14617 calls:
| 5.5s | (/ (* (* (* (* 3 c) (* 3 c)) (* 3 c)) (* (* a a) a)) (* (* (* (* 3 3) 3) (* (* a a) a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 5.4s | (/ (/ (* (* (* c (* 3 a)) (* c (* 3 a))) (* c (* 3 a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (- b) (sqrt (- (* b b) (* c (* 3 a))))) (- (- b) (sqrt (- (* b b) (* c (* 3 a)))))) (- (- b) (sqrt (- (* b b) (* c (* 3 a))))))) |
| 4.5s | (/ (* (* (* (* 3 3) 3) (* (* c c) c)) (* (* a a) 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))))))) |
| 4.4s | (/ (/ (* (* (* c c) c) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* 3 3) 3) (* (* a a) a))) (* (* (- (- b) (sqrt (- (* b b) (* c (* 3 a))))) (- (- b) (sqrt (- (* b b) (* c (* 3 a)))))) (- (- b) (sqrt (- (* b b) (* c (* 3 a))))))) |
| 3.8s | (/ (* (* (* 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))))))) |
| 69× | intervals |
| 8.2m | 76577× | body | 10240 | exit |
| 52.1s | 29887× | body | 1280 | valid |
| 25.5s | 188321× | body | 80 | valid |
| 22.8s | 22814× | body | 640 | valid |
| 19.8s | 150403× | body | 80 | nan |
| 13.2s | 24310× | body | 320 | valid |
| 12.8s | 34437× | body | 160 | valid |
| 9.7s | 150289× | pre | 80 | true |
| 2.1s | 1965× | body | 2560 | valid |
| 2.0s | 7886× | body | 160 | nan |
| 1.2s | 4102× | pre | 10240 | exit |
| 134.0ms | 110× | body | 5120 | valid |
415 calls:
| 975.0ms | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) R) |
| 648.0ms | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) (* (sqrt (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) R)) |
| 645.0ms | (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a)) |
| 603.0ms | (cbrt a) |
| 597.0ms | (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a) |
Total 21.8b remaining (9.9%)
| 5.2b | 53% | Quotient of products |
| 3.0b | 0% | Quadratic roots, medium range |
| 2.1b | 0% | 2-ancestry mixing, positive discriminant |
| 1.9b | 0% | Cubic critical, wide range |
| 1.9b | 91.6% | Cubic critical |
| 125× | rewrite-expression-head |
415 calls:
| 269.0ms | (cbrt (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))) |
| 188.0ms | (/ (/ (+ (- (sqrt (fma (* c -3) a (* b b))) b) (+ (- b) b)) 3) a) |
| 187.0ms | (* (- (/ m (/ v (- 1 m))) 1) m) |
| 178.0ms | (/ (+ (- (sqrt (fma (* c -3) a (* b b))) b) (+ (- b) b)) 3) |
| 160.0ms | (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))) |
| 18559× | times-frac |
| 14622× | *-un-lft-identity |
| 13477× | add-sqr-sqrt |
| 10880× | add-cube-cbrt |
| 6919× | prod-diff |
| 2241× | sqrt-prod |
| 1538× | add-exp-log |
| 1348× | add-cbrt-cube |
| 1194× | difference-of-squares |
| 1091× | pow1 |
| 1005× | distribute-lft-out |
| 927× | div-inv |
| 778× | cbrt-prod |
| 683× | distribute-lft-out-- |
| 588× | associate-*r* |
| 579× | add-log-exp |
| 537× | associate-/r/ |
| 457× | associate-/l* |
| 433× | distribute-lft-in distribute-rgt-in |
| 432× | fma-neg |
| 421× | expm1-log1p-u |
| 418× | log1p-expm1-u |
| 415× | insert-posit16 |
| 412× | associate-*l* |
| 386× | associate-/r* |
| 384× | prod-exp |
| 338× | cbrt-unprod |
| 332× | div-exp |
| 314× | flip-+ |
| 313× | flip3-+ |
| 298× | difference-of-sqr-1 |
| 271× | flip-- |
| 270× | flip3-- |
| 267× | frac-times |
| 263× | cbrt-undiv |
| 239× | distribute-rgt-neg-in |
| 206× | pow-prod-down |
| 205× | cbrt-div |
| 189× | distribute-lft-neg-in |
| 157× | associate-*l/ |
| 143× | associate-*r/ |
| 138× | fma-def |
| 128× | unswap-sqr |
| 98× | pow-prod-up |
| 91× | *-commutative |
| 89× | frac-2neg clear-num |
| 88× | swap-sqr |
| 86× | log-prod sub-neg |
| 74× | fma-udef |
| 66× | pow-plus |
| 65× | associate-/l/ |
| 63× | neg-mul-1 |
| 62× | tan-quot |
| 61× | log-pow |
| 59× | diff-log |
| 56× | pow-sqr |
| 54× | frac-add |
| 49× | sqrt-pow1 pow1/2 |
| 48× | exp-prod |
| 40× | pow2 pow1/3 |
| 33× | sin-sum |
| 32× | div-sub rem-sqrt-square sin-mult |
| 30× | 1-exp rec-exp |
| 29× | cos-sum |
| 26× | sum-log |
| 25× | exp-sum pow-pow |
| 24× | sqrt-div |
| 23× | +-commutative |
| 22× | expm1-def |
| 16× | pow-flip |
| 13× | inv-pow log-div |
| 12× | pow3 acos-asin |
| 10× | pow-unpow rem-log-exp log1p-udef |
| 9× | associate-+l- |
| 8× | pow-exp |
| 7× | neg-sub0 rem-cbrt-cube |
| 6× | expm1-log1p exp-diff distribute-frac-neg log1p-expm1 associate--r+ acos-neg |
| 5× | expm1-udef unpow-prod-down |
| 4× | frac-sub log1p-def associate--l+ distribute-rgt-out-- rem-exp-log distribute-rgt-out |
| 3× | unpow-prod-up sqr-pow neg-log un-div-inv pow-to-exp |
| 2× | associate-+r- sqrt-unprod rem-square-sqrt cos-diff unpow1/3 associate--r- |
| 1× | associate-+l+ remove-posit16 cos-mult distribute-rgt1-in cube-unmult tanh-undef tanh-def hypot-udef asin-acos sub-div sin-diff e-exp-1 |