13887 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) (/ (* (* (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)))) |
| 2.5s | (/ (* (* (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h) (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h)) (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h)) (* (* (* 2 l) (* 2 l)) (* 2 l))) |
| 2.4s | (* (* (/ (* (* (* D M) (* D M)) (* D M)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* D M) (* D M)) (* D M)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* h h) h)) |
| 2.2s | (* (* (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h)) |
| 2.2s | (* (* (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* D D) D) (* (* M M) M)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* h h) h)) |
| 54× | intervals |
| 56.2s | 238791× | body | 80 | valid |
| 35.9s | 159416× | body | 80 | nan |
| 32.6s | 17810× | body | 1280 | valid |
| 19.5s | 8686× | body | 10240 | exit |
| 18.5s | 14155× | body | 640 | valid |
| 7.4s | 5010× | body | 2560 | valid |
| 7.3s | 7372× | body | 320 | valid |
| 5.5s | 2331× | body | 5120 | valid |
| 4.4s | 8088× | body | 160 | valid |
| 694.0ms | 647× | body | 1280 | nan |
| 593.0ms | 657× | body | 640 | nan |
| 255.0ms | 352× | body | 320 | nan |
| 62.0ms | 174× | body | 160 | nan |
389 calls:
| 2.5s | (sqrt (* 2 (* U (* n (- (fma (/ l (/ Om l)) -2 t) (* (* n (* (/ l Om) (/ l Om))) (- U U*))))))) |
| 2.3s | (sqrt (* 2 (* U (* n (- (fma (/ l (/ Om l)) -2 t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))))))) |
| 2.2s | (sqrt (* 2 (* U (* n (- (fma (/ (* l l) Om) -2 t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))))))) |
| 1.6s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (fabs (/ (cbrt d) (cbrt l))) (pow (/ (cbrt d) (cbrt l)) (/ 1 2)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.5s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (fabs (/ (cbrt d) (cbrt l))) (pow (/ (cbrt d) (cbrt l)) (/ 1 2)))) (- 1 (/ (* (* (/ (* D M) (* 2 d)) (/ (* D M) (* 2 d))) h) (* 2 l)))) |
| 104× | rewrite-expression-head |
389 calls:
| 1.7s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.0s | (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) |
| 935.0ms | (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) |
| 720.0ms | (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) |
| 581.0ms | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (fabs (/ (cbrt d) (cbrt l))) (pow (/ (cbrt d) (cbrt l)) (/ 1 2)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 18892× | times-frac |
| 10962× | *-un-lft-identity |
| 10306× | add-sqr-sqrt |
| 9189× | add-cube-cbrt |
| 6543× | add-exp-log |
| 3490× | sqrt-prod |
| 3485× | add-cbrt-cube |
| 3413× | prod-exp |
| 1782× | div-exp |
| 1369× | pow1 |
| 1191× | cbrt-undiv |
| 1190× | cbrt-unprod |
| 1063× | prod-diff |
| 1034× | associate-/l* |
| 1004× | div-inv |
| 828× | associate-*r* |
| 813× | pow-exp |
| 736× | associate-*l* |
| 594× | associate-/r/ |
| 567× | distribute-lft-out-- |
| 539× | distribute-rgt-neg-in |
| 509× | distribute-lft-neg-in |
| 507× | associate-/r* |
| 473× | distribute-lft-out |
| 465× | add-log-exp |
| 452× | pow-to-exp |
| 393× | log1p-expm1-u |
| 389× | expm1-log1p-u insert-posit16 |
| 384× | pow-prod-down |
| 359× | associate-*r/ |
| 342× | difference-of-squares |
| 324× | unpow-prod-down |
| 290× | associate-*l/ |
| 279× | cbrt-prod |
| 270× | frac-times |
| 231× | unswap-sqr |
| 224× | distribute-rgt-in distribute-lft-in |
| 212× | swap-sqr |
| 189× | 1-exp rec-exp |
| 176× | pow-unpow |
| 165× | exp-prod |
| 135× | *-commutative |
| 123× | pow-prod-up |
| 117× | fma-neg |
| 113× | div-sub |
| 99× | sqr-pow |
| 91× | frac-2neg clear-num |
| 85× | sqrt-div |
| 83× | flip3-- flip-- |
| 79× | pow-sqr |
| 64× | sqrt-pow1 |
| 62× | pow-plus |
| 61× | pow1/3 pow-sub |
| 59× | neg-mul-1 |
| 56× | sub-neg |
| 51× | pow1/2 |
| 47× | pow2 |
| 46× | log-prod tan-quot |
| 45× | associate-/l/ |
| 43× | fma-udef |
| 37× | rem-sqrt-square |
| 33× | associate--r+ |
| 32× | flip-+ fma-def flip3-+ |
| 30× | unpow2 |
| 27× | diff-log |
| 26× | log-pow |
| 24× | cos-sum |
| 22× | pow-flip associate-+r+ |
| 20× | pow-pow |
| 14× | sum-log associate--l+ |
| 12× | difference-of-sqr-1 |
| 10× | inv-pow distribute-neg-frac |
| 9× | associate-+l+ neg-sub0 cbrt-div |
| 8× | +-commutative |
| 6× | associate-+r- distribute-frac-neg neg-log rem-exp-log |
| 5× | exp-diff |
| 4× | expm1-log1p expm1-udef remove-posit16 rem-log-exp acos-asin |
| 3× | frac-sub exp-sum associate--l- associate--r- distribute-rgt-out-- |
| 2× | mul0 log1p-expm1 sqr-sin asin-acos hypot-def un-div-inv frac-add sin-mult log1p-udef |
| 1× | sin-sum sqrt-undiv exp-neg sqrt-unprod sub-div hypot-udef rem-square-sqrt cos-diff log-div |
Total 38.2b remaining (27%)