14675 calls:
| 4.7s | (/ (* (* (* 3 3) 3) (* (* (* c c) c) (* (* a a) a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 4.0s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 3.6s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.6s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.3s | (/ (* (* (* c c) c) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* 3 3) 3) (* (* a a) a))) |
| 70× | intervals |
| 8.3m | 76939× | body | 10240 | exit |
| 54.0s | 31686× | body | 1280 | valid |
| 23.7s | 192101× | body | 80 | valid |
| 23.7s | 24201× | body | 640 | valid |
| 21.1s | 148853× | body | 80 | nan |
| 13.3s | 24879× | body | 320 | valid |
| 11.4s | 34792× | body | 160 | valid |
| 10.1s | 149916× | pre | 80 | true |
| 1.9s | 1864× | body | 2560 | valid |
| 1.3s | 7756× | body | 160 | nan |
| 914.0ms | 4175× | pre | 10240 | exit |
| 115.0ms | 101× | body | 5120 | valid |
405 calls:
| 822.0ms | (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) |
| 770.0ms | (fma (sqrt (sqrt (cbrt (* (* (fma c (* -4 a) (* b b)) (fma c (* -4 a) (* b b))) (fma c (* -4 a) (* b b)))))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) |
| 683.0ms | (* (hypot (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi2 phi1) 2))))) (- phi1 phi2)) R) |
| 668.0ms | (cbrt (* (* (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a) (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)) (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a))) |
| 667.0ms | (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a) |
Total 26.7b remaining (15.4%)
| 4.8b | 82.7% | Cubic critical |
| 4.3b | 0% | Cubic critical, medium range |
| 3.6b | 65.9% | Quotient of products |
| 3.1b | 0% | Quadratic roots, medium range |
| 2.6b | 0% | Quadratic roots, wide range |
| 124× | rewrite-expression-head |
405 calls:
| 135.0ms | (* (- (/ (- m (* m m)) v) 1) (- 1 m)) |
| 115.0ms | (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) |
| 102.0ms | (/ (- (* (sqrt (fma b b (* a (* -3 c)))) (fma b b (* a (* -3 c)))) (* b (* b b))) (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b))))) |
| 100.0ms | (* (sqrt (* (* (fma c (* -4 a) (* b b)) (fma c (* -4 a) (* b b))) (fma c (* -4 a) (* b b)))) (sqrt (* (* (fma c (* -4 a) (* b b)) (fma c (* -4 a) (* b b))) (fma c (* -4 a) (* b b))))) |
| 99.0ms | (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) |
| 17589× | times-frac |
| 12835× | *-un-lft-identity |
| 12393× | add-sqr-sqrt |
| 10408× | add-cube-cbrt |
| 5286× | prod-diff |
| 2878× | sqrt-prod |
| 1441× | add-exp-log |
| 1412× | pow1 |
| 1291× | add-cbrt-cube |
| 860× | div-inv |
| 813× | associate-*r* |
| 809× | difference-of-squares |
| 645× | distribute-lft-out |
| 568× | associate-*l* |
| 562× | add-log-exp |
| 527× | associate-/l* |
| 422× | distribute-lft-out-- |
| 410× | expm1-log1p-u |
| 408× | log1p-expm1-u |
| 405× | insert-posit16 |
| 371× | sqrt-pow1 |
| 365× | associate-/r/ |
| 351× | prod-exp |
| 327× | associate-/r* |
| 326× | div-exp |
| 317× | cbrt-prod |
| 316× | distribute-lft-in distribute-rgt-in |
| 315× | pow-prod-up |
| 313× | cbrt-unprod |
| 295× | fma-neg |
| 263× | cbrt-undiv |
| 260× | pow-prod-down |
| 241× | log-prod |
| 209× | pow-plus |
| 184× | unswap-sqr |
| 178× | flip-- |
| 177× | flip3-- |
| 163× | distribute-rgt-neg-in |
| 157× | flip-+ |
| 156× | flip3-+ |
| 151× | difference-of-sqr-1 |
| 144× | fma-def distribute-lft-neg-in |
| 107× | pow-sqr |
| 89× | *-commutative |
| 81× | swap-sqr |
| 77× | fma-udef |
| 76× | associate-*r/ |
| 75× | frac-2neg clear-num |
| 71× | sub-neg |
| 69× | log-pow |
| 67× | pow2 |
| 63× | associate-*l/ |
| 61× | pow1/2 |
| 54× | frac-times |
| 50× | associate-/l/ |
| 49× | diff-log |
| 48× | neg-mul-1 |
| 45× | pow1/3 |
| 40× | cbrt-div |
| 36× | exp-prod |
| 33× | sin-sum 1-exp |
| 32× | sum-log |
| 31× | rem-sqrt-square |
| 27× | sqrt-div |
| 26× | pow3 |
| 25× | +-commutative cos-sum div-sub |
| 22× | exp-sum rem-log-exp log-div |
| 19× | tan-quot |
| 17× | pow-unpow |
| 16× | associate-+l+ rec-exp |
| 10× | unpow-prod-down |
| 9× | neg-sub0 distribute-rgt-out-- associate-+l- |
| 8× | pow-flip inv-pow log1p-udef |
| 7× | cube-unmult |
| 6× | associate-+r+ log1p-expm1 neg-log associate--r- |
| 5× | associate--r+ acos-asin |
| 4× | expm1-log1p expm1-udef cube-prod sin-mult rem-exp-log frac-add expm1-def |
| 3× | pow-exp difference-cubes frac-sub unpow-prod-up associate--l+ sqrt-unprod un-div-inv hypot-udef rem-square-sqrt rem-cbrt-cube |
| 2× | sqr-pow pow-pow pow-to-exp exp-to-pow cos-diff |
| 1× | remove-posit16 exp-diff cos-mult associate-+r- distribute-frac-neg tanh-undef associate--l- tanh-def asin-acos sum-cubes sub-div acos-neg sin-diff e-exp-1 distribute-rgt-out |