1283 calls:
| 815.0ms | (* (* (* (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n) (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n)) (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n)) (* (* (* U U) U) (* (* 2 2) 2))) |
| 726.0ms | (+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c)) |
| 713.0ms | (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))))))) |
| 630.0ms | (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) |
| 616.0ms | (* (* (* (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n) (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n)) (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n)) (* (* (* U 2) (* U 2)) (* U 2))) |
| 12× | intervals |
| 49.5s | 32585× | body | 10240 | exit |
| 7.5s | 3440× | body | 2560 | valid |
| 5.7s | 37136× | body | 80 | valid |
| 5.6s | 37059× | body | 80 | nan |
| 4.8s | 5042× | body | 1280 | valid |
| 1.7s | 3081× | body | 640 | valid |
| 843.0ms | 1383× | body | 320 | valid |
| 418.0ms | 8256× | pre | 80 | true |
| 200.0ms | 704× | body | 160 | valid |
| 55.0ms | 33× | body | 5120 | valid |
| 25.0ms | 10× | body | 5120 | nan |
| 14.0ms | 11× | body | 2560 | nan |
| 8.0ms | 10× | body | 1280 | nan |
| 3.0ms | 6× | body | 640 | nan |
| 2.0ms | 8× | body | 160 | nan |
| 2.0ms | 5× | body | 320 | nan |
48 calls:
| 2.2s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (expm1 (log1p (sqrt (* (- t (fma (* (/ 2 (cbrt Om)) (/ l (cbrt Om))) (/ l (cbrt Om)) (* (* (- U U*) (* (/ l Om) n)) (/ l Om)))) (* (* U n) 2))))) |
| 1.3s | (sqrt (pow (* (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n) (* U 2)) 1)) |
| 1.1s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 908.0ms | (sqrt (* (- t (fma (* (/ 2 (cbrt Om)) (/ l (cbrt Om))) (/ l (cbrt Om)) (* (* (- U U*) (* (/ l Om) n)) (/ l Om)))) (* (* U n) 2))) |
Total 12.3b remaining (6.6%)
Threshold costs 0.6b (0.3%)
| 11.7b | 10.8% | Toniolo and Linder, Equation (13) |
| 0.4b | 0% | Random Jason Timeout Test 012 |
| 0.2b | 0% | Random Jason Timeout Test 004 |
| 0.0b | 0% | Random Jason Timeout Test 002 |
| 0.0b | 0% | Random Jason Timeout Test 014 |
| 17× | rewrite-expression-head |
48 calls:
| 214.0ms | (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) |
| 108.0ms | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 95.0ms | (* (* (* 2 n) U) (- (- t (* 2 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2)) (- U U*)))) |
| 90.0ms | (* (* (* (/ l Om) (/ l Om)) n) (- U U*)) |
| 81.0ms | (* (* n (pow (/ l Om) 2)) (- U U*)) |
| 188× | add-exp-log |
| 185× | add-sqr-sqrt |
| 170× | *-un-lft-identity |
| 162× | add-cbrt-cube |
| 149× | pow1 |
| 136× | add-cube-cbrt |
| 80× | prod-exp |
| 78× | prod-diff |
| 65× | cbrt-unprod |
| 60× | pow-prod-down |
| 53× | distribute-lft-in distribute-rgt-in |
| 51× | associate-*r/ associate-*r* |
| 48× | add-log-exp expm1-log1p-u insert-posit16 log1p-expm1-u |
| 38× | times-frac |
| 33× | flip3-- flip-- |
| 32× | associate-*l/ |
| 26× | associate-*l* |
| 20× | associate--l+ |
| 17× | difference-of-squares distribute-lft-out-- |
| 16× | frac-sub unpow-prod-down |
| 15× | div-exp log-prod |
| 14× | sqrt-div sub-neg |
| 13× | sqrt-pow1 |
| 12× | frac-times cbrt-undiv *-commutative |
| 11× | log-pow |
| 10× | exp-prod |
| 8× | unswap-sqr associate-/r* sqrt-prod |
| 6× | associate-/l* pow-exp |
| 4× | rem-log-exp pow1/2 sqr-pow |
| 3× | exp-sum pow-to-exp div-inv |
| 2× | sinh-def unpow2 associate-/l/ frac-2neg associate-/r/ rem-sqrt-square fma-udef acos-asin clear-num |
| 1× | expm1-udef div-sub expm1-log1p rem-exp-log |