24561 calls:
| 2.5s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (/ (* (* t t) t) (/ (* (* l l) l) (* (* (sin k) (sin k)) (sin k)))) (* (/ (* (* t t) t) (/ (* (* l l) l) (* (* (sin k) (sin k)) (sin k)))) (* (* t t) t))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.3s | (* (* (* (/ (cos k) t) (/ (cos k) t)) (/ (cos k) t)) (* (/ (* (* l l) l) (* (* (* (sin k) k) (* (sin k) k)) (* (sin k) k))) (/ (* (* l l) l) (* (* (* (sin k) (sin k)) (sin k)) (* (* k k) k))))) |
| 2.3s | (/ (* (* (/ 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)))))) |
| 2.2s | (/ (/ (* (* 2 2) 2) (* (* (fma (/ k t) (/ k t) 2) (fma (/ k t) (/ k t) 2)) (fma (/ k t) (/ k t) 2))) (/ (* (* (* (/ t (/ l (sin k))) (/ t (/ l (sin k)))) (/ t (/ l (sin k)))) (* (* (* (/ t (/ l (sin k))) (/ t (/ l (sin k)))) (/ t (/ l (sin k)))) (* (* t t) t))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.0s | (* (* (* (/ (cos k) t) (/ (cos k) t)) (/ (cos k) t)) (* (/ (* (* l l) l) (* (* (* (sin k) (sin k)) (sin k)) (* (* k k) k))) (/ (* (* l l) l) (* (* (* (sin k) k) (* (sin k) k)) (* (sin k) k))))) |
| 59× | intervals |
| 1.0m | 251923× | body | 80 | valid |
| 47.3s | 25818× | body | 1280 | valid |
| 42.2s | 160617× | body | 80 | nan |
| 23.7s | 17439× | body | 640 | valid |
| 19.8s | 7930× | body | 2560 | valid |
| 19.5s | 8613× | body | 10240 | exit |
| 14.5s | 3396× | body | 5120 | valid |
| 7.3s | 8391× | body | 320 | valid |
| 4.2s | 8576× | body | 160 | valid |
| 1.0s | 632× | body | 1280 | nan |
| 562.0ms | 614× | body | 640 | nan |
| 465.0ms | 154× | body | 160 | nan |
| 367.0ms | 8256× | pre | 80 | true |
| 280.0ms | 332× | body | 320 | nan |
440 calls:
| 2.6s | (expm1 (log1p (sqrt (* (- t (fma (* (/ 2 (cbrt Om)) (/ l (cbrt Om))) (/ l (cbrt Om)) (* (* (- U U*) (* (/ l Om) n)) (/ l Om)))) (* (* U n) 2))))) |
| 2.0s | (sqrt (pow (* (* (- (fma (/ (* (/ l (cbrt Om)) (/ l (cbrt Om))) (cbrt Om)) -2 t) (* (* (* (/ l Om) (/ l Om)) n) (- U U*))) n) (* U 2)) 1)) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.6s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.5s | (* (* (fma (/ h l) (* -1/2 (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d)))) 1) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (* (fabs (/ (cbrt d) (cbrt h))) (sqrt (/ (cbrt d) (cbrt h))))) |
| 115× | rewrite-expression-head |
440 calls:
| 1.6s | (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) |
| 1.5s | (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) |
| 1.3s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 1.2s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 1.2s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 52010× | times-frac |
| 20222× | add-sqr-sqrt |
| 20026× | *-un-lft-identity |
| 18743× | add-cube-cbrt |
| 4615× | add-exp-log |
| 4020× | add-cbrt-cube |
| 3687× | sqrt-prod |
| 2668× | div-inv |
| 2053× | cbrt-prod |
| 1786× | div-exp |
| 1730× | prod-diff |
| 1630× | cbrt-undiv |
| 1399× | associate-*l* |
| 1392× | prod-exp |
| 1312× | associate-/l* |
| 1229× | pow1 |
| 1204× | cbrt-unprod |
| 811× | difference-of-squares |
| 714× | associate-*r* |
| 600× | associate-/r* |
| 536× | add-log-exp |
| 473× | unpow-prod-down |
| 441× | log1p-expm1-u |
| 440× | expm1-log1p-u insert-posit16 |
| 377× | distribute-lft-out-- |
| 356× | distribute-rgt-neg-in |
| 353× | pow-prod-down |
| 346× | distribute-lft-neg-in |
| 290× | associate-/r/ |
| 287× | exp-prod |
| 269× | exp-sum |
| 233× | associate-*r/ |
| 216× | distribute-lft-out unswap-sqr |
| 178× | associate-*l/ |
| 163× | swap-sqr |
| 150× | frac-times |
| 147× | sqrt-div |
| 146× | pow-unpow sqr-pow |
| 133× | unpow-prod-up |
| 131× | flip-- flip3-- |
| 127× | *-commutative |
| 120× | fma-neg |
| 118× | frac-2neg clear-num |
| 93× | pow-exp |
| 92× | sqrt-pow1 cos-sum |
| 81× | distribute-rgt-in distribute-lft-in |
| 65× | pow1/2 |
| 62× | unpow2 |
| 60× | rem-sqrt-square |
| 57× | pow-to-exp |
| 55× | associate-/l/ |
| 53× | pow1/3 |
| 47× | sub-neg |
| 46× | pow-prod-up |
| 42× | 1-exp |
| 40× | diff-log |
| 37× | rec-exp |
| 36× | div-sub |
| 35× | fma-udef |
| 34× | neg-mul-1 |
| 32× | cbrt-div |
| 31× | tan-quot |
| 30× | fma-def pow-sqr |
| 29× | pow-plus |
| 23× | associate--l+ pow-pow rem-exp-log |
| 22× | pow2 flip-+ associate--r+ flip3-+ |
| 21× | exp-diff |
| 19× | frac-sub |
| 15× | log-pow |
| 14× | pow-sub |
| 12× | associate-+r- |
| 11× | neg-sub0 |
| 10× | pow-flip frac-add |
| 9× | log-prod difference-of-sqr-1 distribute-frac-neg expm1-def |
| 8× | neg-log inv-pow exp-neg |
| 6× | hypot-udef |
| 5× | sum-log +-commutative associate--r- |
| 4× | pow3 asin-acos hypot-def acos-asin cos-diff |
| 3× | expm1-log1p expm1-udef un-div-inv sin-mult |
| 2× | associate--l- distribute-neg-frac rem-cbrt-cube rem-log-exp log1p-udef log-div |
| 1× | cos-mult mul0 cube-unmult log1p-expm1 sqrt-unprod sub-div exp-to-pow sqr-sin rem-square-sqrt e-exp-1 |
Total 38.3b remaining (25.8%)
Threshold costs 3.1b (2.1%)