| 21× | intervals |
| 35.4s | 38482× | body | 10240 | exit |
| 6.9s | 7386× | body | 1280 | valid |
| 5.4s | 3411× | body | 2560 | valid |
| 3.1s | 57421× | body | 80 | nan |
| 2.8s | 56588× | body | 80 | valid |
| 2.0s | 4592× | body | 640 | valid |
| 576.0ms | 2363× | body | 320 | valid |
| 195.0ms | 1204× | body | 160 | valid |
| 100.0ms | 8356× | pre | 80 | true |
| 62.0ms | 31× | body | 5120 | valid |
| 25.0ms | 12× | body | 5120 | nan |
| 24.0ms | 33× | body | 2560 | nan |
| 7.0ms | 28× | body | 1280 | nan |
| 5.0ms | 19× | body | 640 | nan |
| 3.0ms | 18× | body | 320 | nan |
| 1.0ms | 9× | body | 160 | nan |
100 calls:
| 5.1s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 5.1s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 5.0s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2))))))) |
| 4.9s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) |
| 1.5s | (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2)))))) |
| 32× | rewrite-expression-head |
100 calls:
| 178.0ms | (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) |
| 173.0ms | (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2)))))) |
| 144.0ms | (- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1))) |
| 138.0ms | (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)) |
| 131.0ms | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) |
| 2993× | add-sqr-sqrt |
| 2387× | *-un-lft-identity |
| 2281× | times-frac |
| 1509× | add-cube-cbrt |
| 1473× | prod-diff |
| 559× | difference-of-squares |
| 365× | distribute-lft-out-- |
| 350× | add-exp-log |
| 261× | unpow-prod-down |
| 224× | pow1 |
| 218× | associate-/r/ |
| 217× | sqrt-prod |
| 190× | add-cbrt-cube |
| 176× | unpow-prod-up |
| 157× | flip-- flip3-- |
| 147× | associate-*r* |
| 141× | prod-exp |
| 136× | difference-of-sqr-1 |
| 121× | div-inv |
| 108× | add-log-exp |
| 102× | log1p-expm1-u |
| 101× | expm1-log1p-u |
| 96× | distribute-rgt-in distribute-lft-in |
| 90× | associate-*r/ |
| 82× | associate-*l* |
| 69× | unswap-sqr |
| 64× | swap-sqr |
| 55× | fma-neg |
| 54× | pow-prod-down |
| 51× | pow-exp |
| 45× | cbrt-unprod |
| 44× | sqr-pow sub-neg log-prod |
| 40× | associate--l+ |
| 38× | associate-/r* |
| 37× | sqrt-pow1 |
| 35× | pow-to-exp |
| 34× | frac-sub |
| 27× | div-exp |
| 25× | log-pow |
| 24× | pow-unpow sqrt-div cbrt-prod |
| 21× | pow1/2 associate-/l* pow-pow |
| 14× | *-commutative exp-prod |
| 13× | fma-def associate-*l/ rem-log-exp |
| 11× | pow-sub |
| 10× | rem-sqrt-square |
| 9× | cbrt-undiv |
| 7× | clear-num frac-2neg |
| 6× | cube-prod |
| 5× | sqrt-pow2 pow1/3 expm1-udef |
| 4× | pow-prod-up expm1-log1p frac-times exp-sum |
| 3× | flip-+ flip3-+ distribute-rgt-out-- diff-log |
| 2× | associate-/l/ sinh-def rem-exp-log expm1-def pow-plus pow3 pow2 unpow2 pow-sqr unpow3 cube-mult rec-exp acos-asin distribute-lft-out 1-exp |
| 1× | rem-cube-cbrt e-exp-1 fma-udef log1p-udef inv-pow log1p-expm1 sub-div pow-flip +-commutative div-sub sum-log rem-cbrt-cube sin-diff |
Total 10.6b remaining (6.7%)
Threshold costs 0.7b (0.5%)
| 8.3b | 14.3% | Toniolo and Linder, Equation (13) |
| 1.6b | 0% | Random Jason Timeout Test 006 |
| 0.4b | 0% | Random Jason Timeout Test 012 |
| 0.3b | 0% | (/ (- x lo) (- hi lo)) |
| 0.0b | 0% | Random Jason Timeout Test 004 |