* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 136 additional inputs, on iter 1 have 120 / 256 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 136 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 74 additional inputs, on iter 2 have 182 / 256 * * * * [misc]points: Computing exacts on every 4 of 74 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 74 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 74 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 37 additional inputs, on iter 3 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 37 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]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)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]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)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]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)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -6 1) (+ (* 0 0) (* 0 0))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4/3 PI)) (log (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) 1) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (cbrt (/ 4/3 PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4/3 PI)) (/ (- 1 (* v v)) (sqrt (/ 4/3 PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (* -6 v) v 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (fabs (cbrt (fma (* -6 v) v 2))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (sqrt (sqrt (fma (* v v) -6 2))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* 1 (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fabs (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2)))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3949 additional inputs, on iter 1 have 4051 / 8000 * * * * [misc]points: Computing exacts on every 246 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 123 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 61 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 3949 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 3949 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1953 additional inputs, on iter 2 have 6047 / 8000 * * * * [misc]points: Computing exacts on every 122 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 61 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 1953 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1953 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 975 additional inputs, on iter 3 have 7025 / 8000 * * * * [misc]points: Computing exacts on every 60 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 975 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 975 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 475 additional inputs, on iter 4 have 7525 / 8000 * * * * [misc]points: Computing exacts on every 29 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 14 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 475 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 475 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 235 additional inputs, on iter 5 have 7765 / 8000 * * * * [misc]points: Computing exacts on every 14 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 235 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 104 additional inputs, on iter 6 have 7896 / 8000 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 104 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 44 additional inputs, on iter 7 have 7956 / 8000 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 44 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 7976 / 8000 * * * * [misc]points: Computing exacts for 24 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 9 have 7989 / 8000 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs