| 78× | intervals |
| 4.7m | 26288× | body | 10240 | exit |
| 1.8m | 43571× | body | 1280 | valid |
| 39.7s | 30540× | body | 640 | valid |
| 25.3s | 202536× | body | 80 | valid |
| 19.1s | 150771× | body | 80 | nan |
| 16.5s | 27686× | body | 320 | valid |
| 14.2s | 36538× | body | 160 | valid |
| 9.7s | 163277× | pre | 80 | true |
| 2.2s | 3037× | body | 2560 | valid |
| 1.4s | 4104× | pre | 10240 | exit |
| 1.1s | 8004× | body | 160 | nan |
| 217.0ms | 202× | body | 5120 | valid |
| 1.0ms | 1× | body | 320 | nan |
453 calls:
| 2.5s | (expm1 (log1p (log1p (fma (fma 1/4 (- a b) 1) (sqrt E) -1)))) |
| 2.4s | (fma (* (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0)) (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0))) (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (- (* (* (log1p (expm1 (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0)))) (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0))) (* 1.0 1.0)))) |
| 1.7s | (log1p (log1p (fma (fma 1/4 (- a b) 1) (sqrt E) -1))) |
| 1.4s | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 1.2s | (fma (* (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0)) (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0))) (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (- (* (* (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0)) (- (* (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* (* 1.0 1.0) 1.0))) (* 1.0 1.0)))) |
Total 59.3b remaining (34.9%)
Threshold costs 4.8b (2.8%)
| 8.5b | 38% | Quadratic roots, narrow range |
| 8.4b | 38.4% | Cubic critical, narrow range |
| 6.0b | 14.9% | Cubic critical, medium range |
| 5.9b | 15% | Quadratic roots, medium range |
| 5.4b | 81.6% | Cubic critical |
| 145× | rewrite-expression-head |
453 calls:
| 1.0s | (/ (* (* (* -1.5 -1.5) -1.5) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* a a) a) (* (* 3.0 3.0) 3.0))) |
| 951.0ms | (cbrt (/ (* (* (* -1.5 -1.5) -1.5) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* a a) a) (* (* 3.0 3.0) 3.0)))) |
| 712.0ms | (* (- (/ (/ (* (* (- 1.0 m) (+ m 1.0)) m) (+ 1.0 m)) v) 1.0) (- 1.0 m)) |
| 711.0ms | (cbrt (* (* (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))) |
| 614.0ms | (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)) |
| 13040× | add-exp-log |
| 12344× | add-cbrt-cube |
| 8688× | prod-exp |
| 8321× | cbrt-unprod |
| 7046× | *-un-lft-identity |
| 6715× | add-sqr-sqrt |
| 6484× | times-frac |
| 4743× | add-cube-cbrt |
| 2481× | div-exp |
| 2394× | prod-diff |
| 2194× | cbrt-undiv |
| 1666× | pow1 |
| 1415× | sqrt-prod |
| 768× | difference-of-squares |
| 630× | add-log-exp |
| 572× | distribute-lft-out |
| 539× | distribute-lft-out-- |
| 535× | flip-- |
| 534× | flip3-- |
| 492× | associate-*r* |
| 483× | cbrt-div |
| 458× | expm1-log1p-u |
| 456× | log1p-expm1-u |
| 454× | frac-times |
| 442× | associate-/l* |
| 434× | associate-*l* |
| 431× | pow-prod-down |
| 392× | div-inv |
| 390× | associate-/r* |
| 384× | distribute-rgt-neg-in |
| 380× | distribute-lft-neg-in |
| 354× | fma-neg associate-/r/ |
| 336× | sqrt-div |
| 275× | cbrt-prod |
| 265× | pow-exp |
| 264× | pow-prod-up |
| 250× | distribute-rgt-in distribute-lft-in |
| 245× | associate-*r/ |
| 242× | associate-*l/ |
| 185× | pow-to-exp |
| 182× | flip-+ |
| 181× | flip3-+ |
| 170× | exp-prod |
| 150× | pow-sqr |
| 147× | log-prod |
| 146× | unswap-sqr |
| 141× | pow-plus |
| 113× | fma-def |
| 110× | sub-neg |
| 108× | *-commutative |
| 100× | clear-num frac-2neg |
| 93× | pow1/3 |
| 91× | swap-sqr |
| 89× | associate-/l/ |
| 87× | neg-mul-1 |
| 86× | log-pow |
| 84× | tan-quot |
| 73× | pow2 |
| 68× | diff-log |
| 58× | cos-sum |
| 50× | div-sub |
| 48× | unpow-prod-down |
| 47× | associate--l+ |
| 46× | fma-udef |
| 44× | sin-sum |
| 40× | pow1/2 sqrt-pow1 |
| 33× | log-div |
| 29× | pow-flip |
| 26× | rem-sqrt-square |
| 25× | 1-exp rec-exp cos-mult |
| 22× | sum-log rem-log-exp |
| 20× | +-commutative |
| 18× | sin-diff |
| 17× | pow3 cos-diff frac-sub |
| 16× | exp-sum |
| 15× | neg-sub0 |
| 14× | associate-+r+ |
| 12× | associate--r+ |
| 11× | sin-mult |
| 10× | exp-diff sin-cos-mult distribute-frac-neg acos-asin |
| 7× | log1p-udef inv-pow log1p-expm1 frac-add expm1-log1p expm1-udef exp-neg distribute-rgt-neg-out |
| 6× | pow-unpow difference-cubes sqr-pow associate--l- |
| 5× | sin-neg |
| 4× | rem-exp-log acos-neg |
| 3× | un-div-inv |
| 2× | pow-pow sqrt-unprod hypot-udef hypot-def associate--r- tanh-def rem-cbrt-cube |
| 1× | cube-unmult rem-square-sqrt distribute-rgt-out tanh-undef asin-acos |