* [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 125 additional inputs, on iter 1 have 131 / 256 * * * * [misc]points: Computing exacts on every 7 of 125 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 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 125 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 66 additional inputs, on iter 2 have 190 / 256 * * * * [misc]points: Computing exacts on every 4 of 66 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 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 66 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 28 additional inputs, on iter 3 have 228 / 256 * * * * [misc]points: Computing exacts for 28 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 12 additional inputs, on iter 4 have 244 / 256 * * * * [misc]points: Computing exacts for 12 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 5 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 6 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 258 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 1 * * [misc]simplify: Extracting #3: cost 168 inf + 47 * * [misc]simplify: Extracting #4: cost 176 inf + 1000 * * [misc]simplify: Extracting #5: cost 140 inf + 4216 * * [misc]simplify: Extracting #6: cost 94 inf + 14621 * * [misc]simplify: Extracting #7: cost 7 inf + 34301 * * [misc]simplify: Extracting #8: cost 0 inf + 35999 * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* v (* PI 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 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [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 v) (* PI (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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 (- v)) (* PI (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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: [ 2 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* PI v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI v) into (* v PI) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 v))) into (* v PI) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [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 (+ (* PI 0) (* 0 -1)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- v)))) into (* v PI) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (* v (* PI v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (pow v 2)) into (* (pow v 2) PI) * [misc]approximate: Taking taylor expansion of (* (/ 1 v) (* PI (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 PI)))))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (pow (/ 1 (/ 1 v)) 2)) into (* (pow v 2) PI) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [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 (+ (* PI 0) (* 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 PI))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (pow (/ 1 (/ 1 (- v))) 2)) into (* (pow v 2) PI) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (- PI (* v (* PI v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- PI (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (- PI (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- PI) (pow v 2)) PI) into (- PI (* (pow v 2) PI)) * [misc]approximate: Taking taylor expansion of (- PI (* (/ 1 v) (* PI (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- PI (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (- PI (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 v)) 2))) into (- PI (* (pow v 2) PI)) * [misc]approximate: Taking taylor expansion of (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify PI into PI * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 0 (/ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 (- v))) 2))) into (- PI (* (pow v 2) PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 1025 * [exit]simplify: Simplified to (cbrt (- PI (* (* PI v) v))) * [misc]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 -6 (* v v) 2)))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 985 * [exit]simplify: Simplified to (sqrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* (* PI v) v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 84 * * [misc]simplify: Extracting #3: cost 3 inf + 672 * * [misc]simplify: Extracting #4: cost 0 inf + 823 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ 4/3 1) (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 277 * * [misc]simplify: Extracting #3: cost 14 inf + 2981 * * [misc]simplify: Extracting #4: cost 0 inf + 4140 * [exit]simplify: Simplified to (* PI (fma (* v v) (fma PI (* v v) PI) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))) (* PI (fma (* v v) (fma PI (* v v) PI) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 322 * * [misc]simplify: Extracting #4: cost 0 inf + 406 * [exit]simplify: Simplified to (fma v (* PI v) PI) * [misc]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 -6 (* v v) 2)))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 123 inf + 2 * * [misc]simplify: Extracting #3: cost 92 inf + 5203 * * [misc]simplify: Extracting #4: cost 8 inf + 27715 * * [misc]simplify: Extracting #5: cost 0 inf + 30649 * [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: [ 53 / 63 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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: [ 54 / 63 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* v PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* v PI) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* v PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* v PI) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* v PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* v PI) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ 4/3 (- PI (* v (* v PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow v 2) PI) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 168 * [exit]simplify: Simplified to (* (* v v) PI) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow v 2) PI) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 168 * [exit]simplify: Simplified to (* (* v v) PI) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow v 2) PI) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 168 * [exit]simplify: Simplified to (* (* v v) PI) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* (pow v 2) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 343 * * [misc]simplify: Extracting #3: cost 1 inf + 782 * * [misc]simplify: Extracting #4: cost 0 inf + 824 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* (pow v 2) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 343 * * [misc]simplify: Extracting #3: cost 1 inf + 782 * * [misc]simplify: Extracting #4: cost 0 inf + 824 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* (pow v 2) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 343 * * [misc]simplify: Extracting #3: cost 1 inf + 782 * * [misc]simplify: Extracting #4: cost 0 inf + 824 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [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 v) (* PI (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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 (- v)) (* PI (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [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 v) (* PI (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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 (- v)) (* PI (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [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 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt 4/3) (sqrt (/ 1 PI))) (* (sqrt 4/3) (sqrt (/ 1 PI)))) into (/ (pow (sqrt 4/3) 2) PI) * [misc]backup-simplify: Simplify (/ (pow (sqrt 4/3) 2) PI) into (/ (pow (sqrt 4/3) 2) PI) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 PI))) 0) (* 0 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow 0 2) (+)) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow 0 2) (+)) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 PI))) (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI))))) (+ (* 0 0) (* (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) (* (sqrt 4/3) (sqrt (/ 1 PI)))))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))))))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))))))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 PI))) 0) (+ (* 0 (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI))))) (+ (* (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) 0) (* 0 (* (sqrt 4/3) (sqrt (/ 1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 PI))) (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI)))) (+ (* 0 0) (+ (* (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI))))) (+ (* 0 0) (* (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) (* (sqrt 4/3) (sqrt (/ 1 PI)))))))) 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)) (/ (pow (sqrt 4/3) 2) PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ (pow v 4) PI)) (/ (pow (sqrt 4/3) 2) PI))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ -4/3 PI)) (sqrt (/ -4/3 PI))) into (pow (sqrt (/ -4/3 PI)) 2) * [misc]backup-simplify: Simplify (pow (sqrt (/ -4/3 PI)) 2) into (pow (sqrt (/ -4/3 PI)) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) 0) (* 0 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* 0 0) (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (sqrt (/ -4/3 PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) 0) (+ (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 0) (* 0 (sqrt (/ -4/3 PI)))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI))))) (+ (* 0 0) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* 0 0) (* (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) (sqrt (/ -4/3 PI))))))) 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)) (* (pow (sqrt (/ -4/3 PI)) 2) (pow (/ 1 v) 2)))) into (- (/ (pow (sqrt (/ -4/3 PI)) 2) (pow v 2)) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ -4/3 PI)) (sqrt (/ -4/3 PI))) into (pow (sqrt (/ -4/3 PI)) 2) * [misc]backup-simplify: Simplify (pow (sqrt (/ -4/3 PI)) 2) into (pow (sqrt (/ -4/3 PI)) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) 0) (* 0 (sqrt (/ -4/3 PI)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [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 (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* 0 0) (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (sqrt (/ -4/3 PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) 0) (+ (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 0) (* 0 (sqrt (/ -4/3 PI)))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -4/3 PI)) (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI))))) (+ (* 0 0) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (/ -2/3 (* (sqrt (/ -4/3 PI)) PI))) (+ (* 0 0) (* (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) (sqrt (/ -4/3 PI))))))) 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)) (* (pow (sqrt (/ -4/3 PI)) 2) (pow (/ 1 (- v)) 2)))) into (- (/ (pow (sqrt (/ -4/3 PI)) 2) (pow v 2)) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* v (* PI v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* v (* PI v)))) 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 (* v (* PI v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* v (* PI 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 (* PI v) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 PI)) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 4/3) (sqrt (/ 1 PI))) into (* (sqrt 4/3) (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 0))) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow 0 2) (+)) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) into (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))))))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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)) * [misc]backup-simplify: Simplify (/ (- (* 4/3 (/ 1 PI)) (pow (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) * [misc]backup-simplify: Simplify (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) into (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (/ (- (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) PI)))) (sqrt 4/3)) (sqrt PI))) (pow v 4)) (+ (* (* 2/3 (* (/ 1 (sqrt 4/3)) (sqrt (/ 1 PI)))) (pow v 2)) (* (sqrt 4/3) (sqrt (/ 1 PI))))) into (- (+ (* (sqrt 4/3) (sqrt (/ 1 PI))) (+ (* 2/3 (* (/ (pow v 4) (sqrt 4/3)) (sqrt (/ 1 PI)))) (* 2/3 (* (/ (pow v 2) (sqrt 4/3)) (sqrt (/ 1 PI)))))) (* 2/9 (* (/ (pow v 4) (pow (sqrt 4/3) 3)) (sqrt (/ 1 PI))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 v) (* PI (/ 1 v))))) 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 (* (/ 1 v) (* PI (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* PI (/ 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 (* PI (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 PI)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) (pow (/ 1 v) 5)) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (pow (/ 1 v) 3)) (* (sqrt (/ -4/3 PI)) (/ 1 v)))) into (- (/ (sqrt (/ -4/3 PI)) v) (+ (* 2/3 (/ 1 (* (pow v 3) (* (sqrt (/ -4/3 PI)) PI)))) (+ (* 2/9 (/ 1 (* (pow v 5) (* (pow (sqrt (/ -4/3 PI)) 3) (pow PI 2))))) (* 2/3 (/ 1 (* (pow v 5) (* (sqrt (/ -4/3 PI)) PI))))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 (- PI (* (/ 1 (- v)) (* PI (/ 1 (- v)))))) 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 (* (/ 1 (- v)) (* PI (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* PI (/ 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 (* PI (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (* 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 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ -4/3 PI)) into (sqrt (/ -4/3 PI)) * [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 (+ (* PI 0) (+ (* 0 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 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow 0 2) (+)) (* 2 (sqrt (/ -4/3 PI)))) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [misc]backup-simplify: Simplify (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) into (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 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 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)))))) (* 2 (sqrt (/ -4/3 PI)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (/ (- (- (* 4/3 (/ 1 PI))) (pow (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) into (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 4/3 (/ 1 PI)) (* 4/9 (/ 1 (* (pow (sqrt (/ -4/3 PI)) 2) (pow PI 2))))) (sqrt (/ -4/3 PI)))) (pow (/ 1 (- v)) 5)) (+ (* (/ -2/3 (* (sqrt (/ -4/3 PI)) PI)) (pow (/ 1 (- v)) 3)) (* (sqrt (/ -4/3 PI)) (/ 1 (- v))))) into (- (+ (* 2/3 (/ 1 (* (pow v 3) (* (sqrt (/ -4/3 PI)) PI)))) (+ (* 2/9 (/ 1 (* (pow v 5) (* (pow (sqrt (/ -4/3 PI)) 3) (pow PI 2))))) (* 2/3 (/ 1 (* (pow v 5) (* (sqrt (/ -4/3 PI)) PI)))))) (/ (sqrt (/ -4/3 PI)) v)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 1025 * [exit]simplify: Simplified to (cbrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ (/ 4/3 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (cbrt (- PI (* (* PI v) v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 985 * [exit]simplify: Simplified to (sqrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ (/ 4/3 (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* (* PI v) v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 84 * * [misc]simplify: Extracting #3: cost 3 inf + 672 * * [misc]simplify: Extracting #4: cost 0 inf + 823 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ (/ 4/3 1) (- PI (* (* v v) PI))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 277 * * [misc]simplify: Extracting #3: cost 14 inf + 2981 * * [misc]simplify: Extracting #4: cost 0 inf + 4140 * [exit]simplify: Simplified to (* PI (fma (* v v) (fma PI (* v v) PI) PI)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (* (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))) (* PI (fma (* v v) (fma PI (* v v) PI) PI))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 322 * * [misc]simplify: Extracting #4: cost 0 inf + 406 * [exit]simplify: Simplified to (fma v (* PI v) PI) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (* (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (fma v (* PI v) PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 1025 * [exit]simplify: Simplified to (cbrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (sqrt (/ (/ 4/3 (* (cbrt (- PI (* v (* PI v)))) (cbrt (- PI (* v (* PI v)))))) (cbrt (- PI (* (* PI v) v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 985 * [exit]simplify: Simplified to (sqrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (sqrt (/ (/ 4/3 (sqrt (- PI (* v (* PI v))))) (sqrt (- PI (* (* PI v) v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 84 * * [misc]simplify: Extracting #3: cost 3 inf + 672 * * [misc]simplify: Extracting #4: cost 0 inf + 823 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (sqrt (/ (/ 4/3 1) (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 277 * * [misc]simplify: Extracting #3: cost 14 inf + 2981 * * [misc]simplify: Extracting #4: cost 0 inf + 4140 * [exit]simplify: Simplified to (* PI (fma (* v v) (fma PI (* v v) PI) PI)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (sqrt (* (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))) (* PI (fma (* v v) (fma PI (* v v) PI) PI)))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 322 * * [misc]simplify: Extracting #4: cost 0 inf + 406 * [exit]simplify: Simplified to (fma v (* PI v) PI) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (sqrt (* (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (fma v (* PI v) PI))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 11 inf + 209 * * [misc]simplify: Extracting #4: cost 5 inf + 658 * * [misc]simplify: Extracting #5: cost 0 inf + 1110 * [exit]simplify: Simplified to (/ 4/3 (- PI (* v (* v PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (pow (/ 4/3 (- PI (* v (* v PI)))) (+ 1/2 1/2)) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (pow (/ 4/3 (- PI (* v (* PI v)))) 1) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 387 * * [misc]simplify: Extracting #5: cost 2 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1313 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (pow (sqrt (/ 4/3 (- PI (* v (* v PI))))) (+ 1 1)) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (pow (sqrt (/ 4/3 (- PI (* v (* PI v))))) 2) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4/3 (- PI (* v (* PI v)))) (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 85 inf + 3 * * [misc]simplify: Extracting #3: cost 221 inf + 4319 * * [misc]simplify: Extracting #4: cost 42 inf + 38323 * * [misc]simplify: Extracting #5: cost 0 inf + 47567 * * [misc]simplify: Extracting #6: cost 0 inf + 47287 * [exit]simplify: Simplified to (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (pow (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI))))) 1/2) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 387 * * [misc]simplify: Extracting #4: cost 2 inf + 1178 * * [misc]simplify: Extracting #5: cost 0 inf + 1313 * [exit]simplify: Simplified to (/ 4/3 (- PI (* v (* v PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (pow (/ 4/3 (- PI (* v (* v PI)))) 1) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 387 * * [misc]simplify: Extracting #5: cost 2 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1313 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (pow (sqrt (/ 4/3 (- PI (* v (* v PI))))) (+ 1 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (log (sqrt (/ 4/3 (- PI (* v (* PI v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 387 * * [misc]simplify: Extracting #7: cost 4 inf + 1178 * * [misc]simplify: Extracting #8: cost 0 inf + 1929 * * [misc]simplify: Extracting #9: cost 0 inf + 1899 * [exit]simplify: Simplified to (+ (log (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (log (sqrt (/ 4/3 (- PI (* v (* v PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (+ (log (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (log (sqrt (/ 4/3 (- PI (* v (* v PI)))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 168 inf + 0 * * [misc]simplify: Extracting #2: cost 438 inf + 48 * * [misc]simplify: Extracting #3: cost 586 inf + 11635 * * [misc]simplify: Extracting #4: cost 259 inf + 103675 * * [misc]simplify: Extracting #5: cost 10 inf + 186315 * * [misc]simplify: Extracting #6: cost 0 inf + 189277 * [exit]simplify: Simplified to (* (/ 4/3 (- PI (* v (* v PI)))) (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (* (/ 4/3 (- PI (* v (* v PI)))) (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4/3 (- PI (* v (* PI v)))) (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 85 inf + 3 * * [misc]simplify: Extracting #3: cost 221 inf + 4319 * * [misc]simplify: Extracting #4: cost 42 inf + 38323 * * [misc]simplify: Extracting #5: cost 0 inf + 47567 * * [misc]simplify: Extracting #6: cost 0 inf + 47287 * [exit]simplify: Simplified to (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (sqrt (* (/ 4/3 (- PI (* v (* v PI)))) (/ 4/3 (- PI (* v (* v PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI (* v (* PI v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 84 * * [misc]simplify: Extracting #3: cost 3 inf + 672 * * [misc]simplify: Extracting #4: cost 0 inf + 823 * [exit]simplify: Simplified to (- PI (* (* v v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4/3) (sqrt 4/3)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ 4/3 (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (* (sqrt (- PI (* v (* PI v)))) (sqrt (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 43 * * [misc]simplify: Extracting #3: cost 1 inf + 973 * * [misc]simplify: Extracting #4: cost 0 inf + 985 * [exit]simplify: Simplified to (- PI (* (* PI v) v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ 4/3 (- PI (* (* PI v) v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1596 * [exit]simplify: Simplified to (cbrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))))) (cbrt (sqrt (/ 4/3 (- PI (* (* v v) PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1064 * * [misc]simplify: Extracting #7: cost 0 inf + 1636 * [exit]simplify: Simplified to (sqrt (cbrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (* (cbrt (/ 4/3 (- PI (* v (* PI v))))) (cbrt (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (cbrt (/ 4/3 (- PI (* (* v v) PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1556 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 387 * * [misc]simplify: Extracting #5: cost 2 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1313 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt 1)) (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 471 * * [misc]simplify: Extracting #5: cost 0 inf + 1341 * * [misc]simplify: Extracting #6: cost 0 inf + 1311 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt 4/3)) (sqrt (/ (/ 1 (- 1 (* v v))) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 836 * * [misc]simplify: Extracting #4: cost 13 inf + 3377 * * [misc]simplify: Extracting #5: cost 0 inf + 4372 * [exit]simplify: Simplified to (sqrt (* (fma (fma (* v v) PI PI) (* v v) PI) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3))))) (sqrt (* (fma (fma (* v v) PI PI) (* v v) PI) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 43 * * [misc]simplify: Extracting #4: cost 2 inf + 459 * * [misc]simplify: Extracting #5: cost 0 inf + 543 * [exit]simplify: Simplified to (sqrt (fma v (* PI v) PI)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))))) (sqrt (fma v (* PI v) PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1556 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 387 * * [misc]simplify: Extracting #5: cost 2 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1313 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) 1) (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 387 * * [misc]simplify: Extracting #7: cost 4 inf + 1178 * * [misc]simplify: Extracting #8: cost 0 inf + 1949 * * [misc]simplify: Extracting #9: cost 0 inf + 1919 * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (cbrt (sqrt (/ 4/3 (- PI (* v (* v PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (cbrt (sqrt (/ 4/3 (- PI (* v (* v PI))))))) (* (cbrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 4/3 (- PI (* v (* PI v))))) (cbrt (/ 4/3 (- PI (* v (* PI v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 2 * * [misc]simplify: Extracting #5: cost 11 inf + 508 * * [misc]simplify: Extracting #6: cost 5 inf + 1392 * * [misc]simplify: Extracting #7: cost 0 inf + 1934 * * [misc]simplify: Extracting #8: cost 0 inf + 1919 * [exit]simplify: Simplified to (fabs (cbrt (/ 4/3 (- PI (* v (* v PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (fabs (cbrt (/ 4/3 (- PI (* v (* v PI)))))) (* (sqrt (cbrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1556 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) (* (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 4/3) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 42 * [exit]simplify: Simplified to (sqrt 4/3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt 4/3) (* (sqrt (/ 1 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 110 inf + 43 * * [misc]simplify: Extracting #5: cost 116 inf + 2181 * * [misc]simplify: Extracting #6: cost 42 inf + 14374 * * [misc]simplify: Extracting #7: cost 1 inf + 22480 * * [misc]simplify: Extracting #8: cost 0 inf + 22802 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- (* (* PI PI) PI) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- (* (* PI PI) PI) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))) (* (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 71 inf + 1 * * [misc]simplify: Extracting #4: cost 96 inf + 85 * * [misc]simplify: Extracting #5: cost 59 inf + 5079 * * [misc]simplify: Extracting #6: cost 7 inf + 16139 * * [misc]simplify: Extracting #7: cost 0 inf + 16750 * * [misc]simplify: Extracting #8: cost 0 inf + 16710 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- (* PI PI) (* (* (* v v) PI) (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- (* PI PI) (* (* (* v v) PI) (* (* v v) PI))))) (* (sqrt (+ PI (* v (* PI v)))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1556 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) (* (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- PI (* v (* PI v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 4 inf + 537 * * [misc]simplify: Extracting #5: cost 0 inf + 985 * [exit]simplify: Simplified to (sqrt (- PI (* (* PI v) v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt 4/3)) (sqrt (- PI (* (* PI v) v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4/3) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 15 inf + 167 * * [misc]simplify: Extracting #6: cost 6 inf + 892 * * [misc]simplify: Extracting #7: cost 0 inf + 1667 * * [misc]simplify: Extracting #8: cost 0 inf + 1637 * [exit]simplify: Simplified to (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt 4/3)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt 4/3)) (sqrt (- PI (* v (* PI v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 4/3 (- PI (* v (* PI v))))) (cbrt (/ 4/3 (- PI (* v (* PI v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 2 * * [misc]simplify: Extracting #5: cost 11 inf + 508 * * [misc]simplify: Extracting #6: cost 5 inf + 1392 * * [misc]simplify: Extracting #7: cost 0 inf + 1934 * * [misc]simplify: Extracting #8: cost 0 inf + 1919 * [exit]simplify: Simplified to (fabs (cbrt (/ 4/3 (- PI (* v (* v PI)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (fabs (cbrt (/ 4/3 (- PI (* v (* v PI)))))) (sqrt (cbrt (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 657 * * [misc]simplify: Extracting #6: cost 5 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1556 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (sqrt (sqrt (/ 4/3 (- PI (* (* v v) PI))))) (sqrt (sqrt (/ 4/3 (- PI (* v (* PI v)))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* 1 (sqrt (/ 4/3 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 4/3) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 42 * [exit]simplify: Simplified to (sqrt 4/3) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (sqrt 4/3) (sqrt (/ 1 (- PI (* v (* PI v))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 110 inf + 43 * * [misc]simplify: Extracting #5: cost 116 inf + 2181 * * [misc]simplify: Extracting #6: cost 42 inf + 14374 * * [misc]simplify: Extracting #7: cost 1 inf + 22480 * * [misc]simplify: Extracting #8: cost 0 inf + 22802 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- (* (* PI PI) PI) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (sqrt (/ 4/3 (- (* (* PI PI) PI) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))) (sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 71 inf + 1 * * [misc]simplify: Extracting #4: cost 96 inf + 85 * * [misc]simplify: Extracting #5: cost 59 inf + 5079 * * [misc]simplify: Extracting #6: cost 7 inf + 16139 * * [misc]simplify: Extracting #7: cost 0 inf + 16750 * * [misc]simplify: Extracting #8: cost 0 inf + 16710 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- (* PI PI) (* (* (* v v) PI) (* (* v v) PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (* (sqrt (/ 4/3 (- (* PI PI) (* (* (* v v) PI) (* (* v v) PI))))) (sqrt (+ PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 4/3) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 42 * [exit]simplify: Simplified to (sqrt 4/3) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 (- PI (* v (* PI v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 387 * * [misc]simplify: Extracting #5: cost 2 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1313 * [exit]simplify: Simplified to (sqrt (/ 4/3 (- PI (* v (* v PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (fabs (sqrt (/ 4/3 (- PI (* v (* v PI))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 123 inf + 2 * * [misc]simplify: Extracting #3: cost 92 inf + 5203 * * [misc]simplify: Extracting #4: cost 8 inf + 27715 * * [misc]simplify: Extracting #5: cost 0 inf + 30649 * [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 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 95 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (- (/ -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: [ 96 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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 2 1) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (- (/ -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: [ 97 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 123 inf + 2 * * [misc]simplify: Extracting #3: cost 92 inf + 5203 * * [misc]simplify: Extracting #4: cost 8 inf + 27715 * * [misc]simplify: Extracting #5: cost 0 inf + 30649 * [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 1 1) to (λ (v) (/ (* (sqrt (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI)))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 98 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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 1 1) to (λ (v) (/ (* (sqrt (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 99 / 105 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 2 * * [misc]simplify: Extracting #3: cost 74 inf + 1124 * * [misc]simplify: Extracting #4: cost 45 inf + 5552 * * [misc]simplify: Extracting #5: cost 13 inf + 17847 * * [misc]simplify: Extracting #6: cost 1 inf + 23510 * * [misc]simplify: Extracting #7: cost 0 inf + 24336 * [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 1 1) to (λ (v) (/ (* (sqrt (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ (pow v 4) PI)) (/ (pow (sqrt 4/3) 2) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 1 * * [misc]simplify: Extracting #3: cost 36 inf + 90 * * [misc]simplify: Extracting #4: cost 14 inf + 2858 * * [misc]simplify: Extracting #5: cost 0 inf + 6706 * * [misc]simplify: Extracting #6: cost 0 inf + 6678 * [exit]simplify: Simplified to (* (+ (fma v v (pow v 4)) 1) (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (+ (fma v v (pow v 4)) 1) (/ 4/3 PI)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt (/ -4/3 PI)) 2) (pow v 2)) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 101 inf + 2 * * [misc]simplify: Extracting #3: cost 87 inf + 915 * * [misc]simplify: Extracting #4: cost 46 inf + 6460 * * [misc]simplify: Extracting #5: cost 19 inf + 15115 * * [misc]simplify: Extracting #6: cost 1 inf + 22406 * * [misc]simplify: Extracting #7: cost 0 inf + 23031 * [exit]simplify: Simplified to (+ (+ (/ (/ -4/3 PI) (pow v 6)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ -4/3 PI) (pow v 6)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (* v v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt (/ -4/3 PI)) 2) (pow v 2)) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 101 inf + 2 * * [misc]simplify: Extracting #3: cost 87 inf + 915 * * [misc]simplify: Extracting #4: cost 46 inf + 6460 * * [misc]simplify: Extracting #5: cost 19 inf + 15115 * * [misc]simplify: Extracting #6: cost 1 inf + 22406 * * [misc]simplify: Extracting #7: cost 0 inf + 23031 * [exit]simplify: Simplified to (+ (+ (/ (/ -4/3 PI) (pow v 6)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ -4/3 PI) (pow v 6)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (* v v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt 4/3) (sqrt (/ 1 PI))) (+ (* 2/3 (* (/ (pow v 4) (sqrt 4/3)) (sqrt (/ 1 PI)))) (* 2/3 (* (/ (pow v 2) (sqrt 4/3)) (sqrt (/ 1 PI)))))) (* 2/9 (* (/ (pow v 4) (pow (sqrt 4/3) 3)) (sqrt (/ 1 PI))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 124 inf + 3 * * [misc]simplify: Extracting #3: cost 135 inf + 127 * * [misc]simplify: Extracting #4: cost 122 inf + 1073 * * [misc]simplify: Extracting #5: cost 40 inf + 25235 * * [misc]simplify: Extracting #6: cost 3 inf + 43453 * * [misc]simplify: Extracting #7: cost 0 inf + 45224 * * [misc]simplify: Extracting #8: cost 0 inf + 45144 * [exit]simplify: Simplified to (fma (sqrt (/ 1 PI)) (sqrt 4/3) (* (sqrt (/ 1 PI)) (- (* 2/3 (+ (/ (pow v 4) (sqrt 4/3)) (/ (* v v) (sqrt 4/3)))) (* 1/6 (/ (pow v 4) (sqrt 4/3)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (fma (sqrt (/ 1 PI)) (sqrt 4/3) (* (sqrt (/ 1 PI)) (- (* 2/3 (+ (/ (pow v 4) (sqrt 4/3)) (/ (* v v) (sqrt 4/3)))) (* 1/6 (/ (pow v 4) (sqrt 4/3))))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sqrt (/ -4/3 PI)) v) (+ (* 2/3 (/ 1 (* (pow v 3) (* (sqrt (/ -4/3 PI)) PI)))) (+ (* 2/9 (/ 1 (* (pow v 5) (* (pow (sqrt (/ -4/3 PI)) 3) (pow PI 2))))) (* 2/3 (/ 1 (* (pow v 5) (* (sqrt (/ -4/3 PI)) PI))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 206 inf + 2 * * [misc]simplify: Extracting #3: cost 269 inf + 340 * * [misc]simplify: Extracting #4: cost 250 inf + 3614 * * [misc]simplify: Extracting #5: cost 181 inf + 17889 * * [misc]simplify: Extracting #6: cost 38 inf + 73892 * * [misc]simplify: Extracting #7: cost 0 inf + 95145 * [exit]simplify: Simplified to (- (/ (sqrt (/ -4/3 PI)) v) (fma (/ 2/3 PI) (/ (/ (/ (/ 1 v) v) v) (sqrt (/ -4/3 PI))) (* (/ (/ 1 (pow v 5)) (sqrt (/ -4/3 PI))) (+ (/ (* -1/6 PI) (* PI PI)) (/ 2/3 PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (- (/ (sqrt (/ -4/3 PI)) v) (fma (/ 2/3 PI) (/ (/ (/ (/ 1 v) v) v) (sqrt (/ -4/3 PI))) (* (/ (/ 1 (pow v 5)) (sqrt (/ -4/3 PI))) (+ (/ (* -1/6 PI) (* PI PI)) (/ 2/3 PI)))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (/ 1 (* (pow v 3) (* (sqrt (/ -4/3 PI)) PI)))) (+ (* 2/9 (/ 1 (* (pow v 5) (* (pow (sqrt (/ -4/3 PI)) 3) (pow PI 2))))) (* 2/3 (/ 1 (* (pow v 5) (* (sqrt (/ -4/3 PI)) PI)))))) (/ (sqrt (/ -4/3 PI)) v)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 44 inf + 0 * * [misc]simplify: Extracting #2: cost 189 inf + 2 * * [misc]simplify: Extracting #3: cost 229 inf + 503 * * [misc]simplify: Extracting #4: cost 207 inf + 3124 * * [misc]simplify: Extracting #5: cost 154 inf + 15020 * * [misc]simplify: Extracting #6: cost 29 inf + 62154 * * [misc]simplify: Extracting #7: cost 0 inf + 74666 * * [misc]simplify: Extracting #8: cost 0 inf + 74641 * [exit]simplify: Simplified to (fma (/ 2/3 (sqrt (/ -4/3 PI))) (/ 1 (* (pow v 5) PI)) (fma (/ (* -1/6 PI) (* PI (sqrt (/ -4/3 PI)))) (/ 1 (* (pow v 5) PI)) (- (/ (/ (/ (/ 2/3 v) v) v) (* PI (sqrt (/ -4/3 PI)))) (/ (sqrt (/ -4/3 PI)) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (fma (/ 2/3 (sqrt (/ -4/3 PI))) (/ 1 (* (pow v 5) PI)) (fma (/ (* -1/6 PI) (* PI (sqrt (/ -4/3 PI)))) (/ 1 (* (pow v 5) PI)) (- (/ (/ (/ (/ 2/3 v) v) v) (* PI (sqrt (/ -4/3 PI)))) (/ (sqrt (/ -4/3 PI)) v))))) (sqrt (fma -6 (* v v) 2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v)))))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 2 * * [misc]simplify: Extracting #5: cost 7 inf + 281 * * [misc]simplify: Extracting #6: cost 7 inf + 282 * * [misc]simplify: Extracting #7: cost 6 inf + 324 * * [misc]simplify: Extracting #8: cost 4 inf + 528 * * [misc]simplify: Extracting #9: cost 2 inf + 894 * * [misc]simplify: Extracting #10: cost 0 inf + 1557 * [exit]simplify: Simplified to (/ (* (sqrt (/ 4/3 (- PI (* v (* v PI))))) (sqrt (/ 4/3 (- PI (* v (* v PI)))))) (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 4039 additional inputs, on iter 1 have 3961 / 8000 * * * * [misc]points: Computing exacts on every 252 of 4039 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 126 of 4039 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 63 of 4039 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 4039 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 4039 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 4039 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 4039 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4039 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 2100 additional inputs, on iter 2 have 5900 / 8000 * * * * [misc]points: Computing exacts on every 131 of 2100 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 65 of 2100 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 32 of 2100 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 16 of 2100 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 2100 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 2100 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 2100 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2100 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 1081 additional inputs, on iter 3 have 6919 / 8000 * * * * [misc]points: Computing exacts on every 67 of 1081 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 33 of 1081 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 16 of 1081 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 1081 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 1081 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 1081 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1081 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 559 additional inputs, on iter 4 have 7441 / 8000 * * * * [misc]points: Computing exacts on every 34 of 559 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 17 of 559 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 559 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 559 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 559 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 559 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 268 additional inputs, on iter 5 have 7732 / 8000 * * * * [misc]points: Computing exacts on every 16 of 268 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 268 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 268 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 268 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 268 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 131 additional inputs, on iter 6 have 7869 / 8000 * * * * [misc]points: Computing exacts on every 8 of 131 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 131 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 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 131 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 56 additional inputs, on iter 7 have 7944 / 8000 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 56 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 36 additional inputs, on iter 8 have 7964 / 8000 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 36 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 19 additional inputs, on iter 9 have 7981 / 8000 * * * * [misc]points: Computing exacts for 19 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 10 have 7990 / 8000 * * * * [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 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7999 / 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