15285 calls:
| 2.4s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t t) t) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.2s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (* (* (* (* (sin k) (tan k)) (* (sin k) (tan k))) (* (sin k) (tan k))) (/ (* (* t t) t) (* (* (* (/ l t) (/ l t)) (/ l t)) (* (* (/ l t) (/ l t)) (/ l t)))))) |
| 2.1s | (* (* (* h h) h) (* (/ (* (* M M) M) (/ (* (* 2 2) 2) (/ (* (* D D) D) (* (* d d) d)))) (/ (* (* M M) M) (* (* (/ 2 (/ D d)) (/ 2 (/ D d))) (/ 2 (/ D d)))))) |
| 2.0s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t t) t) (* (* (/ (sin k) (/ l t)) (/ (sin k) (/ l t))) (/ (sin k) (/ l t)))) (* (* (/ (sin k) (/ l t)) (/ (sin k) (/ l t))) (/ (sin k) (/ l t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.0s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (* (* (* (* (sin k) (tan k)) (* (sin k) (tan k))) (* (sin k) (tan k))) (/ (* (* t t) t) (* (/ (* (* l l) l) (* (* t t) t)) (/ (* (* l l) l) (* (* t t) t)))))) |
| 54× | intervals |
| 56.0s | 239410× | body | 80 | valid |
| 40.4s | 159066× | body | 80 | nan |
| 32.7s | 18031× | body | 1280 | valid |
| 20.2s | 8625× | body | 10240 | exit |
| 17.8s | 13625× | body | 640 | valid |
| 7.9s | 5032× | body | 2560 | valid |
| 7.6s | 7334× | body | 320 | valid |
| 7.1s | 2331× | body | 5120 | valid |
| 4.0s | 7945× | body | 160 | valid |
| 998.0ms | 564× | body | 1280 | nan |
| 633.0ms | 618× | body | 640 | nan |
| 236.0ms | 363× | body | 320 | nan |
| 65.0ms | 181× | body | 160 | nan |
384 calls:
| 1.8s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (/ (/ n (/ Om l)) (/ Om l)) (- U U*))))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (/ (/ n (/ Om l)) (/ Om l)) (- U U*))))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (/ (/ n (/ Om l)) (/ Om l)) (- U U*))))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (/ (/ n (/ Om l)) (/ Om l)) (- U U*))))) |
| 104× | rewrite-expression-head |
384 calls:
| 2.0s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.8s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.8s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.8s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 908.0ms | (* (cbrt (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT)))) (cbrt (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))) |
| 23998× | times-frac |
| 12228× | add-sqr-sqrt |
| 11858× | *-un-lft-identity |
| 11195× | add-cube-cbrt |
| 5867× | add-exp-log |
| 3500× | add-cbrt-cube |
| 2996× | sqrt-prod |
| 2426× | prod-exp |
| 2007× | div-exp |
| 1339× | associate-*l* |
| 1336× | cbrt-undiv |
| 1307× | pow1 |
| 1277× | div-inv |
| 1119× | associate-/l* |
| 1118× | cbrt-unprod |
| 926× | prod-diff |
| 726× | associate-*r* |
| 699× | associate-/r/ |
| 659× | associate-/r* |
| 522× | difference-of-squares |
| 413× | pow-unpow |
| 412× | add-log-exp associate-*r/ |
| 384× | expm1-log1p-u insert-posit16 log1p-expm1-u |
| 361× | pow-prod-down |
| 259× | cbrt-prod |
| 234× | associate-*l/ |
| 232× | frac-times |
| 221× | pow-exp |
| 220× | unswap-sqr |
| 191× | 1-exp rec-exp |
| 190× | unpow-prod-down |
| 174× | flip3-- flip-- |
| 160× | exp-prod |
| 134× | distribute-lft-out-- |
| 124× | *-commutative |
| 117× | pow-prod-up |
| 111× | sqrt-div |
| 110× | distribute-rgt-in distribute-lft-in |
| 104× | distribute-lft-out |
| 103× | swap-sqr |
| 101× | frac-2neg clear-num |
| 90× | frac-sub |
| 85× | pow-to-exp |
| 84× | sqrt-pow1 |
| 70× | distribute-lft-neg-in distribute-rgt-neg-in |
| 69× | pow-plus |
| 68× | pow-sqr |
| 65× | pow1/3 |
| 60× | sqr-pow |
| 59× | pow1/2 |
| 50× | rem-sqrt-square |
| 46× | associate--l+ |
| 42× | pow2 |
| 38× | sub-neg fma-udef |
| 36× | fma-neg |
| 35× | tan-quot |
| 34× | fma-def |
| 30× | pow-pow associate-/l/ |
| 24× | flip-+ flip3-+ |
| 21× | cbrt-div |
| 18× | div-sub |
| 17× | cos-sum |
| 16× | difference-of-sqr-1 |
| 14× | pow-flip |
| 12× | inv-pow frac-add |
| 10× | neg-mul-1 |
| 8× | pow-sub |
| 7× | un-div-inv |
| 6× | sum-log +-commutative diff-log |
| 5× | sin-sum |
| 4× | remove-posit16 exp-diff pow3 hypot-udef rem-exp-log acos-asin |
| 3× | neg-sub0 associate-+r- unpow2 distribute-frac-neg cos-diff |
| 2× | expm1-udef exp-neg sqrt-unprod distribute-neg-frac asin-acos rem-square-sqrt |
| 1× | expm1-log1p mul0 sin-mult sqr-sin rem-cbrt-cube sin-diff |
Total 39.3b remaining (29%)
| 11.6b | -17% | Toniolo and Linder, Equation (13) |
| 6.4b | -12.5% | Henrywood and Agarwal, Equation (12) |
| 6.1b | 20.5% | Henrywood and Agarwal, Equation (13) |
| 5.4b | 77.3% | Toniolo and Linder, Equation (7) |
| 4.7b | -18.4% | Maksimov and Kolovsky, Equation (3) |