| 78× | intervals |
| 4.8m | 26288× | body | 10240 | exit |
| 1.8m | 43571× | body | 1280 | valid |
| 41.9s | 30540× | body | 640 | valid |
| 26.4s | 202536× | body | 80 | valid |
| 19.8s | 27686× | body | 320 | valid |
| 19.3s | 150771× | body | 80 | nan |
| 13.0s | 36538× | body | 160 | valid |
| 10.3s | 163277× | pre | 80 | true |
| 3.0s | 3037× | body | 2560 | valid |
| 1.1s | 8004× | body | 160 | nan |
| 883.0ms | 4104× | pre | 10240 | exit |
| 178.0ms | 202× | body | 5120 | valid |
| 1.0ms | 1× | body | 320 | nan |
455 calls:
| 2.7s | (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)))) |
| 2.4s | (* (hypot (* (- (* (cos (* 0.5 phi2)) (cos (* 0.5 phi1))) (* (sin (* 0.5 phi2)) (sin (* 0.5 phi1)))) (- lambda1 lambda2)) (- phi1 phi2)) R) |
| 2.3s | (log1p (log1p (fma (fma 1/4 (- a b) 1) (sqrt E) -1))) |
| 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 58.7b remaining (35.4%)
Threshold costs 4.2b (2.5%)
| 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 |
455 calls:
| 983.0ms | (/ (* (* (* -1.5 -1.5) -1.5) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* a a) a) (* (* 3.0 3.0) 3.0))) |
| 946.0ms | (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)) |
| 13054× | add-exp-log |
| 12356× | add-cbrt-cube |
| 8692× | prod-exp |
| 8325× | cbrt-unprod |
| 7080× | *-un-lft-identity |
| 6751× | add-sqr-sqrt |
| 6493× | times-frac |
| 4769× | add-cube-cbrt |
| 2482× | div-exp |
| 2403× | prod-diff |
| 2195× | cbrt-undiv |
| 1672× | pow1 |
| 1411× | sqrt-prod |
| 769× | difference-of-squares |
| 634× | add-log-exp |
| 575× | distribute-lft-out |
| 543× | flip-- |
| 542× | flip3-- |
| 540× | distribute-lft-out-- |
| 506× | associate-*r* |
| 482× | cbrt-div |
| 462× | frac-times |
| 460× | expm1-log1p-u |
| 458× | log1p-expm1-u |
| 446× | associate-*l* |
| 445× | associate-/l* |
| 435× | pow-prod-down |
| 393× | associate-/r* div-inv |
| 384× | distribute-rgt-neg-in |
| 380× | distribute-lft-neg-in |
| 356× | associate-/r/ |
| 345× | fma-neg |
| 334× | sqrt-div |
| 274× | cbrt-prod |
| 265× | pow-exp |
| 264× | pow-prod-up |
| 262× | distribute-rgt-in distribute-lft-in |
| 246× | associate-*l/ associate-*r/ |
| 187× | flip-+ |
| 186× | flip3-+ |
| 185× | pow-to-exp |
| 170× | exp-prod |
| 150× | pow-sqr unswap-sqr |
| 146× | log-prod |
| 141× | pow-plus |
| 116× | fma-def |
| 112× | *-commutative |
| 111× | sub-neg |
| 101× | clear-num frac-2neg |
| 92× | pow1/3 |
| 91× | associate-/l/ swap-sqr |
| 87× | neg-mul-1 |
| 84× | tan-quot |
| 80× | log-pow |
| 73× | pow2 |
| 67× | diff-log |
| 60× | cos-sum |
| 52× | div-sub |
| 48× | unpow-prod-down |
| 46× | fma-udef |
| 44× | sin-sum |
| 39× | log-div |
| 38× | pow1/2 sqrt-pow1 |
| 37× | associate--l+ |
| 32× | cos-mult |
| 29× | pow-flip |
| 26× | rem-sqrt-square |
| 25× | 1-exp rec-exp |
| 24× | rem-log-exp |
| 23× | sum-log |
| 21× | +-commutative sin-mult frac-sub |
| 18× | sin-diff |
| 17× | pow3 cos-diff |
| 16× | exp-sum |
| 15× | neg-sub0 |
| 14× | associate-+r+ |
| 12× | associate--r+ |
| 10× | exp-diff sin-cos-mult distribute-frac-neg acos-asin |
| 7× | log1p-udef inv-pow exp-neg log1p-expm1 frac-add expm1-log1p expm1-udef distribute-rgt-neg-out |
| 6× | pow-unpow difference-cubes sqr-pow |
| 5× | sin-neg |
| 4× | rem-exp-log acos-neg sub-div associate--l- |
| 3× | un-div-inv |
| 2× | pow-pow sqrt-unprod hypot-udef hypot-def associate--r- associate-+l- tanh-def |
| 1× | rem-square-sqrt distribute-rgt-out tanh-undef asin-acos rem-cbrt-cube |