| 108× | rewrite-expression-head |
304 calls:
| 44.7s | (+ (+ (* (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))) (cbrt (- (/ (- (+ (* (* 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))) x1))) (* x1 (* x1 (- 6.0)))) |
| 3.4s | (+ (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 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))) x1))) (* x1 (* x1 (- 6.0)))) |
| 2.5s | (+ (+ (* 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))) |
| 1.1s | (+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.1s | (* (* (* 2.0 x1) (/ (- (+ (* (* 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)) |
| 7017× | times-frac |
| 5704× | *-un-lft-identity |
| 5006× | add-sqr-sqrt |
| 3338× | add-cube-cbrt |
| 1556× | add-exp-log |
| 1253× | add-cbrt-cube |
| 831× | distribute-lft-out |
| 771× | add-log-exp |
| 755× | difference-of-squares |
| 733× | unpow-prod-down |
| 707× | associate-*l* |
| 670× | pow1 |
| 661× | associate-*r* |
| 560× | associate-/r* |
| 528× | sqrt-prod |
| 464× | distribute-rgt-neg-in |
| 461× | prod-exp |
| 435× | distribute-lft-neg-in |
| 416× | div-exp |
| 393× | associate-/r/ |
| 377× | sqr-pow |
| 364× | cbrt-unprod |
| 349× | distribute-lft-out-- |
| 342× | associate-/l* |
| 334× | associate-*r/ |
| 324× | div-inv |
| 269× | cbrt-undiv |
| 266× | flip3-- flip-- |
| 254× | flip-+ flip3-+ |
| 197× | unpow2 |
| 187× | sum-log |
| 162× | pow-prod-down |
| 145× | neg-mul-1 |
| 139× | unswap-sqr |
| 120× | cube-prod |
| 109× | sub-neg |
| 105× | frac-times |
| 90× | associate-/l/ |
| 88× | diff-log |
| 80× | associate-*l/ |
| 74× | cbrt-prod |
| 73× | distribute-rgt-in frac-add swap-sqr distribute-lft-in |
| 71× | sqrt-div |
| 68× | clear-num frac-2neg |
| 66× | *-commutative |
| 56× | pow-exp |
| 53× | +-commutative |
| 52× | pow-to-exp |
| 45× | log-prod |
| 37× | associate-+l+ |
| 35× | 1-exp rec-exp |
| 34× | associate-+r+ frac-sub |
| 31× | rem-sqrt-square |
| 25× | div-sub |
| 24× | pow1/2 sqrt-pow1 |
| 20× | log-div |
| 19× | pow-unpow |
| 17× | pow-prod-up associate--l+ |
| 15× | pow-plus cbrt-div associate--r+ |
| 13× | pow-sqr log-pow |
| 12× | unpow3 cube-mult neg-sub0 |
| 11× | distribute-rgt-out-- |
| 10× | difference-cubes associate--l- pow2 sub-div neg-log pow-pow |
| 9× | exp-prod exp-sum |
| 8× | cube-div pow1/3 distribute-rgt-neg-out |
| 7× | inv-pow pow-flip rem-log-exp |
| 6× | pow3 associate-+l- |
| 4× | associate-+r- unsub-neg associate--r- rem-cbrt-cube |
| 3× | distribute-frac-neg exp-to-pow |
| 2× | exp-diff rem-exp-log distribute-lft-neg-out distribute-rgt-out distribute-neg-frac |
| 1× | rem-cube-cbrt un-div-inv distribute-lft1-in |
| 73× | intervals |
| 14.5s | 294392× | body | 80 | valid |
| 5.2s | 13520× | body | 1280 | valid |
| 2.7s | 3867× | body | 2560 | valid |
| 2.4s | 9616× | body | 640 | valid |
| 2.0s | 16879× | body | 160 | valid |
| 1.9s | 2182× | body | 10240 | exit |
| 1.4s | 100625× | pre | 80 | true |
| 1.1s | 6878× | body | 320 | valid |
| 628.0ms | 19722× | body | 80 | nan |
| 94.0ms | 229× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
304 calls:
| 909.0ms | (cbrt (* 100.0 (* (/ (+ (+ (* 1.0 i) (* (log 1.0) n)) (* (pow i 2) (- 0.5 (* 0.5 (log 1.0))))) i) n))) |
| 607.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4)) |
| 484.0ms | (+ (+ (* (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))) (cbrt (- (/ (- (+ (* (* 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))) x1))) (* x1 (* x1 (- 6.0)))) |
| 402.0ms | (cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3)) |
| 400.0ms | (cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3)) |
| 178× | egg-herbie |
Total 34.9b remaining (8.3%)
Threshold costs 4.0b (0.9%)
| 12.9b | 44.5% | Compound Interest |
| 5.5b | 73.8% | Kahan p9 Example |
| 4.2b | 85.2% | The quadratic formula (r2) |
| 3.2b | 89% | The quadratic formula (r1) |
| 2.8b | 9% | Complex division, real part |