| 73× | intervals |
| 9.5s | 294019× | body | 80 | valid |
| 4.8s | 13872× | body | 1280 | valid |
| 2.5s | 3827× | body | 2560 | valid |
| 1.8s | 9358× | body | 640 | valid |
| 1.8s | 16899× | body | 160 | valid |
| 1.4s | 100646× | pre | 80 | true |
| 1.1s | 2129× | body | 10240 | exit |
| 728.0ms | 6830× | body | 320 | valid |
| 539.0ms | 18963× | body | 80 | nan |
| 81.0ms | 220× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
323 calls:
| 550.0ms | (* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n))) |
| 534.0ms | (log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))) |
| 523.0ms | (* (sqrt (log (+ 1.0 x))) (sqrt (+ (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))))) |
| 435.0ms | (cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 423.0ms | (cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 111× | rewrite-expression-head |
323 calls:
| 1.1s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 592.0ms | (+ (+ (+ (* 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))) |
| 550.0ms | (+ (+ (* 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))) |
| 285.0ms | (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 275.0ms | (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) |
| 3503× | *-un-lft-identity |
| 3385× | add-sqr-sqrt |
| 3327× | times-frac |
| 2213× | add-cube-cbrt |
| 1900× | add-exp-log |
| 1605× | add-cbrt-cube |
| 977× | associate-*r* |
| 876× | pow1 |
| 705× | add-log-exp |
| 683× | prod-exp |
| 634× | associate-*r/ |
| 559× | cbrt-unprod |
| 505× | sqrt-prod |
| 458× | associate-*l* |
| 440× | div-exp |
| 427× | distribute-lft-out |
| 421× | flip-- flip3-- |
| 404× | difference-of-squares |
| 367× | frac-times |
| 359× | cbrt-prod |
| 349× | cbrt-undiv |
| 348× | cbrt-div |
| 311× | unpow-prod-down |
| 288× | flip-+ flip3-+ |
| 281× | associate-/l* |
| 274× | associate-/r/ |
| 266× | associate-/r* |
| 255× | distribute-lft-out-- |
| 230× | pow-prod-down |
| 227× | associate-*l/ |
| 216× | div-inv |
| 210× | frac-add |
| 167× | unswap-sqr |
| 158× | sum-log |
| 147× | sqrt-div |
| 135× | sqr-pow |
| 129× | cube-prod |
| 92× | *-commutative |
| 91× | sub-neg |
| 89× | sqrt-pow1 |
| 86× | associate-/l/ |
| 79× | swap-sqr |
| 74× | distribute-rgt-in distribute-lft-in |
| 71× | log-prod |
| 69× | pow1/2 |
| 66× | diff-log |
| 58× | clear-num frac-2neg |
| 49× | distribute-rgt-neg-in |
| 48× | pow-prod-up |
| 47× | log-pow |
| 44× | +-commutative |
| 43× | 1-exp |
| 42× | pow-unpow |
| 37× | unpow2 |
| 34× | rec-exp |
| 33× | distribute-lft-neg-in |
| 32× | exp-sum |
| 31× | pow-to-exp pow-exp |
| 30× | exp-prod |
| 29× | associate-+l+ |
| 26× | rem-sqrt-square |
| 25× | associate-+r+ pow1/3 |
| 24× | pow-sqr |
| 22× | difference-cubes pow-plus div-sub |
| 20× | pow-pow |
| 19× | pow3 |
| 18× | frac-sub |
| 16× | log-div |
| 15× | pow2 distribute-rgt-out associate--l+ |
| 12× | cube-div distribute-rgt-out-- |
| 11× | unpow3 cube-mult neg-mul-1 |
| 10× | neg-sub0 rem-log-exp |
| 8× | distribute-lft-neg-out |
| 7× | neg-log |
| 6× | associate--l- sqrt-unprod |
| 5× | un-div-inv distribute-lft1-in rem-cbrt-cube associate--r+ |
| 4× | inv-pow pow-flip associate-+l- |
| 3× | distribute-rgt1-in associate-+r- rem-square-sqrt distribute-frac-neg |
| 2× | exp-diff rem-cube-cbrt unsub-neg rem-exp-log sub-div count-2 exp-to-pow |
| 1× | sqrt-pow2 cube-unmult +-inverses associate--r- |
| 181× | egg-herbie |
Total 31.7b remaining (7.4%)
Threshold costs 3.7b (0.9%)
| 12.1b | 47.5% | Compound Interest |
| 5.0b | 82.9% | The quadratic formula (r1) |
| 4.5b | 78.3% | Kahan p9 Example |
| 2.4b | 21.9% | Complex division, real part |
| 1.5b | 93.9% | The quadratic formula (r2) |