| 72× | intervals |
| 7.8m | 79662× | body | 10240 | exit |
| 53.2s | 33355× | body | 1280 | valid |
| 24.9s | 197936× | body | 80 | valid |
| 24.7s | 24257× | body | 640 | valid |
| 20.5s | 152770× | body | 80 | nan |
| 14.8s | 25570× | body | 320 | valid |
| 12.1s | 34650× | body | 160 | valid |
| 9.1s | 153826× | pre | 80 | true |
| 2.9s | 3060× | body | 2560 | valid |
| 1.9s | 7791× | body | 160 | nan |
| 1.1s | 4067× | pre | 10240 | exit |
| 297.0ms | 238× | body | 5120 | valid |
5413 calls:
| 4.5s | (/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 1.6s | (/ (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* (* c a) (* c a)) (* c a))) |
| 1.6s | (/ (* (* (* (* 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)))))) (* (* (* c a) (* c a)) (* c a))) |
| 1.1s | (* (* (* (/ 1 (fma (cos v) e 1)) (/ 1 (fma (cos v) e 1))) (/ 1 (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v))) |
| 1.1s | (* (- (/ (* m (- 1 m)) v) 1) m) |
434 calls:
| 2.8s | (cbrt (* (* (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a) (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)) (/ (/ (/ (* -4 (* a c)) (+ (sqrt (fma c (* -4 a) (* b b))) b)) 2) a))) |
| 1.7s | (cbrt (* (* (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a) (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)) (/ (/ (/ (- (* (sqrt (fma c (* -4 a) (* b b))) (sqrt (fma c (* -4 a) (* b b)))) (* b b)) (+ (sqrt (fma c (* -4 a) (* b b))) b)) 2) a))) |
| 755.0ms | (cbrt (* (* (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a)) (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a))) (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a)))) |
| 665.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
| 620.0ms | (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a)) |
Total 34.5b remaining (11.1%)
| 7.6b | 46.2% | Quadratic roots, narrow range |
| 3.5b | 0% | Cubic critical, medium range |
| 3.4b | 69.5% | Quotient of products |
| 3.2b | 0% | Quadratic roots, medium range |
| 3.0b | 0% | Quadratic roots, wide range |
| 126× | rewrite-expression-head |
434 calls:
| 60.0ms | (* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (cbrt (fma 1/3 (* x x) 2))) x))) |
| 54.0ms | (cbrt (* (* (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a) (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)) (/ (/ (/ (- (* (sqrt (fma c (* -4 a) (* b b))) (sqrt (fma c (* -4 a) (* b b)))) (* b b)) (+ (sqrt (fma c (* -4 a) (* b b))) b)) 2) a))) |
| 48.0ms | (cbrt (* (* (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a) (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)) (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a))) |
| 40.0ms | (+ (- (/ -1 (* (/ -1 x) (/ -1 y))) (fma (/ (/ (/ -1 x) (* (/ -1 x) (/ -1 y))) y) (log1p (exp x)) (/ (/ (/ -1 x) (* (/ -1 x) (/ -1 y))) y))) -1) |
| 40.0ms | (/ (+ (pow x 3) (pow (hypot 1 x) 3)) (+ (* x x) (- (* (hypot 1 x) (hypot 1 x)) (* x (hypot 1 x))))) |
| 1406× | *-un-lft-identity |
| 1364× | add-sqr-sqrt |
| 1263× | add-cube-cbrt |
| 1150× | add-exp-log |
| 694× | pow1 |
| 613× | add-cbrt-cube |
| 538× | add-log-exp |
| 526× | prod-diff |
| 500× | times-frac |
| 444× | expm1-log1p-u |
| 438× | log1p-expm1-u |
| 434× | insert-posit16 |
| 398× | prod-exp |
| 304× | sqrt-prod |
| 293× | associate-/r/ |
| 287× | div-inv |
| 264× | pow-exp |
| 240× | associate-*r* |
| 236× | flip-- |
| 235× | flip3-- |
| 220× | associate-*l* |
| 206× | div-exp |
| 201× | fma-neg |
| 184× | pow-to-exp |
| 181× | associate-/r* |
| 163× | frac-times |
| 155× | associate-*l/ |
| 148× | associate-/l* |
| 119× | flip-+ |
| 118× | flip3-+ associate-*r/ |
| 110× | cbrt-div rec-exp |
| 108× | cbrt-prod |
| 91× | sub-neg |
| 83× | pow-prod-down distribute-rgt-in distribute-lft-in |
| 82× | frac-2neg clear-num |
| 81× | *-commutative |
| 80× | log-prod |
| 74× | fma-udef |
| 71× | pow-prod-up |
| 70× | fma-def |
| 68× | cbrt-unprod |
| 60× | tan-quot |
| 51× | distribute-lft-out |
| 50× | sqrt-div |
| 48× | pow1/2 |
| 47× | pow1/3 |
| 46× | associate-/l/ |
| 45× | diff-log |
| 41× | frac-sub |
| 40× | difference-of-squares |
| 38× | cbrt-undiv |
| 35× | pow-plus |
| 34× | rem-sqrt-square |
| 33× | log1p-udef |
| 32× | pow-flip inv-pow |
| 30× | neg-mul-1 |
| 29× | pow2 |
| 25× | distribute-lft-out-- |
| 24× | associate-+l+ |
| 23× | div-sub log-div |
| 21× | +-commutative |
| 20× | log-pow |
| 18× | exp-prod |
| 16× | sum-log |
| 15× | frac-add |
| 14× | log1p-expm1 un-div-inv |
| 13× | difference-of-sqr-1 |
| 12× | tanh-def unpow-prod-down |
| 11× | rem-log-exp |
| 9× | acos-asin expm1-def |
| 8× | expm1-log1p expm1-udef sum-cubes cos-sum associate-+l- |
| 7× | neg-sub0 pow3 |
| 6× | sin-sum associate--r+ pow-pow rem-cbrt-cube |
| 5× | exp-diff associate--r- |
| 4× | associate-+r+ exp-sum sqrt-unprod sub-div distribute-rgt-out |
| 3× | rem-exp-log rem-square-sqrt |
| 2× | distribute-rgt1-in distribute-rgt-out-- associate--l+ log-rec cos-diff |
| 1× | quot-tan difference-of-sqr--1 associate--l- associate-+r- distribute-frac-neg unpow3 tanh-undef sin-mult hypot-udef asin-acos acos-neg cube-mult unsub-neg sin-diff |