895 calls:
| 785.0ms | (sqrt (* (* (* 2 n) U) (- (* (- (* t t) (* (* 2 (/ (* l l) Om)) (* 2 (/ (* l l) Om)))) (+ (* U U) (+ (* U* U*) (* U U*)))) (* (+ t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- (pow U 3) (pow U* 3))))))) |
| 722.0ms | (sqrt (* (* (* 2 n) U) (- (* (- (* t t) (* (* 2 (/ (* l l) Om)) (* 2 (/ (* l l) Om)))) (+ U U*)) (* (+ t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- (* U U) (* U* U*))))))) |
| 694.0ms | (- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2))) |
| 669.0ms | (* (* (* n n) n) (* (* (pow (/ l Om) 2) (pow (/ l Om) 2)) (pow (/ l Om) 2))) |
| 663.0ms | (fma (sqrt (/ PI 2)) (sqrt (/ PI 2)) (- (* (sqrt (asin (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (sqrt (asin (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a))))))) |
| 12× | intervals |
| 48.0s | 32258× | body | 10240 | exit |
| 6.7s | 3458× | body | 2560 | valid |
| 5.3s | 37301× | body | 80 | valid |
| 5.1s | 37176× | body | 80 | nan |
| 5.1s | 4999× | body | 1280 | valid |
| 1.8s | 2858× | body | 640 | valid |
| 787.0ms | 1416× | body | 320 | valid |
| 350.0ms | 8256× | pre | 80 | true |
| 181.0ms | 735× | body | 160 | valid |
| 38.0ms | 21× | body | 5120 | valid |
| 30.0ms | 12× | body | 5120 | nan |
| 9.0ms | 7× | body | 2560 | nan |
| 8.0ms | 10× | body | 1280 | nan |
| 5.0ms | 8× | body | 640 | nan |
| 2.0ms | 5× | body | 320 | nan |
| 1.0ms | 5× | body | 160 | nan |
58 calls:
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.2s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.1s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.1s | (sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))) |
| 583.0ms | (log1p (sinh c)) |
Total 9.9b remaining (5.5%)
| 8.2b | 32.4% | Toniolo and Linder, Equation (13) |
| 1.6b | 0% | Random Jason Timeout Test 004 |
| 0.1b | 0% | Random Jason Timeout Test 012 |
| 0.0b | 0% | Random Jason Timeout Test 002 |
| 0.0b | 0% | Random Jason Timeout Test 014 |
| 19× | rewrite-expression-head |
58 calls:
| 189.0ms | (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) |
| 114.0ms | (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 113.0ms | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 107.0ms | (sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))) |
| 99.0ms | (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*)))) |
| 305× | add-sqr-sqrt |
| 262× | *-un-lft-identity |
| 230× | add-cube-cbrt |
| 184× | add-exp-log |
| 155× | pow1 |
| 153× | prod-diff |
| 131× | add-cbrt-cube |
| 105× | times-frac |
| 103× | distribute-lft-in distribute-rgt-in associate-*r* |
| 98× | associate-*r/ |
| 72× | prod-exp |
| 61× | expm1-log1p-u |
| 60× | add-log-exp unpow-prod-down |
| 58× | insert-posit16 log1p-expm1-u |
| 57× | pow-prod-down |
| 50× | associate--l+ |
| 46× | flip3-- flip-- |
| 42× | cbrt-unprod |
| 32× | frac-sub |
| 27× | sub-neg |
| 25× | associate-*l* |
| 24× | sqrt-div |
| 22× | unswap-sqr |
| 20× | log-pow |
| 17× | sqrt-pow1 difference-of-squares |
| 16× | distribute-lft-out-- |
| 15× | exp-prod log-prod cbrt-prod |
| 14× | pow-exp |
| 13× | fma-neg *-commutative |
| 10× | div-exp div-inv sqrt-prod |
| 8× | unpow2 sqr-pow associate-/r* |
| 7× | pow-to-exp |
| 6× | associate-/l* |
| 5× | rem-log-exp pow1/3 |
| 4× | sinh-def pow1/2 fma-udef |
| 3× | cbrt-undiv log1p-expm1 log1p-udef acos-asin |
| 2× | expm1-udef expm1-log1p associate-/l/ frac-2neg associate-/r/ clear-num |
| 1× | div-sub asin-acos associate--r- diff-log |