6827 calls:
| 2.2s | (cbrt (* (* (- (* (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (- (+ (log x) (log 2)) (/ 3/32 (pow x 4)))) (* (/ (/ -1/4 x) x) (/ (/ -1/4 x) x))) (+ (* (- (* (+ (log x) (log 2)) (+ (log x) (log 2))) (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4)))) x) (* (+ (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ -1/4 x)))) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)))) |
| 2.2s | (cbrt (* (* (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) (+ (* (- (pow (+ (log x) (log 2)) 3) (pow (/ 3/32 (pow x 4)) 3)) x) (* (+ (* (+ (log x) (log 2)) (+ (log x) (log 2))) (+ (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4))) (* (+ (log x) (log 2)) (/ 3/32 (pow x 4))))) (/ -1/4 x)))) (+ (* (- (pow (+ (log x) (log 2)) 3) (pow (/ 3/32 (pow x 4)) 3)) x) (* (+ (* (+ (log x) (log 2)) (+ (log x) (log 2))) (+ (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4))) (* (+ (log x) (log 2)) (/ 3/32 (pow x 4))))) (/ -1/4 x))))) |
| 1.9s | (cbrt (* (* (+ (pow (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) 3) (pow (/ (/ -1/4 x) x) 3)) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x))) (+ (* (- (* (+ (log x) (log 2)) (+ (log x) (log 2))) (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4)))) x) (* (+ (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ -1/4 x))))) |
| 1.8s | (cbrt (* (* (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) (+ (* (- (* (- (* (log x) (log x)) (* (log 2) (log 2))) (pow x 4)) (* (- (log x) (log 2)) 3/32)) x) (* (* (- (log x) (log 2)) (pow x 4)) (/ -1/4 x)))) (+ (pow (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) 3) (pow (/ (/ -1/4 x) x) 3)))) |
| 1.7s | (cbrt (* (* (+ (* (- (* (+ (log x) (log 2)) (+ (log x) (log 2))) (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4)))) x) (* (+ (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ -1/4 x))) (+ (pow (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) 3) (pow (/ (/ -1/4 x) x) 3))) (+ (* (- (* (+ (log x) (log 2)) (+ (log x) (log 2))) (* (/ 3/32 (pow x 4)) (/ 3/32 (pow x 4)))) x) (* (+ (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ -1/4 x))))) |
| 72× | intervals |
| 8.2m | 79095× | body | 10240 | exit |
| 54.6s | 32888× | body | 1280 | valid |
| 26.5s | 198172× | body | 80 | valid |
| 22.4s | 24516× | body | 640 | valid |
| 19.2s | 152158× | body | 80 | nan |
| 14.0s | 25034× | body | 320 | valid |
| 12.3s | 35239× | body | 160 | valid |
| 9.4s | 153736× | pre | 80 | true |
| 3.2s | 3033× | body | 2560 | valid |
| 1.0s | 4094× | pre | 10240 | exit |
| 969.0ms | 7988× | body | 160 | nan |
| 345.0ms | 244× | body | 5120 | valid |
449 calls:
| 616.0ms | (* (cbrt (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b))) (cbrt (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)))) |
| 542.0ms | (* (cbrt (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b))) (cbrt (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)))) |
| 511.0ms | (cbrt (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2)) |
| 494.0ms | (cbrt (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2)) |
| 470.0ms | (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a)) |
Total 38.0b remaining (11.6%)
| 6.7b | 23.4% | Cubic critical, narrow range |
| 5.6b | 47.4% | Quotient of products |
| 4.3b | 84.5% | Cubic critical |
| 3.2b | 0% | Cubic critical, wide range |
| 3.1b | 0% | Quadratic roots, narrow range |
| 131× | rewrite-expression-head |
449 calls:
| 1.2s | (+ (- (log (fma (- 1 (* x x)) (sqrt (- 1 (* x x))) 1)) (log (* (+ (* (* (sqrt (- 1 (* x x))) (sqrt (- (* 1 1) (* (* x x) (* x x))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (sqrt (- 1 (* x x))) 1) (* (sqrt (- 1 (* x x))) 1)) (* (* 1 1) (* (sqrt (- 1 (* x x))) 1))))) (* (sqrt (+ 1 (* x x))) (- (pow (* 1 1) 3) (pow (* (sqrt (- 1 (* x x))) 1) 3)))) x))) (log (* (sqrt (+ 1 (* x x))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (sqrt (- 1 (* x x))) 1) (* (sqrt (- 1 (* x x))) 1)) (* (* 1 1) (* (sqrt (- 1 (* x x))) 1))))))) |
| 926.0ms | (* (* (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x))) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x))) |
| 505.0ms | (cbrt (* (* (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x))) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)))) |
| 390.0ms | (* (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x))) |
| 193.0ms | (* (- (/ (/ (/ (* m (- (pow 1 3) (pow m 3))) (sqrt (+ (fma m m m) 1))) (sqrt (+ (fma m m m) 1))) v) 1) m) |
| 1864× | frac-times |
| 1674× | frac-add |
| 1396× | *-un-lft-identity |
| 1284× | add-sqr-sqrt |
| 1200× | add-exp-log |
| 1190× | add-cube-cbrt |
| 1062× | flip-+ |
| 1061× | flip3-+ |
| 1048× | sqrt-div |
| 1043× | associate-*l/ |
| 936× | flip-- |
| 935× | flip3-- |
| 870× | pow1 |
| 657× | add-cbrt-cube |
| 624× | frac-sub |
| 531× | add-log-exp |
| 500× | log-div |
| 459× | times-frac |
| 457× | expm1-log1p-u |
| 450× | log1p-expm1-u |
| 449× | insert-posit16 |
| 442× | associate--r- |
| 420× | associate-*r/ |
| 415× | prod-exp |
| 402× | cbrt-div |
| 380× | prod-diff |
| 379× | sqrt-prod |
| 285× | associate-*l* |
| 270× | pow-exp |
| 257× | associate-+l+ |
| 254× | associate-*r* |
| 241× | associate-/l* |
| 240× | div-inv |
| 210× | associate-/r/ |
| 200× | div-exp |
| 186× | pow-to-exp |
| 151× | associate-/r* |
| 150× | fma-neg |
| 144× | cbrt-prod |
| 134× | log-prod |
| 116× | pow-prod-down |
| 113× | log-pow |
| 98× | rec-exp |
| 95× | cbrt-unprod |
| 88× | fma-udef |
| 87× | fma-def |
| 86× | *-commutative |
| 84× | distribute-lft-out frac-2neg clear-num |
| 71× | sub-neg |
| 68× | pow1/2 pow-prod-up |
| 66× | pow1/3 |
| 61× | distribute-rgt-in distribute-lft-in |
| 56× | pow-plus |
| 55× | distribute-lft-out-- |
| 52× | associate-/l/ |
| 42× | pow2 |
| 39× | rem-sqrt-square |
| 38× | associate--l+ |
| 36× | cube-mult |
| 35× | difference-of-squares unpow3 |
| 34× | cbrt-undiv unpow-prod-down |
| 31× | diff-log |
| 27× | +-commutative div-sub |
| 26× | pow-pow |
| 25× | sum-log |
| 24× | tan-quot |
| 23× | associate-+r+ exp-prod |
| 22× | pow-flip rem-log-exp |
| 20× | cube-prod |
| 16× | inv-pow log1p-udef |
| 14× | exp-sum |
| 12× | pow3 |
| 11× | associate-+r- |
| 9× | log1p-expm1 difference-of-sqr-1 acos-asin |
| 8× | rem-exp-log associate-+l- |
| 7× | distribute-rgt-out-- |
| 6× | sin-sum cube-unmult associate--r+ cos-sum rem-cbrt-cube |
| 5× | expm1-udef difference-cubes sqrt-unprod sin-mult rem-square-sqrt |
| 4× | expm1-log1p neg-sub0 exp-diff associate--l- un-div-inv distribute-rgt-out |
| 3× | cos-mult log1p-def distribute-frac-neg log-rec acos-neg cos-diff |
| 2× | distribute-rgt1-in neg-mul-1 hypot-udef unpow1/3 expm1-def |
| 1× | tanh-undef asin-acos sub-div unsub-neg sin-diff |