| 64× | intervals |
| 39.5s | 270072× | body | 80 | valid |
| 13.0s | 13427× | body | 1280 | valid |
| 7.8s | 16888× | body | 160 | valid |
| 6.6s | 9534× | body | 640 | valid |
| 5.5s | 3866× | body | 2560 | valid |
| 3.6s | 75626× | pre | 80 | true |
| 3.5s | 2043× | body | 10240 | exit |
| 3.3s | 6935× | body | 320 | valid |
| 2.7s | 19446× | body | 80 | nan |
| 391.0ms | 241× | body | 5120 | valid |
266 calls:
| 2.0s | (fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a))) |
| 1.1s | (/ (fma (* (+ e (+ b (+ d c))) (+ e (+ b (+ d c)))) (+ e (+ b (+ d c))) (* a (* a a))) (- (fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a)) (* a (+ e (+ b (+ d c)))))) |
| 671.0ms | (+ (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) -3)) (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1))) (* (- 6) (* x1 x1))) |
| 513.0ms | (fma (+ e (+ b (+ d c))) (+ e (+ b (+ d c))) (* a a)) |
| 488.0ms | (+ (+ (* (* (* 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))) |
| 93× | rewrite-expression-head |
266 calls:
| 4.2s | (+ (+ (* (* (* 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))) |
| 3.8s | (+ (+ (* (* (* 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))) |
| 2.0s | (+ (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) -3)) (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1))) (* (- 6) (* x1 x1))) |
| 1.3s | (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) |
| 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))) |
| 8708× | *-un-lft-identity |
| 8342× | add-sqr-sqrt |
| 7983× | times-frac |
| 6902× | add-cube-cbrt |
| 6652× | prod-diff |
| 3478× | exp-sum |
| 2121× | associate-+l+ |
| 1919× | distribute-rgt-in distribute-lft-in |
| 1330× | pow1 |
| 1196× | add-exp-log |
| 1060× | add-cbrt-cube |
| 952× | sqrt-prod |
| 708× | associate-*r* |
| 627× | cbrt-prod |
| 536× | difference-of-squares |
| 533× | add-log-exp |
| 492× | distribute-lft-out |
| 462× | associate-*l* |
| 427× | div-inv |
| 420× | pow-prod-down |
| 401× | distribute-lft-out-- |
| 395× | prod-exp |
| 390× | associate-/l* |
| 363× | sub-neg |
| 345× | cbrt-unprod |
| 296× | associate-/r* |
| 269× | expm1-log1p-u |
| 266× | log1p-expm1-u insert-posit16 |
| 241× | div-exp |
| 221× | associate-/r/ |
| 203× | distribute-rgt-neg-in |
| 202× | fma-neg |
| 181× | cbrt-undiv |
| 180× | flip-+ flip3-+ |
| 178× | pow-prod-up |
| 174× | distribute-lft-neg-in |
| 148× | sqrt-pow1 |
| 127× | unswap-sqr |
| 123× | sum-log |
| 120× | associate-*r/ |
| 117× | swap-sqr |
| 112× | fma-def |
| 111× | associate-+r+ |
| 104× | pow-sqr |
| 99× | flip3-- flip-- |
| 87× | frac-times |
| 80× | pow-plus |
| 76× | associate-*l/ |
| 75× | cbrt-div |
| 72× | *-commutative |
| 58× | neg-mul-1 pow1/2 |
| 56× | fma-udef exp-prod |
| 55× | frac-2neg clear-num |
| 51× | associate-/l/ |
| 49× | pow2 |
| 40× | diff-log |
| 33× | unpow-prod-down |
| 29× | sqrt-div |
| 28× | 1-exp rec-exp |
| 24× | div-sub log-pow frac-add |
| 23× | +-commutative rem-sqrt-square |
| 20× | pow1/3 |
| 13× | pow-flip |
| 12× | sqr-pow |
| 11× | distribute-lft-neg-out |
| 10× | pow3 |
| 9× | associate--l+ |
| 8× | frac-sub rem-exp-log |
| 7× | log-prod cube-unmult associate--l- hypot-def |
| 6× | neg-sub0 pow-exp distribute-frac-neg inv-pow pow-to-exp |
| 5× | difference-cubes un-div-inv |
| 4× | neg-log |
| 3× | remove-posit16 pow-unpow log1p-expm1 sqrt-unprod rem-square-sqrt unsub-neg log1p-udef |
| 2× | rem-log-exp |
| 1× | expm1-udef associate-+r- pow-pow associate-+l- rem-cbrt-cube |
Total 41.3b remaining (28.5%)
Threshold costs 1.9b (1.3%)
| 13.2b | 45.3% | Compound Interest |
| 7.5b | 32.5% | Complex division, real part |
| 4.9b | 81.9% | The quadratic formula (r1) |
| 4.5b | 76.7% | Kahan p9 Example |
| 4.2b | 84.7% | The quadratic formula (r2) |