify]: iters left: 2 (3 enodes) 15.387 * * [simplify]: iters left: 1 (10 enodes) 15.388 * * [simplify]: Extracting #0: cost 1 inf + 0 15.388 * * [simplify]: Extracting #1: cost 4 inf + 0 15.388 * * [simplify]: Extracting #2: cost 2 inf + 2 15.388 * * [simplify]: Extracting #3: cost 0 inf + 86 15.388 * [simplify]: Simplified to (* v PI) 15.388 * [simplify]: Simplified (2 1 2 2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* v PI)))))) (sqrt (fma (* v -6) v 2)))) 15.388 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 15.388 * [simplify]: Simplifying (* v PI) 15.389 * * [simplify]: iters left: 2 (3 enodes) 15.389 * * [simplify]: iters left: 1 (10 enodes) 15.390 * * [simplify]: Extracting #0: cost 1 inf + 0 15.390 * * [simplify]: Extracting #1: cost 4 inf + 0 15.390 * * [simplify]: Extracting #2: cost 2 inf + 2 15.390 * * [simplify]: Extracting #3: cost 0 inf + 86 15.390 * [simplify]: Simplified to (* v PI) 15.390 * [simplify]: Simplified (2 1 2 2 1 2 2) to (λ (v) (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* v PI)))))) (sqrt (fma (* v -6) v 2)))) 15.391 * * * [progress]: adding candidates to table 16.764 * [progress]: [Phase 3 of 3] Extracting. 16.770 * [simplify]: Simplifying (/ (* (/ 1 (sqrt (- PI (* v (* PI v))))) (/ 4/3 (sqrt (- PI (* v (* PI v)))))) (sqrt (fma (* v -6) v 2))) 16.771 * * [simplify]: iters left: 6 (17 enodes) 16.772 * * [simplify]: iters left: 5 (23 enodes) 16.773 * * [simplify]: Extracting #0: cost 1 inf + 0 16.774 * * [simplify]: Extracting #1: cost 3 inf + 0 16.774 * * [simplify]: Extracting #2: cost 6 inf + 0 16.774 * * [simplify]: Extracting #3: cost 12 inf + 0 16.774 * * [simplify]: Extracting #4: cost 10 inf + 4 16.774 * * [simplify]: Extracting #5: cost 11 inf + 5 16.774 * * [simplify]: Extracting #6: cost 8 inf + 284 16.774 * * [simplify]: Extracting #7: cost 7 inf + 326 16.774 * * [simplify]: Extracting #8: cost 5 inf + 530 16.775 * * [simplify]: Extracting #9: cost 2 inf + 1098 16.775 * * [simplify]: Extracting #10: cost 0 inf + 1843 16.776 * [simplify]: Simplified to (/ (* (/ 4/3 (sqrt (- PI (* v (* v PI))))) (/ 1 (sqrt (- PI (* v (* v PI)))))) (sqrt (fma (* -6 v) v 2))) 19.841 * [regime-testing]: Baseline error score: 0.012242131829429402 19.843 * [regime-testing]: Oracle error score: 0.012242131829429402 19.844 * [regime-testing]: End program error score: 0.012242131829429402