| 67× | intervals |
| 38.4s | 269718× | body | 80 | valid |
| 13.2s | 13550× | body | 1280 | valid |
| 7.8s | 16932× | body | 160 | valid |
| 6.1s | 9451× | body | 640 | valid |
| 5.6s | 3894× | body | 2560 | valid |
| 4.7s | 2170× | body | 10240 | exit |
| 3.3s | 75803× | pre | 80 | true |
| 2.6s | 19551× | body | 80 | nan |
| 2.4s | 6828× | body | 320 | valid |
| 393.0ms | 264× | body | 5120 | valid |
| 10.0ms | 100× | pre | 80 | false |
314 calls:
| 541.0ms | (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) |
| 467.0ms | (+ (* (* (* 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))) |
| 441.0ms | (/ (- (* (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* c a) 4)))) (* (* b b) b)) (+ (+ (- (* b b) (* (* c a) 4)) (* b (sqrt (- (* b b) (* (* c a) 4))))) (* b b))) |
| 408.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1)) (* (- 6) (* x1 x1)))) |
| 394.0ms | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 107× | rewrite-expression-head |
314 calls:
| 1.3s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1)) (* (- 6) (* x1 x1)))) |
| 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))) (/ 77617 (* 2 33096))) |
| 906.0ms | (+ (+ (* 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))) |
| 741.0ms | (/ (* (+ (* (* (* x x) x) (* (* x x) x)) (* (* y (* y y)) (* y (* y y)))) (- (* (* (* x x) x) (* (* x x) x)) (* (* y (* y y)) (* y (* y y))))) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* x x)))))) |
| 670.0ms | (cbrt (* (* (+ (* (* (* x x) x) 2/3) (- 2 (* x x))) (+ (* (* (* x x) x) 2/3) (- 2 (* x x)))) (+ (* (* (* x x) x) 2/3) (- 2 (* x x))))) |
| 37122× | times-frac |
| 24624× | add-sqr-sqrt |
| 23883× | *-un-lft-identity |
| 10430× | add-cube-cbrt |
| 5801× | difference-of-squares |
| 4616× | distribute-lft-out-- |
| 2647× | div-inv |
| 1898× | add-exp-log |
| 1685× | associate-/l* |
| 1626× | distribute-lft-out |
| 1556× | add-cbrt-cube |
| 1016× | pow1 |
| 719× | add-log-exp |
| 665× | associate-*r* |
| 606× | prod-exp |
| 521× | div-exp |
| 492× | cbrt-unprod |
| 422× | associate-/r* |
| 404× | cbrt-undiv |
| 377× | associate-*l* |
| 314× | insert-posit16 |
| 312× | associate-/r/ |
| 270× | flip-+ flip3-+ |
| 263× | exp-prod |
| 246× | pow-prod-down |
| 241× | log-pow |
| 239× | cbrt-prod |
| 184× | unpow-prod-down |
| 172× | flip3-- flip-- |
| 164× | frac-times |
| 163× | sqrt-prod associate-*r/ |
| 160× | sum-log |
| 157× | sqr-pow |
| 145× | difference-of-sqr-1 |
| 123× | associate-*l/ |
| 112× | pow-prod-up |
| 105× | swap-sqr |
| 98× | unswap-sqr |
| 93× | cbrt-div |
| 91× | associate-/l/ |
| 86× | frac-sub |
| 83× | sub-neg |
| 77× | *-commutative |
| 74× | exp-neg |
| 72× | diff-log pow-sqr |
| 70× | frac-2neg clear-num |
| 66× | distribute-rgt-neg-in |
| 63× | pow-plus |
| 62× | exp-diff |
| 61× | neg-sub0 |
| 60× | distribute-lft-neg-in |
| 53× | log-prod +-commutative |
| 51× | sqrt-div |
| 44× | pow2 |
| 41× | 1-exp rec-exp distribute-rgt-in distribute-lft-in |
| 35× | frac-add |
| 27× | associate-+r+ |
| 25× | associate-+l+ |
| 24× | div-sub |
| 22× | sqrt-pow1 neg-mul-1 pow1/3 un-div-inv |
| 18× | difference-of-sqr--1 pow1/2 |
| 17× | rem-sqrt-square |
| 15× | pow3 |
| 14× | log-div |
| 13× | exp-sum |
| 11× | pow-exp associate--l+ pow-to-exp |
| 10× | pow-flip rem-log-exp |
| 9× | pow-unpow inv-pow |
| 8× | associate--l- |
| 7× | distribute-lft-neg-out rem-exp-log |
| 6× | associate-+r- distribute-frac-neg difference-cubes |
| 5× | neg-log exp-to-pow |
| 4× | remove-posit16 cube-prod |
| 3× | distribute-rgt-out-- cube-unmult distribute-rgt-neg-out pow-pow distribute-rgt-out |
| 2× | distribute-lft1-in associate--r+ unsub-neg |
| 1× | unpow3 sub-div cube-mult rem-cbrt-cube count-2 distribute-rgt1-in |
Total 33.9b remaining (12.6%)
Threshold costs 2.8b (1%)
| 10.1b | 53.3% | Compound Interest |
| 4.5b | 77.2% | Kahan p9 Example |
| 4.1b | 85.6% | The quadratic formula (r1) |
| 3.0b | -9.7% | Complex division, imag part |
| 3.0b | 89.1% | The quadratic formula (r2) |