| 73× | intervals |
| 28.7s | 294310× | body | 80 | valid |
| 9.4s | 13712× | body | 1280 | valid |
| 4.9s | 16845× | body | 160 | valid |
| 4.6s | 3903× | body | 2560 | valid |
| 3.6s | 9310× | body | 640 | valid |
| 2.8s | 100636× | pre | 80 | true |
| 2.6s | 2227× | body | 10240 | exit |
| 1.5s | 19547× | body | 80 | nan |
| 1.5s | 6878× | body | 320 | valid |
| 161.0ms | 257× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
302 calls:
| 2.6s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.0s | (+ (* (* (* 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 716.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 674.0ms | (+ (* (* (* 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)) (+ (* (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) (* x1 x1)) (* (- 6.0) (* x1 x1)))) |
| 641.0ms | (* (pow y 6.0) 333.75) |
| 106× | rewrite-expression-head |
302 calls:
| 1.7s | (+ (+ (* 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))) |
| 1.7s | (+ (+ (+ (* 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))) |
| 1.4s | (+ (* (* (* 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)) (+ (* (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) (* x1 x1)) (* (- 6.0) (* x1 x1)))) |
| 1.3s | (+ (* (* (* 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)) (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* (* x1 x1) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))))) |
| 1.2s | (+ (* (* (* 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 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 6347× | *-un-lft-identity |
| 6275× | add-sqr-sqrt |
| 6003× | times-frac |
| 4598× | add-cube-cbrt |
| 2423× | prod-diff |
| 1828× | add-exp-log |
| 1460× | add-cbrt-cube |
| 1140× | sqrt-prod |
| 877× | associate-*r* |
| 763× | pow1 |
| 668× | cbrt-div |
| 639× | associate-*l* |
| 633× | distribute-rgt-in distribute-lft-in |
| 621× | associate-*r/ |
| 615× | frac-times |
| 610× | add-log-exp |
| 605× | difference-of-squares |
| 596× | flip3-- flip-- |
| 593× | prod-exp |
| 549× | associate-*l/ |
| 529× | associate-+l+ |
| 503× | div-exp |
| 492× | distribute-lft-out |
| 469× | unpow-prod-down |
| 453× | cbrt-unprod |
| 429× | div-inv |
| 397× | associate-/l* |
| 364× | distribute-lft-out-- |
| 362× | cbrt-undiv |
| 334× | associate-/r* |
| 302× | log1p-expm1-u expm1-log1p-u |
| 296× | frac-add |
| 241× | sqr-pow |
| 222× | unswap-sqr |
| 211× | flip-+ flip3-+ associate-/r/ |
| 210× | pow-prod-down |
| 203× | fma-neg |
| 197× | distribute-rgt-neg-in |
| 178× | cube-prod |
| 169× | distribute-lft-neg-in |
| 137× | sum-log |
| 129× | sqrt-div |
| 120× | cbrt-prod |
| 111× | fma-def |
| 92× | frac-sub |
| 81× | exp-neg |
| 78× | sqrt-pow1 |
| 72× | *-commutative |
| 71× | neg-sub0 |
| 68× | associate-/l/ |
| 66× | clear-num frac-2neg |
| 63× | 1-exp rec-exp |
| 62× | exp-diff |
| 60× | sub-neg |
| 57× | neg-mul-1 |
| 54× | pow1/2 |
| 52× | swap-sqr |
| 47× | diff-log |
| 45× | fma-udef |
| 39× | log-prod |
| 35× | +-commutative |
| 32× | pow-prod-up |
| 31× | unpow3 cube-mult |
| 26× | un-div-inv rem-sqrt-square |
| 25× | associate-+r+ |
| 20× | pow-sqr |
| 19× | pow1/3 div-sub |
| 18× | pow-to-exp pow-plus pow-exp |
| 14× | pow-flip |
| 13× | exp-sum |
| 12× | pow-unpow pow2 |
| 11× | unpow2 |
| 10× | inv-pow log-pow distribute-frac-neg exp-prod |
| 9× | distribute-lft-neg-out |
| 7× | associate--l- neg-log |
| 6× | difference-cubes sqrt-unprod pow-pow |
| 5× | rem-cbrt-cube log-div |
| 4× | associate--l+ |
| 3× | rem-exp-log rem-cube-cbrt associate-+r- associate-+l- |
| 2× | cube-div expm1-udef unsub-neg rem-square-sqrt associate--r+ rem-log-exp |
| 1× | sqrt-undiv sqrt-pow2 pow3 expm1-log1p distribute-rgt-out |
Total 41.7b remaining (17.1%)
Threshold costs 3.2b (1.3%)
| 10.3b | 58.2% | Compound Interest |
| 8.6b | 22.2% | Complex division, real part |
| 7.0b | 37% | Complex division, imag part |
| 5.7b | 80.2% | The quadratic formula (r1) |
| 5.5b | 77.2% | The quadratic formula (r2) |