| 73× | intervals |
| 26.9s | 286164× | body | 80 | valid |
| 10.2s | 25112× | body | 160 | valid |
| 9.1s | 13925× | body | 1280 | valid |
| 4.0s | 9164× | body | 640 | valid |
| 3.8s | 3804× | body | 2560 | valid |
| 2.8s | 2143× | body | 10240 | exit |
| 2.6s | 100577× | pre | 80 | true |
| 2.4s | 19328× | body | 80 | nan |
| 1.6s | 7014× | body | 320 | valid |
| 151.0ms | 213× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
305 calls:
| 3.1s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* (* i i) (log 1.0)) 0.5))) |
| 2.8s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* (* i i) (log 1.0)) 0.5))) |
| 2.8s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* (* i i) (log 1.0)) 0.5))) |
| 952.0ms | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (* x1 x1) (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0))))) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 655.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 107× | rewrite-expression-head |
305 calls:
| 1.9s | (- (+ (exp (* x (- eps 1.0))) (/ (exp (* x (- eps 1.0))) eps)) (/ (exp (- (* x (+ 1.0 eps)))) eps)) |
| 1.7s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* x1 x1)) (* (- 6.0) (* x1 x1)))) |
| 1.2s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 1.1s | (- (/ (* (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0)))) (- (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))) (- (/ (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (- (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))) (/ 77617.0 (* 2.0 33096.0)))) |
| 1.0s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (/ 1 (+ (* x1 x1) 1.0)) (- 3.0))) (+ (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* x1 x1)) (* (- 6.0) (* x1 x1)))) |
| 7562× | times-frac |
| 7123× | *-un-lft-identity |
| 6708× | add-sqr-sqrt |
| 5191× | add-cube-cbrt |
| 2969× | prod-diff |
| 1562× | add-exp-log |
| 1307× | add-cbrt-cube |
| 937× | pow1 |
| 845× | associate-*r* |
| 828× | distribute-rgt-in distribute-lft-in |
| 626× | associate-+l+ |
| 602× | div-inv |
| 576× | add-log-exp |
| 574× | sqrt-prod |
| 569× | difference-of-squares |
| 518× | prod-exp |
| 516× | distribute-lft-out |
| 479× | distribute-lft-out-- |
| 446× | associate-*l* |
| 386× | cbrt-unprod |
| 364× | div-exp |
| 345× | associate-/l* |
| 341× | associate-/r* |
| 305× | expm1-log1p-u log1p-expm1-u |
| 285× | cbrt-undiv |
| 273× | pow-prod-down |
| 265× | associate-/r/ |
| 258× | cbrt-prod |
| 242× | flip3-- flip-- |
| 212× | frac-times |
| 206× | flip-+ flip3-+ |
| 202× | associate-*r/ |
| 196× | fma-neg |
| 173× | unpow-prod-down |
| 162× | sqrt-pow1 |
| 146× | distribute-rgt-neg-in |
| 142× | distribute-lft-neg-in |
| 137× | swap-sqr |
| 136× | unswap-sqr |
| 131× | associate-*l/ |
| 121× | exp-sum |
| 117× | sum-log |
| 106× | frac-sub |
| 100× | fma-def |
| 93× | cbrt-div |
| 86× | sqr-pow |
| 82× | sqrt-div |
| 81× | exp-neg |
| 76× | *-commutative sub-neg |
| 74× | pow1/2 |
| 72× | pow-prod-up |
| 67× | neg-sub0 frac-2neg clear-num |
| 66× | associate-/l/ |
| 65× | associate--r+ |
| 61× | exp-diff |
| 57× | pow1/3 |
| 48× | frac-add |
| 47× | diff-log |
| 46× | pow-sqr |
| 45× | neg-mul-1 |
| 43× | rem-sqrt-square |
| 40× | log-prod |
| 37× | fma-udef |
| 33× | pow-plus |
| 32× | distribute-neg-in |
| 26× | pow-exp pow-to-exp |
| 25× | +-commutative div-sub |
| 23× | associate-+r+ |
| 21× | 1-exp rec-exp un-div-inv |
| 19× | pow2 |
| 18× | log-pow |
| 9× | associate--l+ hypot-def |
| 8× | distribute-lft-neg-out |
| 7× | distribute-frac-neg exp-prod |
| 6× | associate--l- log-div |
| 5× | pow-flip associate-+r- pow3 |
| 4× | cube-prod inv-pow rem-log-exp distribute-neg-frac |
| 3× | pow-unpow sqrt-unprod rem-square-sqrt unsub-neg |
| 2× | neg-log sub-div associate-+l- rem-cbrt-cube distribute-rgt-out |
| 1× | unpow3 pow-pow distribute-rgt-out-- cube-mult associate--r- |
Total 35.4b remaining (13.8%)
Threshold costs 3.0b (1.2%)
| 10.8b | 52.6% | Compound Interest |
| 8.5b | 28.8% | Complex division, real part |
| 4.5b | 84.4% | The quadratic formula (r1) |
| 4.3b | 84.9% | The quadratic formula (r2) |
| 3.2b | 0% | Complex division, imag part |