| 78× | intervals |
| 9.9m | 62369× | body | 10240 | exit |
| 34.3s | 44547× | body | 1280 | valid |
| 10.9s | 30277× | body | 640 | valid |
| 6.9s | 205455× | body | 80 | valid |
| 4.6s | 153935× | body | 80 | nan |
| 4.4s | 27366× | body | 320 | valid |
| 3.2s | 202443× | pre | 80 | true |
| 3.1s | 36159× | body | 160 | valid |
| 759.0ms | 3203× | body | 2560 | valid |
| 356.0ms | 4050× | pre | 10240 | exit |
| 337.0ms | 7860× | body | 160 | nan |
| 137.0ms | 227× | body | 5120 | valid |
| 91.0ms | 8235× | pre | 80 | false |
475 calls:
| 2.1s | (* (/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (fma m (sqrt m) (pow (sqrt 1.0) 3))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))) (- (sqrt 1.0) (sqrt m))) |
| 1.0s | (/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (fma m (sqrt m) (pow (sqrt 1.0) 3))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))) |
| 940.0ms | (pow (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) 3) |
| 645.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 583.0ms | (/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 144× | rewrite-expression-head |
475 calls:
| 389.0ms | (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))) |
| 292.0ms | (log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))) |
| 233.0ms | (* (/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (fma m (sqrt m) (pow (sqrt 1.0) 3))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))) (- (sqrt 1.0) (sqrt m))) |
| 209.0ms | (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m) |
| 191.0ms | (/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (* (* (cbrt (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1))) (cbrt (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)))) (cbrt (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 11493× | *-un-lft-identity |
| 11108× | add-sqr-sqrt |
| 11099× | times-frac |
| 8296× | add-cube-cbrt |
| 5963× | prod-diff |
| 3520× | add-exp-log |
| 1941× | add-cbrt-cube |
| 1433× | unpow-prod-down |
| 1321× | prod-exp |
| 1161× | associate-*r* |
| 1148× | distribute-rgt-neg-in |
| 1121× | div-exp |
| 1047× | sqrt-prod |
| 1028× | pow1 |
| 999× | distribute-lft-neg-in |
| 977× | difference-of-squares |
| 973× | associate--r+ |
| 822× | distribute-lft-out |
| 767× | distribute-lft-out-- |
| 709× | div-inv |
| 708× | add-log-exp |
| 590× | associate-/r/ |
| 581× | cbrt-unprod |
| 569× | associate-*l* |
| 514× | sqr-pow |
| 500× | fma-neg |
| 488× | cbrt-prod |
| 479× | cbrt-undiv |
| 475× | log1p-expm1-u associate-/l* expm1-log1p-u |
| 461× | distribute-rgt-in distribute-lft-in |
| 431× | cube-prod |
| 410× | pow-exp |
| 403× | associate-/r* |
| 333× | neg-mul-1 |
| 311× | flip-- |
| 310× | flip3-- |
| 302× | pow-to-exp |
| 248× | flip-+ |
| 247× | flip3-+ |
| 230× | unswap-sqr |
| 204× | log-prod |
| 191× | pow-prod-down |
| 174× | associate-*r/ |
| 172× | fma-def |
| 163× | swap-sqr |
| 138× | unpow2 |
| 137× | frac-times |
| 123× | 1-exp |
| 115× | *-commutative |
| 114× | unpow3 cube-mult |
| 112× | sub-neg |
| 109× | associate-*l/ |
| 107× | log-pow |
| 102× | cbrt-div |
| 100× | clear-num frac-2neg |
| 91× | cos-sum |
| 87× | pow-unpow |
| 86× | diff-log |
| 82× | associate-/l/ |
| 77× | rec-exp |
| 74× | sqrt-div |
| 65× | exp-prod tan-quot |
| 54× | pow1/3 div-sub |
| 42× | pow1/2 sqrt-pow1 |
| 41× | log-div |
| 40× | exp-sum |
| 38× | sum-log |
| 37× | neg-sub0 pow-pow |
| 35× | frac-sub |
| 34× | sin-sum |
| 30× | rem-sqrt-square sin-mult |
| 28× | rem-log-exp |
| 25× | +-commutative |
| 24× | associate-+l+ pow-prod-up associate--l+ |
| 23× | cube-div rem-cube-cbrt |
| 22× | pow-sqr associate-+l- |
| 20× | fma-udef |
| 18× | sin-diff |
| 17× | neg-log |
| 16× | pow-plus |
| 15× | cos-diff pow2 |
| 14× | associate--l- |
| 13× | distribute-rgt-out |
| 11× | acos-asin cos-mult |
| 10× | associate-+r- frac-add pow-flip distribute-frac-neg |
| 9× | rem-exp-log sin-cos-mult un-div-inv inv-pow associate-+r+ |
| 8× | associate--r- |
| 5× | exp-diff acos-neg rem-cbrt-cube |
| 4× | sub-div distribute-rgt-neg-out |
| 3× | sin-neg hypot-udef hypot-def asin-acos expm1-udef |
| 2× | distribute-lft1-in sqrt-unprod pow3 |
| 1× | expm1-log1p rem-square-sqrt log-rec distribute-rgt-out-- exp-to-pow |
| 222× | egg-herbie |
Total 35.4b remaining (27.3%)
Threshold costs 6.3b (4.9%)
| 5.9b | 56.7% | Cubic critical, narrow range |
| 5.2b | 25.3% | Cubic critical, medium range |
| 4.4b | 84.6% | Cubic critical |
| 4.4b | 84.7% | Quadratic roots, full range |
| 3.5b | 0% | Cubic critical, wide range |