* [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 127 additional inputs, on iter 1 have 129 / 256 * * * * [misc]points: Computing exacts on every 7 of 127 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 127 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 127 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 69 additional inputs, on iter 2 have 187 / 256 * * * * [misc]points: Computing exacts on every 4 of 69 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 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 69 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 46 additional inputs, on iter 3 have 210 / 256 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 46 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 4 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 14 additional inputs, on iter 5 have 242 / 256 * * * * [misc]points: Computing exacts for 14 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 8 additional inputs, on iter 6 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -6 1) (+ (* 0 0) (* 0 0))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -6 1) (+ (* 0 0) (* 0 0))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 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 (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4/3 PI)) (log (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 17 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 20 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 25 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 26 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 27 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 28 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 29 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 30 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 31 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 32 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 33 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 34 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 35 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 36 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 40 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 41 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) 1) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 42 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (cbrt (/ 4/3 PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 43 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4/3 PI)) (/ (- 1 (* v v)) (sqrt (/ 4/3 PI)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 44 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 47 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (fma v v 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 48 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (* -6 v) v 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (fabs (cbrt (fma (* -6 v) v 2))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 58 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (sqrt (sqrt (fma (* v v) -6 2))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 59 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* 1 (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 60 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fabs (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 62 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 67 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 68 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2))) (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ (/ (/ 16/9 PI) PI) (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ (/ (/ 16/9 PI) PI) (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 71 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (* (* (sqrt (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2))) (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) 3) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) 3))) * * * * [misc]progress: [ 72 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 77 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 78 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 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 (70 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 79 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (86 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v v) -6 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 (* v v) -6 2))))) * * * * [misc]progress: [ 80 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 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 (70 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 81 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (109 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v v) -6 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 (* v v) -6 2))))) * * * * [misc]progress: [ 82 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 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) (- 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)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 83 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 84 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 85 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (63 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v v) -6 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 (* v v) -6 2))))) * * * * [misc]progress: [ 86 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 87 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v v) -6 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 (* v v) -6 2))))) * * * * [misc]progress: [ 88 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 89 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (fabs (cbrt (fma (* -6 v) v 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)))) (/ (fabs (cbrt (fma (* -6 v) v 2))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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)))) (/ (fabs (cbrt (fma (* -6 v) v 2))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 90 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 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))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 91 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (350 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 92 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 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))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 93 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (338 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 94 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (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) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (cbrt (sqrt (fma (* -6 v) v 2))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 95 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (65 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (76 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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: [ 96 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 97 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 98 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 99 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (164 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 100 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (220 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 (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 101 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 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))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 102 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (236 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 (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 103 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (55 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 (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 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))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 104 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (236 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 (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 105 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 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 (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 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))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 106 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 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 -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 107 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 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 -6) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 -6) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 108 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 109 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 110 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 111 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 112 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 113 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (43 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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: [ 114 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 115 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 116 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 117 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (fma (* v -6) v 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 -6) v 2))))) * * * * [misc]progress: [ 118 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (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)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 119 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 120 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 121 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 122 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 123 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 124 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 125 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 126 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 127 / 221 ] 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 (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)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 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: [ 128 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 129 / 221 ] 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)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 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: [ 130 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (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) (* (/ (/ 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)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 131 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 132 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) 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)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 133 / 221 ] 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 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 134 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) 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)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 135 / 221 ] 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)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 136 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 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))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 137 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 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)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 138 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 139 / 221 ] 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 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))))) * * * * [misc]progress: [ 140 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 141 / 221 ] 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 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))))) * * * * [misc]progress: [ 142 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 143 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) -6 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) -6 2))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (fabs (cbrt (fma (* v v) -6 2))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 144 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 145 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (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 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (cbrt (- 1 (* v v))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (cbrt (- 1 (* v v))) PI)))) * * * * [misc]progress: [ 146 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 147 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (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 (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (cbrt (- 1 (* v v))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (cbrt (- 1 (* v v))) PI)))) * * * * [misc]progress: [ 148 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (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) (* (/ (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 149 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 150 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 151 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (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 (27 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (sqrt (- 1 (* v v))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (sqrt (- 1 (* v v))) PI)))) * * * * [misc]progress: [ 152 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 153 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (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 (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (sqrt (- 1 (* v v))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (fma (* v v) -6 2))) (* (sqrt (- 1 (* v v))) PI)))) * * * * [misc]progress: [ 154 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 155 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 4/3 (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 156 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 157 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 158 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 159 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 160 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 161 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 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)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 162 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 163 / 221 ] 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 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))))) * * * * [misc]progress: [ 164 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v -6) 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 (* v -6) v 2)))))) * * * * [misc]progress: [ 165 / 221 ] 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 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))))) * * * * [misc]progress: [ 166 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* -6 v) v 2)))) (cbrt (sqrt (fma (* -6 v) v 2)))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 167 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 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 -6 (* v v) 2)))))) * * * * [misc]progress: [ 168 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 169 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 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 -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (181 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: [ 170 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 171 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 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 -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (181 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: [ 172 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (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) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (fma (* v v) -6 2)))) (cbrt (sqrt (fma (* v v) -6 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (fma (* v v) (fma v v 1) 1) (cbrt (sqrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 173 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (- 1 (pow v 6))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (cbrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 174 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 175 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 176 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (sqrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 177 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 178 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (fma (* v -6) v 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* v -6) v 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (+ 1 (* v v)) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* v -6) v 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (fma v v 1) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 179 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (fma v v 1) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 180 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 181 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (fma v v 1) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 182 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 183 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (fma v v 1) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 184 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 186 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (cbrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 188 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) (sqrt (cbrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 189 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) (sqrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 190 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt 1)) (sqrt (fma (* v v) -6 2)))) * * * * [misc]progress: [ 191 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) (sqrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 192 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) 1) (sqrt (fma (* v v) -6 2)))) * * * * [misc]progress: [ 193 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 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 -6 (* v v) 2)) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 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 -6 (* v v) 2)) (sqrt (/ (/ 4/3 PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 195 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (sqrt (fma -6 (* v v) 2)) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 196 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 197 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (sqrt (fma -6 (* v v) 2)) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 198 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 199 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 200 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4/3 PI)) (/ (sqrt (fma -6 (* v v) 2)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 201 / 221 ] 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 -6 (* v v) 2)) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 202 / 221 ] 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 -6 (* v v) 2)) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 203 / 221 ] 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 -6 (* v v) 2)) (/ (/ 4/3 PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 204 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (fma -6 (* v v) 2)) (/ (/ 1 PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 205 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (/ (/ 1 PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 206 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4/3 (/ (sqrt (fma -6 (* v v) 2)) (/ (/ 1 PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 207 / 221 ] simplifiying candidate # * * * * [misc]progress: [ 208 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (/ (sqrt (fma -6 (* v v) 2)) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 209 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (sqrt (fma -6 (* v v) 2)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 210 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (sqrt (fma -6 (* v v) 2)) (+ 1 (* v v))))) * * * * [misc]progress: [ 211 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (* (sqrt (fma -6 (* v v) 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 212 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) * [misc]simplify: Simplified (2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2)))) * * * * [misc]progress: [ 213 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 214 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 215 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 216 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))))) * * * * [misc]progress: [ 217 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * * [misc]progress: [ 218 / 221 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * * [misc]progress: [ 219 / 221 ] 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 (281 enodes) * [exit]simplify: Simplified to (+ (fma (/ (/ (pow v 4) (pow (sqrt 2) 5)) PI) 18 (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ 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)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ 2 (sqrt 2)) (/ (pow v 4) PI) (/ 4/3 (* (sqrt 2) PI)))))) * * * * [misc]progress: [ 220 / 221 ] 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 (281 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (fma 4/3 (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) (+ (/ 2 (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (fma 4/3 (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) (+ (/ 2 (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))))) * * * * [misc]progress: [ 221 / 221 ] 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 (280 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) 4/3 (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (+ (/ (/ 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) (- (+ (fma (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) 4/3 (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (+ (/ (/ 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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -6 1) (+ (* 0 0) (* 0 0))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 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: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* v v) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* v v) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* v v)) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* v v)) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -6 1) (+ (* 0 0) (* 0 0))) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 v) (/ 1 v)) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 v) (/ 1 v))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2)) in v * [misc]taylor: Taking taylor expansion of (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2) in v * [misc]taylor: Rewrote expression to (+ (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) 2) * [misc]taylor: Taking taylor expansion of (* -6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -6 1) into -6 * [misc]backup-simplify: Simplify (+ -6 0) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI 4/3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (- (log 4/3) (log PI)) (log (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 5 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (/ PI 4/3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4/3 PI)) (log (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 6 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ PI 4/3)) (/ 1 (/ PI 4/3))) (/ 1 (/ PI 4/3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (115 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 -6 (* v v) 2)))) * * * * [misc]progress: [ 9 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (55 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 14 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 15 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 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 (/ 1 (/ PI 4/3))) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 16 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 17 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 18 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 19 / 235 ] 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)))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 20 / 235 ] 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)))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 21 / 235 ] 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 22 / 235 ] 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)))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 23 / 235 ] 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)))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 24 / 235 ] 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 25 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4/3 (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ 4/3 (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4/3 (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4/3 (cbrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 26 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ 4/3 (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ 4/3 (sqrt (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 27 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * [enter]simplify: Simplifying (/ 4/3 (- 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 (/ 4/3 (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 28 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 235 ] 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) (/ (/ (/ (/ 1 (/ PI 4/3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 32 / 235 ] 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) (/ (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 33 / 235 ] 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) (/ (/ (/ (/ 1 (/ PI 4/3)) 1) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 34 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 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 (/ 1 (/ PI 4/3))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 35 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4/3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 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 (/ 1 (/ PI 4/3))))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 36 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 1 PI) (/ (- 1 (* v v)) 4/3)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 39 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (fma v v 1) (* v v) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 40 / 235 ] 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) (/ (* (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 41 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (/ PI 4/3))) (log (- 1 (* v v)))) (log (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 46 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 1 (/ PI 4/3))) (log (- 1 (* v v)))) (log (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (fma (* -6 v) v 2)))))) * * * * [misc]progress: [ 47 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (log (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (370 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 48 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 1 (/ PI 4/3)) (/ 1 (/ PI 4/3))) (/ 1 (/ PI 4/3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2))) (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ (* (/ 4/3 PI) (/ 4/3 PI)) (fma (* v -6) v 2)) (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) (/ (/ (* (/ 4/3 PI) (/ 4/3 PI)) (fma (* v -6) v 2)) (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 51 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (* (* (sqrt (fma -6 (* v v) 2)) (sqrt (fma -6 (* v v) 2))) (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) (/ (/ (* (/ 4/3 PI) (/ 4/3 PI)) (- 1 (* v v))) (* (- 1 (* v v)) (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma (* v -6) v 2))) (/ (/ (* (/ 4/3 PI) (/ 4/3 PI)) (- 1 (* v v))) (* (- 1 (* v v)) (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 52 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 57 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (83 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 58 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 59 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (295 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v -6) 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 (* v -6) v 2))))) * * * * [misc]progress: [ 60 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 61 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (302 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v -6) 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 (* v -6) v 2))))) * * * * [misc]progress: [ 62 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 63 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 64 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 65 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (287 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v -6) 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 (* v -6) v 2))))) * * * * [misc]progress: [ 66 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 67 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (286 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (fma (* v -6) 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 (* v -6) v 2))))) * * * * [misc]progress: [ 68 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (329 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 69 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 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)))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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)))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 70 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (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))))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (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: [ 71 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (350 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [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)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 72 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (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))))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (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: [ 73 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (417 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [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)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 74 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (cbrt (sqrt (fma (* -6 v) v 2)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (cbrt (sqrt (fma (* -6 v) v 2)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (cbrt (sqrt (fma (* -6 v) v 2)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 75 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (* -6 v) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 76 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (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)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (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: [ 77 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [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 (68 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (177 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [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 (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 78 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (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)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (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: [ 79 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (158 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [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 (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 80 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (fma (* v -6) v 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 -6) v 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 81 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (84 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 -6) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 82 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 -6) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 83 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 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 (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (203 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)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 84 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 -6) v 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 85 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 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 (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (203 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)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 86 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (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) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (fma -6 (* v v) 2)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (sqrt (fma -6 (* v v) 2)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 87 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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)))) (fabs (cbrt (fma (* -6 v) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 88 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 89 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 90 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 91 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 92 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (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) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (cbrt (sqrt (fma (* -6 v) v 2))))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* -6 v) v 2))) (cbrt (sqrt (fma (* -6 v) v 2))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 93 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 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 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 94 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (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: [ 95 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 96 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 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 (/ 4/3 PI)) (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: [ 97 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 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 (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 98 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 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 (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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: [ 99 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 100 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 101 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (203 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)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 102 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (223 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 (* -6 v) v 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 103 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (203 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)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 104 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 105 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 106 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 107 / 235 ] 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 (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)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 108 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 109 / 235 ] 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)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 110 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (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) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 111 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 112 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 113 / 235 ] 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 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 114 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 115 / 235 ] 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)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 116 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 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))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 117 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 118 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 119 / 235 ] 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 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 120 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 121 / 235 ] 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 122 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 123 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (fabs (cbrt (fma (* v -6) v 2)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 124 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 125 / 235 ] 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 (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)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 126 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 127 / 235 ] 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)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 128 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (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) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 129 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 130 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 131 / 235 ] 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 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 132 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* v -6) v 2)))))) * * * * [misc]progress: [ 133 / 235 ] 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)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (* (sqrt (fma (* v v) -6 2)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 134 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 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))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 135 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 136 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 137 / 235 ] 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 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 138 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 139 / 235 ] 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 140 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 141 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (fma (* v -6) v 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 142 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 143 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 144 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (* (sqrt (sqrt (fma (* v -6) v 2))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 145 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 146 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 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) (* (/ (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma (* v v) -6 2)))) (cbrt (sqrt (fma (* v v) -6 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 147 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 148 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 149 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 150 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 151 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (fma (* -6 v) v 2))) (sqrt (- 1 (* v v)))))) * * * * [misc]progress: [ 152 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (fma (* v v) -6 2)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (fma (* v v) -6 2)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 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)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 153 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (fabs (cbrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 154 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 155 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 156 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 157 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 158 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 159 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 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)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 160 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 161 / 235 ] 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 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 162 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (fma (* v -6) v 2)))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (fma (* v v) -6 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 (* v v) -6 2)))))) * * * * [misc]progress: [ 163 / 235 ] 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (485 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: [ 164 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (fma (* v v) -6 2)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* v v) -6 2)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (fma (* v v) -6 2)))) (* PI (cbrt (sqrt (fma (* v v) -6 2))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 165 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (105 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (fma -6 (* v v) 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 -6 (* v v) 2)))))) * * * * [misc]progress: [ 166 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (126 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 167 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (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 -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (181 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: [ 168 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (126 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 -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 169 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 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 -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (181 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: [ 170 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (- 1 (* (pow v 5) v)))) * [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 (* (pow v 5) v)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (- 1 (* (pow v 5) v)))) (/ (fma (* v v) (fma v v 1) 1) (cbrt (sqrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 171 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* (pow v 5) v))) (fabs (cbrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 5) v))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (- 1 (* (pow v 5) v))) (fabs (cbrt (fma (* -6 v) v 2)))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (cbrt (fma v (* v -6) 2)))))) * * * * [misc]progress: [ 172 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow 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: [ 173 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 174 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (fma (* v v) -6 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (343 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) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow 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: [ 175 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (fma (* v v) (fma v v 1) 1) (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 176 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (- 1 (pow v 4)))) * [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 (pow v 4)))) (/ (+ 1 (* v v)) (cbrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (cbrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (fma (* v v) -6 2)))) (* (cbrt (sqrt (fma (* v v) -6 2))) (- 1 (pow v 4)))) (/ (fma v v 1) (cbrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 177 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (cbrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (fma (* v v) -6 2)))) (/ (fma v v 1) (sqrt (cbrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 178 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 179 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (fma v v 1) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 180 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (fma (* -6 v) v 2)))) (/ (fma v v 1) (sqrt (sqrt (fma (* v v) -6 2)))))) * * * * [misc]progress: [ 181 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (fma v v 1) (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (fma v v 1) (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 182 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 183 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 184 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (cbrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 186 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2))))) (sqrt (cbrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 187 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) (sqrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 188 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt 1)) (sqrt (fma (* v v) -6 2)))) * * * * [misc]progress: [ 189 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (fma -6 (* v v) 2)))) (sqrt (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 190 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) 1) (sqrt (fma (* v v) -6 2)))) * * * * [misc]progress: [ 191 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (286 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 -6 (* v v) 2)) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 192 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (284 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 -6 (* v v) 2)) (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 193 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (55 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 -6 (* v v) 2)) (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 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 -6 (* v v) 2)) (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 195 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 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 -6 (* v v) 2)) (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 196 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 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 -6 (* v v) 2)) (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 197 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 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 -6 (* v v) 2)) (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 198 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4/3 PI)) (/ (sqrt (fma -6 (* v v) 2)) (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 199 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 200 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 201 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 202 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 203 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 204 / 235 ] 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 -6 (* v v) 2)) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 205 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 206 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 207 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 PI) (/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (- 1 (* v v)))))) * * * * [misc]progress: [ 208 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI 4/3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (/ (sqrt (fma -6 (* v v) 2)) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 210 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (sqrt (fma -6 (* v v) 2)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 211 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (sqrt (fma -6 (* v v) 2)) (+ 1 (* v v))))) * * * * [misc]progress: [ 212 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI 4/3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (* (sqrt (fma -6 (* v v) 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 213 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 214 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 215 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 216 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 219 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 220 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 221 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma -6 (* v v) 2)) (cbrt (fma -6 (* v v) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (* -6 v) v 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (fabs (cbrt (fma (* -6 v) v 2))) (sqrt (cbrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 222 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma -6 (* v v) 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (* v v) -6 2))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (sqrt (sqrt (fma (* v v) -6 2))) (sqrt (sqrt (fma -6 (* v v) 2)))))) * * * * [misc]progress: [ 223 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* 1 (sqrt (fma -6 (* v v) 2))))) * * * * [misc]progress: [ 224 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma -6 (* v v) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) -6 2)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (fabs (sqrt (fma (* v v) -6 2))))) * * * * [misc]progress: [ 226 / 235 ] simplifiying candidate # * * * * [misc]progress: [ 227 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (fma (/ 4/3 PI) (* v v) (fma (pow v 4) (/ 4/3 PI) (/ 4/3 PI))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 228 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 229 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* v (* v PI))) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (fma -6 (* v v) 2)))) * * * * [misc]progress: [ 230 / 235 ] 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 (281 enodes) * [exit]simplify: Simplified to (+ (fma (/ (/ (pow v 4) (pow (sqrt 2) 5)) PI) 18 (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ 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)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2))))) (fma (/ 4/3 (sqrt 2)) (/ (pow v 4) PI) (fma (/ 2 (sqrt 2)) (/ (pow v 4) PI) (/ 4/3 (* (sqrt 2) PI)))))) * * * * [misc]progress: [ 231 / 235 ] 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 (281 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (fma 4/3 (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) (+ (/ 2 (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (fma 4/3 (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) (+ (/ 2 (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))))) * * * * [misc]progress: [ 232 / 235 ] 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 (280 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) 4/3 (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (+ (/ (/ 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) (- (+ (fma (/ (/ (/ 1 v) (* v v)) (* PI (sqrt -6))) 4/3 (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (+ (/ (/ 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: [ 233 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (fma (/ (pow v 4) (sqrt 2)) -9/4 (fma -3 (/ (* v v) (sqrt 2)) (sqrt 2))))) * * * * [misc]progress: [ 234 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (fma -1/2 (/ (/ (/ 1 v) (* v v)) (* -6 (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * * [misc]progress: [ 235 / 235 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) v) (* (sqrt -6) (* v -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (v (* v v)) * * * * [misc]regimes: Trying to branch on v from (# #) * * * * [misc]regimes: Trying to branch on (* v v) from (# #) * * * [misc]regime: Found split indices: #