| 67× | intervals |
| 36.8s | 269900× | body | 80 | valid |
| 12.7s | 13666× | body | 1280 | valid |
| 7.6s | 16730× | body | 160 | valid |
| 5.5s | 2212× | body | 10240 | exit |
| 5.5s | 9467× | body | 640 | valid |
| 5.1s | 3890× | body | 2560 | valid |
| 3.3s | 75879× | pre | 80 | true |
| 2.7s | 7097× | body | 320 | valid |
| 2.2s | 19170× | body | 80 | nan |
| 299.0ms | 228× | body | 5120 | valid |
| 5.0ms | 100× | pre | 80 | false |
288 calls:
| 658.0ms | (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))) |
| 508.0ms | (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) |
| 478.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* (* (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3))) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)))) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 472.0ms | (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) |
| 449.0ms | (log (+ 1 (* (* x x) x))) |
| 97× | rewrite-expression-head |
288 calls:
| 5.8s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* (* (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3))) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)))) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 1.1s | (+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096))) |
| 1.0s | (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) |
| 683.0ms | (- (+ (exp (+ (- x) (* x eps))) (/ (exp (+ (- x) (* x eps))) eps)) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps))))) |
| 560.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 15018× | times-frac |
| 9011× | add-sqr-sqrt |
| 8882× | *-un-lft-identity |
| 6041× | add-cube-cbrt |
| 1800× | add-exp-log |
| 1559× | add-cbrt-cube |
| 1418× | difference-of-squares |
| 1249× | pow1 |
| 1146× | associate-*r* |
| 967× | distribute-lft-out-- |
| 961× | associate-/r* |
| 738× | associate-/l* |
| 619× | add-log-exp |
| 613× | prod-exp |
| 582× | sqrt-prod |
| 561× | associate-*l* |
| 527× | cbrt-unprod |
| 517× | div-inv |
| 458× | div-exp |
| 435× | associate-/r/ |
| 404× | flip3-- flip-- |
| 394× | cbrt-undiv |
| 377× | pow-prod-down |
| 369× | associate-*r/ |
| 354× | distribute-lft-out |
| 288× | insert-posit16 |
| 257× | frac-times |
| 242× | cbrt-div |
| 217× | flip-+ flip3-+ |
| 212× | unpow-prod-down |
| 190× | sqr-pow |
| 180× | associate-*l/ |
| 173× | difference-of-sqr-1 |
| 172× | pow-prod-up |
| 147× | unswap-sqr |
| 131× | frac-add |
| 130× | sum-log |
| 117× | swap-sqr |
| 116× | sqrt-pow1 |
| 99× | sqrt-div |
| 88× | sub-neg |
| 86× | *-commutative |
| 81× | pow-plus |
| 78× | pow-sqr |
| 71× | cbrt-prod |
| 68× | distribute-rgt-neg-in |
| 66× | log-prod |
| 64× | pow1/2 |
| 63× | frac-2neg clear-num diff-log |
| 57× | distribute-lft-neg-in |
| 55× | pow-flip associate-/l/ |
| 50× | pow2 |
| 49× | exp-prod |
| 43× | distribute-rgt-in distribute-lft-in |
| 39× | log-pow |
| 38× | +-commutative |
| 34× | 1-exp rec-exp |
| 28× | div-sub rem-sqrt-square |
| 27× | exp-sum |
| 23× | associate-+l+ |
| 22× | frac-sub |
| 20× | log-div |
| 19× | neg-mul-1 |
| 13× | pow1/3 |
| 12× | neg-sub0 exp-diff rem-exp-log |
| 11× | associate-+r+ associate--l+ associate-+l- |
| 10× | associate--r+ inv-pow rem-log-exp |
| 9× | pow-exp pow-to-exp |
| 8× | associate--l- sqrt-unprod pow-div |
| 7× | pow3 distribute-frac-neg distribute-lft-neg-out |
| 6× | pow-unpow difference-of-sqr--1 |
| 5× | neg-log un-div-inv exp-to-pow |
| 3× | distribute-rgt-out-- associate--r- |
| 2× | distribute-lft1-in remove-posit16 associate-+r- pow-pow rem-square-sqrt exp-lft-cube distribute-rgt-out |
| 1× | cube-unmult distribute-rgt-neg-out sub0-neg sub-div rem-cbrt-cube unsub-neg |
Total 27.9b remaining (10.9%)
Threshold costs 2.1b (0.8%)
| 10.8b | 52% | Compound Interest |
| 4.9b | 74.9% | Kahan p9 Example |
| 3.1b | 88.7% | The quadratic formula (r1) |
| 2.4b | 0% | Complex division, real part |
| 1.8b | 0% | Complex division, imag part |