| 108× | rewrite-expression-head |
312 calls:
| 32.7s | (+ (/ (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (pow (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) 2))) (+ (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0)))) (* (* 5.5 (pow 33096.0 8.0)) (- (* 5.5 (pow 33096.0 8.0)) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))))))) (/ 77617.0 (* 2.0 33096.0))) |
| 30.4s | (+ (/ (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (pow (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) 2))) (+ (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0)))) (* (* 5.5 (pow 33096.0 8.0)) (- (* (* 5.5 (pow (* (cbrt 33096.0) (cbrt 33096.0)) 8.0)) (pow (cbrt 33096.0) 8.0)) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))))))) (/ 77617.0 (* 2.0 33096.0))) |
| 5.7s | (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (pow (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) 3)) |
| 4.3s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 4.2s | (* x1 (+ (* 2.0 (* (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (* x1 (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 2973× | add-sqr-sqrt *-un-lft-identity |
| 2671× | times-frac |
| 1912× | add-cube-cbrt |
| 1805× | add-exp-log |
| 1573× | add-cbrt-cube |
| 1079× | associate-*r* |
| 848× | pow1 |
| 734× | add-log-exp |
| 673× | prod-exp |
| 587× | cbrt-unprod |
| 546× | associate-*r/ |
| 451× | associate-*l* |
| 439× | unpow-prod-down |
| 436× | cbrt-prod |
| 423× | flip-- flip3-- |
| 406× | frac-times |
| 389× | div-exp |
| 387× | distribute-lft-out |
| 368× | cbrt-div |
| 356× | sqrt-prod |
| 343× | cbrt-undiv |
| 302× | difference-of-squares |
| 282× | associate-*l/ |
| 261× | pow-prod-down |
| 251× | associate-/r* |
| 247× | associate-/l* |
| 245× | flip-+ flip3-+ |
| 210× | cube-prod |
| 204× | unswap-sqr |
| 194× | frac-add |
| 187× | distribute-lft-out-- |
| 178× | sqr-pow |
| 177× | associate-/r/ |
| 175× | sum-log |
| 174× | div-inv |
| 106× | sqrt-div |
| 101× | frac-sub |
| 93× | sub-neg |
| 85× | *-commutative |
| 83× | associate-/l/ |
| 80× | exp-neg sqrt-pow1 |
| 79× | diff-log |
| 72× | distribute-rgt-neg-in |
| 68× | unpow2 |
| 67× | swap-sqr pow-exp |
| 66× | distribute-lft-neg-in |
| 65× | neg-sub0 |
| 60× | exp-diff |
| 57× | distribute-rgt-in distribute-lft-in |
| 54× | pow1/2 clear-num pow-to-exp frac-2neg |
| 53× | cube-mult |
| 52× | unpow3 |
| 50× | +-commutative |
| 40× | log-prod |
| 34× | associate-+l+ |
| 31× | pow-prod-up |
| 28× | pow-unpow rem-sqrt-square |
| 26× | pow1/3 |
| 25× | un-div-inv |
| 22× | pow-sqr neg-mul-1 div-sub |
| 19× | associate-+r+ |
| 18× | cube-div |
| 15× | associate--r+ |
| 14× | pow-plus |
| 12× | associate--l+ |
| 11× | rem-cube-cbrt pow2 |
| 10× | log-pow pow-pow log-div |
| 8× | rec-exp rem-cbrt-cube 1-exp |
| 7× | associate--l- |
| 5× | sqrt-unprod |
| 4× | distribute-lft-neg-out associate-+r- distribute-frac-neg associate--r- |
| 3× | sub-div neg-log sum-cubes rem-log-exp |
| 2× | inv-pow cube-unmult distribute-rgt-out-- pow-flip rem-square-sqrt distribute-rgt-out associate-+l- |
| 1× | unsub-neg distribute-lft1-in distribute-rgt1-in unpow-prod-up |
| 73× | intervals |
| 28.5s | 294377× | body | 80 | valid |
| 9.0s | 13724× | body | 1280 | valid |
| 5.4s | 16808× | body | 160 | valid |
| 5.2s | 3775× | body | 2560 | valid |
| 3.9s | 100609× | pre | 80 | true |
| 3.7s | 9384× | body | 640 | valid |
| 2.4s | 2183× | body | 10240 | exit |
| 1.7s | 7009× | body | 320 | valid |
| 1.4s | 19545× | body | 80 | nan |
| 206.0ms | 223× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
312 calls:
| 828.0ms | (/ (* (* a c) 4.0) (sqrt (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))) |
| 689.0ms | (cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3)) |
| 656.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 623.0ms | (* 5.5 (pow y 8.0)) |
| 620.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4)) |
Total 34.6b remaining (8%)
Threshold costs 2.7b (0.6%)
| 10.6b | 52.2% | Compound Interest |
| 4.8b | 82.2% | The quadratic formula (r2) |
| 4.5b | 76.5% | Kahan p9 Example |
| 3.5b | 87.9% | The quadratic formula (r1) |
| 2.8b | 3.9% | Complex division, real part |