* [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 (87 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma (* v v) (- 6) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* v v) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* v v) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* v v) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* v v) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* v v) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* v v) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* v v) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* v v) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 -6))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 v) (/ 1 v)) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 v) (/ 1 v)) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 v) (/ 1 v)) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 v) (/ 1 v)) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* v v) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* v v) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* v v) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* v v) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* v v) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* v v) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* v v) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* v v) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 -6))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 v) (/ 1 v)) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 v) (/ 1 v)) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 v) (/ 1 v)) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 v) (/ 1 v)) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 v) (/ 1 v)) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2)) in v * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- v)) (/ 1 (- v))) (- 6) 2) in v * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) 2) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (- 6)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 6) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (* 1 -6) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 5 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 8 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 13 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 14 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 15 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 16 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 17 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 18 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 19 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 20 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 21 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 22 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 23 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 24 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 28 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 29 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 30 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 31 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 32 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 35 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 36 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (fabs (cbrt (fma (* v v) (- 6) 2))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 46 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (sqrt (fma (* v v) (- 6) 2))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 47 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt 1) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 48 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* v v) (- 6) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) (- 6) 2)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fabs (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 50 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 55 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 56 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (fma (* v v) (- 6) 2)) (sqrt (fma (* v v) (- 6) 2))) (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (* (sqrt (fma (* v v) (- 6) 2)) (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (* (sqrt (fma (* v v) (- 6) 2)) (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 59 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (fma (* v v) (- 6) 2)) (sqrt (fma (* v v) (- 6) 2))) (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) 3) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) 3))) * * * * [misc]progress: [ 60 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 65 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 66 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 67 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 68 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 69 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 70 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 71 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 72 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 73 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 74 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 75 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 76 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 77 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 78 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 79 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 80 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 81 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 82 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 83 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 84 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 85 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 86 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 87 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 88 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 89 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 90 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 91 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (cbrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 92 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 93 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 94 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 95 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 96 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 97 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 98 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 99 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 100 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 101 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 102 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 103 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 104 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 105 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 106 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 107 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 108 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 109 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (sqrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 110 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 111 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (* (sqrt (fma (- 6) (* v v) 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 112 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 113 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 114 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (sqrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 115 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 116 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (sqrt (sqrt (fma (* v v) (- 6) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 117 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 118 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 119 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 120 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 121 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 122 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 123 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 PI) (sqrt (fma (- 6) (* v v) 2))) (* 3 (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 124 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 125 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 126 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 127 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 128 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 129 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 130 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (fma (- 6) (* v v) 2)))) (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (fma (- 6) (* v v) 2)))) (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 131 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (fabs (cbrt (fma (- 6) (* v v) 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 132 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 133 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))))) * * * * [misc]progress: [ 134 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 135 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))))) * * * * [misc]progress: [ 136 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 137 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 138 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 139 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ 1 (sqrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))))) * * * * [misc]progress: [ 140 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 141 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (- 1 (* v v)))) (* (sqrt (fma (- 6) (* v v) 2)) (* 3 PI))))) * * * * [misc]progress: [ 142 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (cbrt (sqrt (fma (- 6) (* v v) 2))) (cbrt (sqrt (fma (- 6) (* v v) 2))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 143 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 144 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 145 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 146 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (fma (- 6) (* v v) 2)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 147 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 148 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 149 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 150 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 151 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 152 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 153 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 154 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 155 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 156 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 157 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) PI) (/ (/ 1 (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 158 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 159 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 160 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (fma (* (* v (- v)) (* (* v v) (* v v))) (* 3 PI) (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (fma (* (* v (- v)) (* (* v v) (* v v))) (* 3 PI) (* 3 PI)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (fma (* v v) (fma v v 1) 1) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 161 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (* (* v v) (* v v)) (* v (- v)) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (* (* v v) (* v v)) (* v (- v)) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (* (* v v) (* v v)) (* v (- v)) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 162 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 163 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (fma (fma v v 1) (* v v) 1) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (fma (fma v v 1) (* v v) 1) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 164 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (* (- v) v) (* (* v v) (* v v)) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * * * * [misc]progress: [ 165 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (fma (fma v v 1) (* v v) 1) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) (/ (fma (fma v v 1) (* v v) 1) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 166 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (fma (* 3 PI) (* (- v) (pow v 3)) (* 3 PI)) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (fma (* 3 PI) (* (- v) (pow v 3)) (* 3 PI)) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (+ 1 (* v v)) (cbrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (cbrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (fma (* v v) (- 6) 2)))) (* (fma (* 3 PI) (* (- v) (pow v 3)) (* 3 PI)) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (/ (fma v v 1) (cbrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 167 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (- v) (pow v 3) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (- v) (pow v 3) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (cbrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (- v) (pow v 3) 1)) (fabs (cbrt (fma (* v v) (- 6) 2)))) (/ (fma v v 1) (sqrt (cbrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 168 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 169 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (- (sqrt 1)) (* (* v v) (* v v)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fma (- (sqrt 1)) (* (* v v) (* v v)) (sqrt 1))) (/ (+ 1 (* v v)) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fma (- (sqrt 1)) (* (* v v) (* v v)) (sqrt 1))) (/ (fma v v 1) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 170 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma (* v v) (- 6) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (- 6) (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (- 6) (* v v) 2)))))) * * * * [misc]progress: [ 171 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (fma (- v) (pow v 3) 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) PI) (fma (- v) (pow v 3) 1)) (/ (+ 1 (* v v)) (sqrt (fma (* v v) (- 6) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (- 6) (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) PI) (fma (- v) (pow v 3) 1)) (/ (fma v v 1) (sqrt (fma (- 6) (* v v) 2))))) * * * * [misc]progress: [ 172 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (fma (* v v) (- 6) 2))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) (cbrt (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 176 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (fma (* v v) (- 6) 2)) (cbrt (fma (* v v) (- 6) 2))))) (sqrt (cbrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 177 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 178 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* v v) (- 6) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) (- 6) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 179 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) (- 6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) (- 6) 2)))) (sqrt (sqrt (fma (* v v) (- 6) 2))))) * * * * [misc]progress: [ 180 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* v v) (- 6) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) (- 6) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 181 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (fma (* v v) (- 6) 2)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 182 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (fma (* v v) (- 6) 2)) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 183 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 184 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 185 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 186 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 187 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 188 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 189 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 190 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 191 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 192 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 193 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4 (/ (sqrt (fma (* v v) (- 6) 2)) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 195 / 208 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (/ (sqrt (fma (* v v) (- 6) 2)) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 197 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (- (* v v)) (* (* v v) (* v v)) 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (fma (- (* v v)) (* (* v v) (* v v)) 1)) (/ (sqrt (fma (* v v) (- 6) 2)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 198 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (/ (sqrt (fma (* v v) (- 6) 2)) (+ 1 (* v v))))) * * * * [misc]progress: [ 199 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (* (sqrt (fma (* v v) (- 6) 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 200 / 208 ] 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 (108 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 201 / 208 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 202 / 208 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 203 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (- (fma (/ (- 9/2) 2) (/ (pow v 4) (sqrt 2)) (sqrt 2)) (* (/ (* v v) (sqrt 2)) 3)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (fma (/ (- 9/2) 2) (/ (pow v 4) (sqrt 2)) (sqrt 2)) (* (/ (* v v) (sqrt 2)) 3)))) * * * * [misc]progress: [ 204 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (- (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6))) (/ (/ 1/2 (sqrt -6)) (* (* -6 v) (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6))) (/ (/ 1/2 (sqrt -6)) (* (* -6 v) (* v v)))))) * * * * [misc]progress: [ 205 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 -6) (* v v)) (* (sqrt -6) v)) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 -6) (* v v)) (* (sqrt -6) v)) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * * [misc]progress: [ 206 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (fma (/ (/ (pow v 4) (pow (sqrt 2) 5)) PI) 18 (* (/ v (/ PI v)) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ (/ 4 2) (sqrt 2)) (/ (pow v 4) PI) (/ (/ 4/3 (sqrt 2)) PI)))) * [misc]simplify: Simplified (2) to (λ (v) (+ (fma (/ (/ (pow v 4) (pow (sqrt 2) 5)) PI) 18 (* (/ v (/ PI v)) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ (/ 4 2) (sqrt 2)) (/ (pow v 4) PI) (/ (/ 4/3 (sqrt 2)) PI))))) * * * * [misc]progress: [ 207 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (- (+ (- (/ (/ 4/3 (pow v 7)) (* (* PI -6) (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (/ (/ 4/3 (pow v 5)) (* (* PI -6) (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (- (/ (/ 4/3 (pow v 7)) (* (* PI -6) (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (/ (/ 4/3 (pow v 5)) (* (* PI -6) (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 208 / 208 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ 2 (* (* PI (pow v 7)) (pow (sqrt -6) 5)))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ 2 (* (* PI (pow v 7)) (pow (sqrt -6) 5)))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * * * [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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (* (/ 4/3 PI) (/ 4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (/ 16/9 (pow PI 2)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) 0) (* 0 (/ 4/3 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 4/3 (/ 1 PI)) (/ 4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 32/9 (/ 1 (pow PI 2))) into (/ 32/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) 0) (+ (* 0 (* 4/3 (/ 1 PI))) (+ (* (* 4/3 (/ 1 PI)) 0) (* 0 (/ 4/3 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (* 4/3 (/ 1 PI))) (+ (* 0 0) (+ (* (* 4/3 (/ 1 PI)) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 4/3 (/ 1 PI)) (/ 4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 16/3 (/ 1 (pow PI 2))) into (/ 16/3 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (/ 16/3 (pow PI 2)) (pow v 4)) (+ (* (/ 32/9 (pow PI 2)) (pow v 2)) (/ 16/9 (pow PI 2)))) into (+ (* 16/3 (/ (pow v 4) (pow PI 2))) (+ (* 32/9 (/ (pow v 2) (pow PI 2))) (* 16/9 (/ 1 (pow PI 2))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (/ 16/9 (pow PI 2)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 32/9 (/ 1 (pow PI 2))) into (/ 32/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (- (* 4/3 (/ 1 PI))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 PI))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 16/3 (/ 1 (pow PI 2))) into (/ 16/3 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (/ 16/3 (pow PI 2)) (pow (/ 1 v) 8)) (+ (* (/ 32/9 (pow PI 2)) (pow (/ 1 v) 6)) (* (/ 16/9 (pow PI 2)) (pow (/ 1 v) 4)))) into (+ (* 32/9 (/ 1 (* (pow v 6) (pow PI 2)))) (+ (* 16/9 (/ 1 (* (pow v 4) (pow PI 2)))) (* 16/3 (/ 1 (* (pow v 8) (pow PI 2)))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (/ 16/9 (pow PI 2)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 32/9 (/ 1 (pow PI 2))) into (/ 32/9 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (- (* 4/3 (/ 1 PI))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 PI))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (* 16/3 (/ 1 (pow PI 2))) into (/ 16/3 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (/ 16/3 (pow PI 2)) (pow (/ 1 (- v)) 8)) (+ (* (/ 32/9 (pow PI 2)) (pow (/ 1 (- v)) 6)) (* (/ 16/9 (pow PI 2)) (pow (/ 1 (- v)) 4)))) into (+ (* 32/9 (/ 1 (* (pow v 6) (pow PI 2)))) (+ (* 16/9 (/ 1 (* (pow v 4) (pow PI 2)))) (* 16/3 (/ 1 (* (pow v 8) (pow PI 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (* (/ 4/3 PI) (/ 4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ 4/3 PI)) into (/ 64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ 64/27 (pow PI 3))) into (log (/ 64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 64/27 (pow PI 3)))) into (* 1/3 (log (/ 64/27 (pow PI 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) into (pow (/ 64/27 (pow PI 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (* (/ 4/3 PI) (/ 4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ 4/3 PI)) into (/ 64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ 64/27 (pow PI 3))) into (log (/ 64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 64/27 (pow PI 3)))) into (* 1/3 (log (/ 64/27 (pow PI 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) into (pow (/ 64/27 (pow PI 3)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 64/27 (pow PI 3)) 1/3) into (pow (/ 64/27 (pow PI 3)) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) 0) (* 0 (/ 4/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (* 0 (/ 4/3 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 64/27 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 64/27 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 4/3 (/ 1 PI)) (/ 4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 32/9 (/ 1 (pow PI 2))) (/ 4/3 PI)))) into (* 64/9 (/ 1 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 64/9 (/ 1 (pow PI 3)))) 1)) (pow (/ 64/27 (pow PI 3)) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (log (/ 64/27 (pow PI 3)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (* (pow 64/27 1/3) (/ 1 PI)) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) 0) (+ (* 0 (* 4/3 (/ 1 PI))) (+ (* (* 4/3 (/ 1 PI)) 0) (* 0 (/ 4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (+ (* 0 (* 4/3 (/ 1 PI))) (+ (* (* 32/9 (/ 1 (pow PI 2))) 0) (* 0 (/ 4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 64/27 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 64/9 (/ 1 (pow PI 3)))) 1)) (pow (/ 64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 64/27 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (log (/ 64/27 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (* 4/3 (/ 1 PI))) (+ (* 0 0) (+ (* (* 4/3 (/ 1 PI)) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 4/3 (/ 1 PI)) (/ 4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (* 4/3 (/ 1 PI))) (+ (* 0 0) (+ (* (* 32/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) (+ (* 0 0) (* (* 16/3 (/ 1 (pow PI 2))) (/ 4/3 PI)))))) into (* 128/9 (/ 1 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 64/27 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 64/9 (/ 1 (pow PI 3)))) 1)) (pow (/ 64/27 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 64/9 (/ 1 (pow PI 3)))) 2)) (pow (/ 64/27 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 128/9 (/ 1 (pow PI 3)))) 1)) (pow (/ 64/27 (pow PI 3)) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (log (/ 64/27 (pow PI 3)))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 64/27 (pow PI 3))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (* (pow 64/27 1/3) (/ 1 PI)) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (* (pow 64/27 1/3) (/ 1 PI)) (pow v 4)) (+ (* (* (pow 64/27 1/3) (/ 1 PI)) (pow v 2)) (pow (/ 64/27 (pow PI 3)) 1/3))) into (+ (pow (/ 64/27 (pow PI 3)) 1/3) (+ (* (/ (pow v 2) PI) (pow 64/27 1/3)) (* (pow 64/27 1/3) (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ -4/3 PI)) into (/ -64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ -64/27 (pow PI 3))) into (log (/ -64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) into (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ -4/3 PI)) into (/ -64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ -64/27 (pow PI 3))) into (log (/ -64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) into (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (* 32/9 (/ 1 (pow PI 2))) (/ -4/3 PI)))) into (- (* 64/9 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (- (* 4/3 (/ 1 PI))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (* 32/9 (/ 1 (pow PI 2))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -64/27 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 PI))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (* 32/9 (/ 1 (pow PI 2))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (* 16/3 (/ 1 (pow PI 2))) (/ -4/3 PI)))))) into (- (* 128/9 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -64/27 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 2)) (pow (/ -64/27 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 128/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow (/ 1 v) 4)) (+ (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))))) into (+ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (+ (/ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow v 4)) (/ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ -4/3 PI)) into (/ -64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ -64/27 (pow PI 3))) into (log (/ -64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) into (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (* (/ -4/3 PI) (/ -4/3 PI)) into (/ 16/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (/ 16/9 (pow PI 2)) (/ -4/3 PI)) into (/ -64/27 (pow PI 3)) * [misc]backup-simplify: Simplify (log (/ -64/27 (pow PI 3))) into (log (/ -64/27 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) into (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (* 0 (/ -4/3 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))) into (* 32/9 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (* 32/9 (/ 1 (pow PI 2))) (/ -4/3 PI)))) into (- (* 64/9 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (- (* 4/3 (/ 1 PI))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) 0) (+ (* 0 (- (* 4/3 (/ 1 PI)))) (+ (* (* 32/9 (/ 1 (pow PI 2))) 0) (* 0 (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -64/27 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 PI))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 PI))) (/ -4/3 PI)))))) into (* 16/3 (/ 1 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (/ 16/9 (pow PI 2)) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (+ (* (* 32/9 (/ 1 (pow PI 2))) (- (* 4/3 (/ 1 PI)))) (+ (* 0 0) (* (* 16/3 (/ 1 (pow PI 2))) (/ -4/3 PI)))))) into (- (* 128/9 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -64/27 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 64/9 (/ 1 (pow PI 3))))) 2)) (pow (/ -64/27 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -64/27 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 128/9 (/ 1 (pow PI 3))))) 1)) (pow (/ -64/27 (pow PI 3)) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* (- -6) (log v)) (log (/ -64/27 (pow PI 3)))) into (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v)))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) into (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log v))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 (- v))))))) (pow (/ 1 (- v)) 4)) (+ (* (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 (- v))))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 (- v))))))))) into (+ (/ (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))) (pow v 4)) (+ (/ (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))) (pow v 2)) (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1 1)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) (+ 1 1)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 4 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (pow (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) 1) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 5 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1 1)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 7 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (- (log (/ 4 (* PI 3))) (log (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (+ (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (exp (+ (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 9 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (exp (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 10 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (- (log (/ 4 (* PI 3))) (log (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (exp (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 11 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (exp (+ (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 12 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 15 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 16 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 17 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 18 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (* (- 1 (* v v)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (/ (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 22 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 24 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 25 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 26 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 27 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 28 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 29 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 30 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (/ 4 (* PI 3))) 1)) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 31 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 32 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 1 (sqrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 33 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 1 1)) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 34 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 35 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 36 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 1)) (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 37 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 38 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (* PI 3))) (/ 1 (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 39 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) (fma (fma v v 1) (* v v) 1)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 40 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) (fma v v 1)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 41 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 42 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 43 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 44 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (* (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 45 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (* (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 46 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 47 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 48 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ 4 (* 3 PI))) (* (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 49 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 50 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 1 (sqrt (- 1 (* v v)))) (* (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 51 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* 1 (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 52 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 53 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 4 (sqrt (- 1 (* v v)))) (* (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 54 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* 4 (* (/ (/ 1 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 55 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 4 (* 3 PI)) (* (/ 1 (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 57 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (- (* v v)) (* (* v v) (* v v)) 1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (fma (- (* v v)) (* (* v v) (* v v)) 1)) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 58 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (fma (pow v 3) (- v) 1)) (* (+ 1 (* v v)) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 59 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (/ (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (* PI 3))) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 60 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 (* PI 3)) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (* (/ (* (/ 4 (* 3 PI)) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 61 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 69 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (cbrt (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 70 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (* PI 3))) (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))))) (cbrt (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 71 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ 4 (* PI 3)) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 72 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 73 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 74 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ 4 (* PI 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 75 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ 4 (* PI 3)) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (- 1 (* v v)) (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 76 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 79 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 85 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 88 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 93 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 94 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 95 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 96 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 97 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 98 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 99 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 100 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 101 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 102 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 103 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 104 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 108 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 109 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 110 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 111 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 112 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 115 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 116 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 121 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 124 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 129 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 130 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 131 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 132 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 133 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 134 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 135 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 136 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 137 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 138 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 139 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 140 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 144 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 145 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 146 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 147 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 148 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 151 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 152 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 16/3 (/ (pow v 4) (pow PI 2))) (+ (* 32/9 (/ (pow v 2) (pow PI 2))) (* 16/9 (/ 1 (pow PI 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (fma 16/3 (/ (pow v 4) (* PI PI)) (fma 32/9 (* (/ v PI) (/ v PI)) (/ 16/9 (* PI PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (fma 16/3 (/ (pow v 4) (* PI PI)) (fma 32/9 (* (/ v PI) (/ v PI)) (/ 16/9 (* PI PI)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 154 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 32/9 (/ 1 (* (pow v 6) (pow PI 2)))) (+ (* 16/9 (/ 1 (* (pow v 4) (pow PI 2)))) (* 16/3 (/ 1 (* (pow v 8) (pow PI 2)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* PI PI)) (+ (/ 32/9 (pow v 6)) (/ 16/3 (pow v 8))) (/ 16/9 (* (* PI PI) (pow v 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (fma (/ 1 (* PI PI)) (+ (/ 32/9 (pow v 6)) (/ 16/3 (pow v 8))) (/ 16/9 (* (* PI PI) (pow v 4)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 155 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 32/9 (/ 1 (* (pow v 6) (pow PI 2)))) (+ (* 16/9 (/ 1 (* (pow v 4) (pow PI 2)))) (* 16/3 (/ 1 (* (pow v 8) (pow PI 2)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* PI PI)) (+ (/ 32/9 (pow v 6)) (/ 16/3 (pow v 8))) (/ 16/9 (* (* PI PI) (pow v 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (fma (/ 1 (* PI PI)) (+ (/ 32/9 (pow v 6)) (/ 16/3 (pow v 8))) (/ 16/9 (* (* PI PI) (pow v 4)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 156 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 64/27 (pow PI 3)) 1/3) (+ (* (/ (pow v 2) PI) (pow 64/27 1/3)) (* (pow 64/27 1/3) (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (fma (cbrt 64/27) (fma (/ v PI) v (/ (pow v 4) PI)) (cbrt (/ (/ 64/27 PI) (* PI PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (cbrt 64/27) (fma (/ v PI) v (/ (pow v 4) PI)) (cbrt (/ (/ 64/27 PI) (* PI PI)))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 157 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (+ (/ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow v 4)) (/ (exp (* 1/3 (+ (log (/ -64/27 (pow PI 3))) (* 6 (log (/ 1 v)))))) (pow v 2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (pow (/ 1 v) (* 6 1/3)) (cbrt (/ (/ -64/27 PI) (* PI PI))) (fma (/ (cbrt (/ (/ -64/27 PI) (* PI PI))) v) (/ (pow (/ 1 v) (* 6 1/3)) v) (/ (cbrt (/ (/ -64/27 PI) (* PI PI))) (/ (pow v 4) (pow (/ 1 v) (* 6 1/3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (pow (/ 1 v) (* 6 1/3)) (cbrt (/ (/ -64/27 PI) (* PI PI))) (fma (/ (cbrt (/ (/ -64/27 PI) (* PI PI))) v) (/ (pow (/ 1 v) (* 6 1/3)) v) (/ (cbrt (/ (/ -64/27 PI) (* PI PI))) (/ (pow v 4) (pow (/ 1 v) (* 6 1/3)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 158 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))) (pow v 4)) (+ (/ (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))) (pow v 2)) (exp (* 1/3 (+ (* 6 (log (/ -1 v))) (log (/ -64/27 (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (/ -64/27 PI) (* PI PI))) (pow (/ -1 v) (* 1/3 6)) (* (cbrt (/ (/ -64/27 PI) (* PI PI))) (+ (/ (pow (/ -1 v) (* 1/3 6)) (pow v 4)) (/ (pow (/ -1 v) (* 1/3 6)) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (cbrt (/ (/ -64/27 PI) (* PI PI))) (pow (/ -1 v) (* 1/3 6)) (* (cbrt (/ (/ -64/27 PI) (* PI PI))) (+ (/ (pow (/ -1 v) (* 1/3 6)) (pow v 4)) (/ (pow (/ -1 v) (* 1/3 6)) (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 159 / 164 ] 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 (108 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 160 / 164 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 161 / 164 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 162 / 164 ] 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 (108 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fma (/ 4/3 PI) (pow v 4) (fma (* v v) (/ 4/3 PI) (/ 4/3 PI)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 163 / 164 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * * [misc]progress: [ 164 / 164 ] 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 (124 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (cbrt (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (fma (* v v) (- 6) 2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (sqrt (fma (* v v) (- 6) 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