| 66× | intervals |
| 38.4s | 262007× | body | 80 | valid |
| 12.7s | 13999× | body | 1280 | valid |
| 8.6s | 16681× | body | 160 | valid |
| 6.5s | 9366× | body | 640 | valid |
| 6.3s | 3795× | body | 2560 | valid |
| 4.3s | 2226× | body | 10240 | exit |
| 3.6s | 6925× | body | 320 | valid |
| 3.6s | 67864× | pre | 80 | true |
| 2.5s | 19408× | body | 80 | nan |
| 714.0ms | 267× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
249 calls:
| 804.0ms | (+ (+ (* (+ (* (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (fma (* -6 x1) (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) (* (* x1 x1) (fma 4 (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) -6)))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) |
| 777.0ms | (- (/ (sqrt (fma b b (* (* a -4) c))) (cbrt a)) (/ b (cbrt a))) |
| 672.0ms | (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))) |
| 652.0ms | (+ (* (fma (/ (* (cbrt (- (+ (* (* 3 x1) x1) (* 2 x2)) x1)) (cbrt (- (+ (* (* 3 x1) x1) (* 2 x2)) x1))) 1) (/ (cbrt (- (+ (* (* 3 x1) x1) (* 2 x2)) x1)) (+ (* x1 x1) 1)) (- (* 3 1))) (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (fma (* 0 x1) (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) (* (* x1 x1) (fma 4 (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) -6)))) |
| 535.0ms | (+ (* (* (* 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)) (- (* (sqrt 6) (sqrt 6)))) (* x1 x1)) (* 0 (* x1 x1)))) |
| 96× | rewrite-expression-head |
249 calls:
| 2.1s | (+ (+ (* (+ (* (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (fma (* -6 x1) (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) (* (* x1 x1) (fma 4 (/ (fma 3 (* x1 x1) (- (* 2 x2) x1)) (fma x1 x1 1)) -6)))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) |
| 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))) |
| 951.0ms | (+ (+ (* 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))) |
| 897.0ms | (+ (* (* (* 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)) (- (* (sqrt 6) (sqrt 6)))) (* x1 x1)) (* 0 (* x1 x1)))) |
| 721.0ms | (+ (* (* (* 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))) |
| 7600× | times-frac |
| 6647× | *-un-lft-identity |
| 5996× | add-sqr-sqrt |
| 5083× | add-cube-cbrt |
| 2760× | prod-diff |
| 1142× | add-exp-log |
| 1014× | add-cbrt-cube |
| 945× | sqrt-prod |
| 803× | cbrt-prod |
| 798× | pow1 |
| 566× | distribute-lft-out |
| 501× | add-log-exp |
| 489× | associate-*r* |
| 465× | associate-*l* |
| 409× | div-inv |
| 405× | associate-/r* |
| 396× | distribute-rgt-neg-in |
| 353× | prod-exp |
| 343× | distribute-lft-neg-in |
| 315× | cbrt-unprod |
| 302× | difference-of-squares |
| 286× | associate-/l* |
| 269× | associate-+l+ |
| 252× | expm1-log1p-u |
| 249× | log1p-expm1-u insert-posit16 |
| 243× | div-exp |
| 226× | pow-prod-down |
| 222× | associate-/r/ |
| 212× | fma-neg |
| 206× | unpow-prod-down |
| 191× | flip-+ flip3-+ |
| 190× | distribute-lft-out-- |
| 184× | cbrt-undiv |
| 149× | distribute-rgt-in distribute-lft-in |
| 117× | sum-log |
| 110× | unswap-sqr |
| 97× | neg-mul-1 |
| 93× | fma-def |
| 77× | sqr-pow |
| 75× | associate-*r/ |
| 72× | flip3-- flip-- |
| 66× | *-commutative |
| 62× | associate-*l/ |
| 59× | fma-udef |
| 52× | frac-2neg clear-num pow-prod-up |
| 49× | swap-sqr |
| 47× | frac-times |
| 46× | sqrt-div |
| 40× | associate-/l/ sub-neg |
| 36× | sqrt-pow1 frac-add |
| 35× | pow1/2 diff-log |
| 34× | pow-sqr |
| 31× | 1-exp rec-exp |
| 30× | pow-plus |
| 29× | +-commutative |
| 26× | div-sub rem-sqrt-square |
| 21× | associate-+r+ |
| 19× | exp-sum |
| 17× | pow-flip pow2 |
| 15× | distribute-frac-neg |
| 13× | exp-prod |
| 12× | cube-prod hypot-def |
| 11× | inv-pow |
| 9× | pow-exp pow-to-exp |
| 8× | neg-sub0 distribute-neg-frac log-pow pow-div |
| 7× | distribute-lft-neg-out |
| 4× | log-prod pow1/3 associate--l- un-div-inv |
| 3× | frac-sub pow-unpow log1p-expm1 unpow3 rem-exp-log cube-mult log1p-udef |
| 2× | remove-posit16 associate-+r- distribute-rgt-out-- cube-unmult associate--l+ pow3 neg-log sub-div unsub-neg |
| 1× | expm1-udef exp-diff distribute-lft1-in sqrt-unprod pow-pow rem-log-exp remove-double-div rem-square-sqrt distribute-rgt-out |
Total 33.6b remaining (20.5%)
Threshold costs 2.3b (1.4%)
| 14.4b | 39.5% | Compound Interest |
| 6.1b | 78.1% | The quadratic formula (r1) |
| 4.3b | 84.9% | The quadratic formula (r2) |
| 2.9b | -6.3% | Complex division, imag part |
| 2.6b | 0% | Complex division, real part |