7354 calls:
| 2.6s | (/ (* (* (* (/ 2 k) l) (* (/ 2 k) l)) (* (/ 2 k) l)) (* (* (* (* (/ (sin k) l) t) (* k (tan k))) (* (* (/ (sin k) l) t) (* k (tan k)))) (* (* (/ (sin k) l) t) (* k (tan k))))) |
| 2.3s | (/ (* (* (* (/ 2 k) l) (* (/ 2 k) l)) (* (/ 2 k) l)) (* (* (* (/ (sin k) l) (/ (sin k) l)) (/ (sin k) l)) (* (* (* t (* k (tan k))) (* t (* k (tan k)))) (* t (* k (tan k)))))) |
| 2.1s | (/ (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ l h) (/ l h)) (/ l h))) |
| 2.1s | (/ (* (* (* (/ 2 k) l) (* (/ 2 k) l)) (* (/ 2 k) l)) (* (* (* (/ (sin k) l) (* t (* k (tan k)))) (* (/ (sin k) l) (* t (* k (tan k))))) (* (/ (sin k) l) (* t (* k (tan k)))))) |
| 1.9s | (/ (* (* (* (/ 2 k) l) (* (/ 2 k) l)) (* (/ 2 k) l)) (* (* (* (* (/ (sin k) l) t) (* (/ (sin k) l) t)) (* (/ (sin k) l) t)) (* (* (* k (tan k)) (* k (tan k))) (* k (tan k))))) |
| 56× | intervals |
| 1.0m | 247501× | body | 80 | valid |
| 48.0s | 24106× | body | 1280 | valid |
| 40.8s | 160073× | body | 80 | nan |
| 27.9s | 18167× | body | 640 | valid |
| 19.9s | 8669× | body | 10240 | exit |
| 18.1s | 7306× | body | 2560 | valid |
| 14.1s | 3282× | body | 5120 | valid |
| 9.6s | 8998× | body | 320 | valid |
| 5.9s | 8854× | body | 160 | valid |
| 712.0ms | 348× | body | 320 | nan |
| 596.0ms | 612× | body | 1280 | nan |
| 560.0ms | 657× | body | 640 | nan |
| 102.0ms | 196× | body | 160 | nan |
392 calls:
| 2.8s | (sqrt (pow (* U (* (* (- (fma -2 (/ l (/ Om l)) t) (* (* n (/ l Om)) (* (/ l Om) (- U U*)))) n) 2)) 1)) |
| 2.5s | (sqrt (pow (* U (* (* (- (fma -2 (/ (* l l) Om) t) (* (* n (/ l Om)) (* (/ l Om) (- U U*)))) n) 2)) 1)) |
| 1.7s | (sqrt (pow (* U (* (* (fma (* (cbrt (fma -2 (/ l (/ Om l)) t)) (cbrt (fma -2 (/ l (/ Om l)) t))) (cbrt (fma -2 (/ l (/ Om l)) t)) (- (* (* n (/ l Om)) (* (/ l Om) (- U U*))))) n) 2)) 1)) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.4s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
Total 47.4b remaining (26.8%)
| 9.4b | -19% | Henrywood and Agarwal, Equation (13) |
| 8.3b | 30.9% | Toniolo and Linder, Equation (13) |
| 6.1b | 73.7% | Toniolo and Linder, Equation (7) |
| 4.6b | 46.5% | Henrywood and Agarwal, Equation (12) |
| 3.9b | 68.1% | Henrywood and Agarwal, Equation (3) |
| 108× | rewrite-expression-head |
392 calls:
| 251.0ms | (+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) |
| 96.0ms | (* (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) |
| 95.0ms | (/ (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2))) |
| 73.0ms | (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) |
| 69.0ms | (* (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))) (* -2 (* (* (log1p (expm1 (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) |
| 2929× | times-frac |
| 2282× | add-sqr-sqrt |
| 2245× | *-un-lft-identity |
| 2222× | add-cube-cbrt |
| 988× | add-exp-log |
| 950× | sqrt-prod |
| 842× | add-cbrt-cube |
| 625× | pow1 |
| 564× | div-inv |
| 501× | associate-*l* |
| 489× | associate-/l* |
| 426× | add-log-exp |
| 393× | log1p-expm1-u |
| 392× | expm1-log1p-u insert-posit16 |
| 382× | associate-/r* |
| 337× | associate-*r* |
| 333× | associate-/r/ |
| 191× | associate-*r/ |
| 177× | div-exp |
| 171× | prod-exp |
| 150× | cbrt-undiv |
| 143× | cbrt-prod |
| 133× | unpow-prod-down |
| 127× | associate-*l/ |
| 120× | frac-2neg clear-num |
| 118× | *-commutative |
| 116× | cbrt-unprod |
| 115× | flip3-- flip-- |
| 101× | prod-diff |
| 97× | frac-times |
| 81× | pow-prod-down |
| 80× | tan-quot |
| 58× | associate-/l/ |
| 57× | sub-neg |
| 56× | sqrt-div |
| 50× | exp-prod |
| 46× | distribute-rgt-in distribute-lft-in |
| 44× | pow-exp pow-unpow pow-to-exp rem-sqrt-square |
| 41× | fma-udef |
| 39× | pow1/2 |
| 38× | pow1/3 log-pow |
| 35× | cbrt-div flip-+ flip3-+ |
| 33× | rec-exp unpow-prod-up |
| 29× | fma-neg |
| 25× | fma-def pow-prod-up |
| 20× | pow-plus |
| 19× | pow-pow |
| 17× | pow2 |
| 14× | frac-add |
| 12× | log-prod frac-sub cube-unmult |
| 11× | pow-flip div-sub |
| 10× | inv-pow |
| 9× | distribute-lft-neg-in distribute-lft-out-- distribute-rgt-neg-in |
| 8× | sum-log associate--r+ diff-log |
| 7× | difference-of-squares associate--l+ asin-acos pow-sub |
| 6× | distribute-lft-out associate-+r- +-commutative un-div-inv distribute-neg-frac cos-sum |
| 5× | associate-+l+ unpow2 |
| 4× | hypot-udef rem-exp-log |
| 3× | neg-sub0 exp-diff exp-sum pow3 distribute-frac-neg neg-mul-1 rem-log-exp cos-diff sin-mult |
| 2× | expm1-log1p expm1-udef associate-+r+ mul0 rem-cbrt-cube acos-asin |
| 1× | remove-posit16 sqrt-undiv sqrt-unprod sub-div sqr-sin associate--r- |