| 67× | intervals |
| 24.8s | 269828× | body | 80 | valid |
| 10.6s | 13759× | body | 1280 | valid |
| 5.6s | 9295× | body | 640 | valid |
| 4.8s | 16809× | body | 160 | valid |
| 4.1s | 3938× | body | 2560 | valid |
| 3.3s | 2216× | body | 10240 | exit |
| 2.7s | 75892× | pre | 80 | true |
| 2.1s | 6881× | body | 320 | valid |
| 1.4s | 19428× | body | 80 | nan |
| 201.0ms | 245× | body | 5120 | valid |
| 8.0ms | 100× | pre | 80 | false |
268 calls:
| 708.0ms | (sqrt (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))) |
| 664.0ms | (sqrt (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))) |
| 621.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1 1))) (- (* x1 x1) 1) -3)) (+ (* (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6)))) (* x1 x1)) 0)) |
| 588.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1 1))) (- (* x1 x1) 1) -3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 576.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (cbrt 6) (* (cbrt 6) (cbrt 6))))) (* x1 x1)) (* (+ (- 6) 6) (* x1 x1)))) |
| 95× | rewrite-expression-head |
268 calls:
| 1.5s | (+ (+ (+ (* 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))) |
| 1.5s | (* (sqrt (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))) (sqrt (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r)))))) |
| 1.4s | (+ (+ (* 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))) |
| 1.2s | (+ (* (* (* 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))) |
| 1.1s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (cbrt 6) (* (cbrt 6) (cbrt 6))))) (* x1 x1)) (* (+ (- 6) 6) (* x1 x1)))) |
| 4532× | *-un-lft-identity |
| 4220× | add-sqr-sqrt |
| 4173× | times-frac |
| 3139× | add-cube-cbrt |
| 2364× | pow1 |
| 1482× | pow-prod-down |
| 1333× | prod-diff |
| 1232× | add-exp-log |
| 1070× | add-cbrt-cube |
| 659× | associate-*r* |
| 555× | add-log-exp |
| 462× | sqrt-pow1 |
| 457× | difference-of-squares |
| 425× | distribute-lft-out |
| 404× | prod-exp |
| 358× | sqrt-prod |
| 351× | associate-*l* |
| 348× | cbrt-unprod |
| 302× | associate-/r* |
| 296× | associate-+l+ |
| 295× | associate-/l* |
| 270× | expm1-log1p-u |
| 269× | log1p-expm1-u |
| 268× | insert-posit16 |
| 264× | div-inv |
| 246× | div-exp |
| 222× | distribute-lft-out-- |
| 198× | associate-/r/ |
| 184× | cbrt-undiv |
| 176× | flip-+ flip3-+ |
| 175× | distribute-rgt-in distribute-lft-in |
| 168× | fma-neg |
| 144× | unpow-prod-down |
| 141× | cbrt-prod |
| 121× | sum-log |
| 120× | difference-of-sqr-1 |
| 113× | pow-prod-up associate-*r/ |
| 112× | distribute-rgt-neg-in |
| 109× | fma-def |
| 107× | sqr-pow |
| 105× | distribute-lft-neg-in |
| 101× | unswap-sqr |
| 97× | flip3-- flip-- |
| 87× | fma-udef |
| 79× | pow-sqr |
| 76× | associate-*l/ |
| 68× | frac-times exp-sum *-commutative |
| 59× | sub-neg |
| 58× | pow1/2 |
| 56× | frac-2neg clear-num |
| 54× | frac-add |
| 51× | diff-log |
| 50× | associate-/l/ |
| 35× | neg-mul-1 |
| 31× | associate-+r+ swap-sqr |
| 29× | +-commutative |
| 28× | log-prod 1-exp rec-exp |
| 27× | cbrt-div |
| 24× | rem-sqrt-square |
| 23× | associate--r+ |
| 22× | div-sub |
| 20× | sqrt-div exp-prod |
| 18× | associate--l+ |
| 13× | frac-sub |
| 12× | pow-exp pow-to-exp log-pow |
| 10× | pow-flip pow-plus inv-pow |
| 9× | pow2 |
| 8× | hypot-def |
| 7× | distribute-rgt-out |
| 6× | pow-div log-div |
| 5× | associate--l- rem-exp-log |
| 4× | expm1-udef exp-diff pow1/3 cube-unmult distribute-frac-neg |
| 3× | neg-sub0 remove-posit16 pow-unpow log1p-expm1 associate--r- expm1-def log1p-udef |
| 2× | neg-log sqrt-unprod distribute-lft-neg-out un-div-inv rem-log-exp exp-to-pow sub-div associate-+l- rem-square-sqrt |
| 1× | expm1-log1p sub0-neg pow-pow log1p-def |
Total 37.3b remaining (28%)
Threshold costs 2.6b (1.9%)
| 8.9b | 18.6% | Complex division, real part |
| 8.0b | 25.4% | Compound Interest |
| 7.6b | 35.9% | Complex division, imag part |
| 5.0b | 82.3% | The quadratic formula (r2) |
| 3.8b | 86.1% | The quadratic formula (r1) |